CHM 101 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. Which of the following alcohols is popularly known as “fuel alcohol”? (a) Propanol (b) Butanol (c) Pentanol (d) Cyclohexanol C(CH3)2 (OH) – C(CH3)2 – C(OH)2 – CH3, the name of the above compound is (a) 2,3,3trimethylpentan-2,4,4-triol (b) 1,1,2,2tetramethylbutan-1,3,3-triol (c) 3,3,4trimethylpetan-2,2,4-triol (d) 2,3,4trimethylpentan-1,2,2-triol An element X has 54 protons, the group which X belong is (a) Transition (b) Lanthanide (c) Noble gas (d) chalcogen The triad concept of grouping three elements of similar properties was done by (a) Dmitri Mendeleef (b) John Newland (c) Henry Moseley (d) Wolfgang Doberenier A gas absorbs 2000J of heat and expands by 1.5dm3 against a constant pressure of 3atm the change in internal energy is approximately (a) +1545.5J (b) +2454.5J (c) -1545.5J (d) -2454.5J Which of the following is not a state function? (a) Entropy (b) Work (c) Free energy (d) Internal energy Which of the following alcohols has the least melting point? (a) 2,2 – dimethylproan – 1 – ol (b) 2 – methylpentan – 2 - 0l (c) 2,3 – dimethylbutan – 1 – 0l (d) 4 – methylbutan – 2 – 0l What class of alcohol is 2-methylcyclohexan – 1 – 0l? (a) Dihydric alkanol (b) Primary alkanol (c) Secondary alkanol (d) Tertiary alkanol F- → F + -e ΔH = -xkJmol-1 from the above, the reversed enthalpy change is (a) Ionization energy (b) Affinity energy (c) Electronegitivity energy (d) Electron Affinity Which of the following equations justify the general name given to the Group 1 metals of the periodic table? (a) 2X + 2H2O → 2XoH + H2 (b) 2XNO3 → 2XNO2 + O2 (c) 2X + H2 → 2XH (d) X → X+ + -e The polyhydric alcohol which is usually used in the production of cream, ointment and cosmetics is (a) Ethan-1,2-diol (b) Propan-1,2,3-triol (c) Butan-1,2,3,4-tetrol (d) Pentan-1,2,3,4,5 – Pentol 12. 13. 14. 15. 16. 17. 18. 1 Which of the following is not correct about the solubility trend of alcohols? (a) As the number of OH increases, the alcohol becomes more soluble. (b) As the number of carbon atom increases, the solubility in benzene reduces (c) As more electronegative elements are substituted for hydrogen, solubility increases (d) As the number of carbon atoms increases, the solubility in water decreases. Arrange the following atoms in order of increasing atomic radius 9F, 4Be, 13Al, 16S and 10Ne. (a) 4Be < 9F < 10Ne < 13Al < 16S (b) 10Ne < 13Al < 16S < 9F < 4Be (c) 4Be < 13Al < 16S < 9F < 10Ne (d) 10Ne < 9F < 4Be < 16S < 13Al I Noble gases II Halogens III Chalcogens IV Alkaline earth metals Which of the above elements have ionization energy of approximately zero? (a) I, II, III and IV (b) I only (c) I, II and III only (d) I and IV only An alkanol has a molar mass of 158g/mol, the name of its proceeding homologue is (a) Decanol (b) Nonanol (c) Octanol (d) Undecanol H–C–C–C–H The nomeri clature of the above compound is (a) 1,1 – diphenylpropan-1,2-diol (b) 1,1-diphenylpropan-2,3-diol (c) 3,3-diphenylpropan-1,2-dio; (d) 3,3-diphenylpropan-2,3-diol Which of the following statements is not correct? (a) when work is done on a system, wis +ve (b) When there is increase in internal energy of a system, Δu is +ve (c) When heat is absorbed from the surrounding into a system, q is +ve (d) When a given volume of a gas expands, PΔv is – ve. OH The name of the above alcohol is (a) 2 –methyl-3ethylbenzano (b) 5-ethyl-2-methylbenzanol (c) 3 – ethyl-2-methylbenzanol (d) 4-ethyl-1methylbenzano 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. The electronic configuration of an element D is given as: 152 252 2p6 352 3p6 452 3d10 4p6 552 4d10 5p6 6s1 which of the following is not true about D? (a) It is an alkalimetal (b) It is a period 6 element (c) It is the most electropositive element (d) It forms a stable oxide If 1.0kcal of heat is added to 1.2dm3 of oxygen in a cylinder at constant pressure of 1.0-atm, the volume increases to 1.5dm3. Calculate the change in internal energy for then process. (1atm = 1.01 x 105Nm-2, 1cal = 4.184J) (a) -4154J (b) +4154J (c) +4214J (d) – 4214J Who among the following chemists is reffered to as “the father of thermodynamics”? (a) Sadi Carnot (b) Willard Gibbs (c) Rudolf clausius (d) Micheal Firaday What is the name of the above alkano? (a) Heptan-2,5-diol (b) Heptan – 3,5 – diol (c) 2 – methylhetan – 2 5 – diol (d) 2 – methylheptan – 3, 6 – diol Its nomenclature is (a) Butan – 2 – ol – 1 – ene – 3 – yne (b) Butan – 1 – ene – 2 – ol – 3 – yne (c) Butan-1-yne – 3 – ene – 3 – ol (d) Butan – 3 – yne – 1 – ene – 2 – ol The elements on the periodic table with symbols Sb and W are respectively (a) Seaborgium and Tungsten (b) Seabogium and Wolfmium (c) Antimony and Tungsten (d) Antimony and Wolfmium Arrange the above alcohols in order of increasing boiling point (a) I > II > III > IV (b) II > III > I > IV (c) III > IV > II > I (d) III > IV > II > I Which of then following is constantly exothermic? (a) Enthalpy of formation (b) Enthalpy of Solution (c) Enthalpy of neutralization (d) Enthalpy of reaction Which of the following alkalimetals has its trioxocarbonate IV salt to be a thermolabile salt? (a) Lithium (b) Pottasium (c) Caesium (d) Rubidium Which of the following elements are mostly radioactive on the periodic table? (a) Transition elements (b) Actinide elements (c) Lanthanide elements (d) Noble gases Determine the enthalpy change for the reaction: N2 + H2 → NH3, given bond dissociation 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 2 energies N – N = 163kJmol-1 and N – H = 391 KJmol-1 (a) – 875KJ (b) + 875KJ (c) – 474KJ (d) + 474KJ Which of the following hydroxides is the most soluble? (a) Be(OH)2 (b) Ca(OH)2 (c) Sr(OH)2 (d) Ba (OH)2 How many resonance structures has SO42-? (a) four (b) five (c) six (d) eight The correct bond angles for H2), NH3, Co2 and BF3 (a) 104.50, 1070, 1800, 1200 (b) 1200 1070, 1800, 1050, (c) 1070, 1200, 1800, 109.50 (d) 1070, 109.50, 1800, 1200 :N N – From the above Lewis structure, the formal charge of Oxygen is (a) 0 (b) +1 (c) _1 (d) –2 The geometry of Sf4 is (a) Trigonal planar (b) see-saw (c) square pyramidal (d) Tetrahedra Which of the following statements is incorrect about hydrogen bonding? (a) It exists in all hydrogen containing compounds (b) It occurs when hydrogen is bonded to a highly electronegative element (c) It is responsible for the high boiling point of water (d) It exist where we have O-H, N-H, and F-H bonds Which of the following do you expect to be nonpolar (a) H2O (b) NH3 (c) HF (d) CH4 which of the following structure show exception to the OCTET RULE? (a) H2O (b) PCl3 (c) Sf6 (d) CH4 An ionic compound is not likely to have one of this property (a) Higher melting point (b) solubility in water (c) Good electrolyte when dissolved (d) electrical conductor in solid state The molecular shape of PF5 is (a) octahedral (b) Trigonal bipyramidal (c) Irregular tetrahedron (d) Square pyramid. Which of the following species is expected to have tetrahedral electron pair geometry? (a) AsF4 (b) SF4 (c) SiCl4 (d) XeF4. In accordance with VSEPR theory the correct shape of O3 is VSEPR basically states that (a) The repulsion of atomic nuclei helps determine the shapes of covalent molecules. (b) The repulsion between electrons helps determine the shapes of covalent 43. 44. 45. 46. 47. 48. 49. 50. molecules. (c) The repulsion between bonds helps determine the shapes of covalent molecules. (d) The attraction between electron pairs around an atom helps determine the shapes of covalent molecules. One of these statement is not true of aluminium: (a) (a) its oxide is amphoteric (b) It is the least abundant metallic element in the earth crust. (c) It is easily passivated with a layer of oxide film. (d) It can be obtained by the hall process. The most important compound of aluminum and hydrogen used as reducing agent in many organic reactions is (a) LiALH (b) LiALH2 (c) LiALH3 (d) LiALH4. Which of the following statements is not true of the group III elements? (a) The valence configuration is ns2np. (b) Principal oxidation state is +3 (c) Metallic character decreases down the group. (d) The +1 oxidation number is only important down the group. Which of the following is not true of halogen? (a) They rarely form itnerhalogen compounds (b) They form halides with non-metals (c) Electronegativity increases down the group. (d) Each halogen displaces the halogens below it form solution. The order of water solubility of the carbonates of the element is (a) BaCO3 < CaCO3 < MgCO3 <BeCO3 (b) BeCO3 < MgCO3 < CaCO3 < BaCO3 (c) CaCO3 < BaCO3 < BeCO3 < MgCO3 (d) MgCO3 < BeCO3 < BaCO3 < CaCO3. Which of the following statements describe(s) the features of the periodic table? I. Metallic character increases down the group. II. Conductivity of metalloids increase with temperature. (a) I only (b) I and II only (c) I and III only (d) I, II and III 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. Which of these elements will not give an M2O3 on reaction with oxygen? (a) Al (b) Tl (c) B (d) Ga E. None. The main factors that affect ionization energy are: I. The effective nuclear charge 62. 3 II. The number of energy levels III. Shielding of electrons (a) I and II only (b) II and III only (c) I and III only (d) I, II and III In spite of being chemically inert, which one of these noble gases forms an appreciable number of compounds? (a) Helium (b) Argon (c) Neon (d) Xenon. What is the order of stability of these MH3 types of hydrides? (a) NH3 > PH3 > BiH3 (b) NH3 > BiH3 > PH3 (c) PH3 > NH3 > BiH3 (d) BiH3 > PH3 > NNH3. One of these hydroxides is readily converted to oxide on heating. (a) NaOH (b) Al(OH)3 (C) LiOH (d) KOH. The paramagnetism of transition element compounds is due to (a) Paired electrons in the d-orbitatls (c) Shared valence electrons (d) Unshared valence electrons. The least reactive of all the noble gases is (a) Helium (b) Neon (c) Argon (d) Xenon. Which of these have the oxidation state of +3 only? (a) Vanadium (b) Titanium (c) Chromium (d) Scandium. Cobalt is the transition metal of vitamin ______ (a) A (b) B12 (c) D12 (d) C. The metal with the largest atomic radius is (a) Chromium (b) Vanadium (c) Copper (d) Cobalt. The noble gas element which is used to full filaments of lamps is (a) He (b) Ar (c) Ne (d) Kr. Major use of sulphur will include (a) Manufacture of petroleum refining (b) Rubber hardening (c) Making explosives (d) All of the above. If an exothermic reaction result in great disorder, the combined changes in the enthalpy and entropy will lead to (a) Large decrease in free energy (b) Spontaneous reaction (c) Negative ΔH (d) All of the above. In the exothermic reaction, N2(g) + 3H2(g) 2NH3(g) (a) Energy of the reactant is less than the energy of the products. (b) Energy is the reactant of the 63. 64. 65. 66. 67. 68. 69. 70. reaction (c) Reaction vessel becomes cooler (d) None of the above. The heat of combustion of 1g of ethanol used in heating 100g of water at temperature between 70oC and 80oC is (a) -193KJmol-1 (b) -1 +193KJmol (c) +91.14KJmol-1 (d) -1 +93548KJmol . (relative molecular mass of ethanol = 46, heat capacity of water = 4.2Jg-1K-1). When a system dies 56J of work and its internal energy decreases by 84J, the heat absorbed o released is (a) 28J (b) -28J (c) 140J (d) -140J. Which of the following is or are exothermic? I Heat of solution II Heat of combustion III Heat of formation IV Heat of neutralization (a) I (b) II (c) I and II (d) I and IV The energy changes that accompany the ignition of a mixture of hydrogen and oxygen are: (a) Heat and sound (b) Light and heat (c) Sound and light (d) Chemical and kinetic. C (graphite) + O2(g) CO2(g) H r = 393.5KJmol-1 2H2(g) + O2(g) 2H2O(1) H r = -571.6KJmol-1 CH4(g) + 2O2(g) CO2(g) + 2H2O(1) H r = +890.4KJmol-1 Determine the enthalpy of formation of methane C(graphite) + 2H2(g) CH4(g) (a) -74.7KJmol-1 (b) +74.7KJmol-1 (c) -149.4KJmol-1 (d) +149.4KJmol-1 10g of CaC2 are reacted with an excess of water at 20oC and atmospheric pressure. Calculate the work done in expansion against the atmosphere by the ethylene evolved during the reaction. CaC2(s) + 2H2O(1) Ca(OH)2(s) + C2H2(s) (a) -381J (b) +381J (c) -762J (d) +762J If a gas absorbs 1000J of heat and expands by 0.5dm3 against a constant pressure of 2atm, the change in internal energy is approximately (a) -1.101KJ (b) +1.101KJ (c) -0.899KJ (d) -0.899KJ The influence of entropy on a process is given by (a) The first law of thermodynamics (b) The second law of thermodynamics (c) Law of constant heat summation (d) Born-Haber cycle. 71. 72. 73. 74. 75. 76. 77. 4 For a system with positive S and positive H . It can only be spontaneous at (a) All temperature (b) High temperature (c) Low temperature (d) It can never be spontaneous. With respect to 1st law of thermodynamics, which is (a) ΔU = Q + PΔV (b) ΔU + PΔV (c) PV ΔU = (d) None of the above. Q Find the heat of combustion of 0.68g of ethanol used in heating 100g of water from 240k to 350k. (Specific heat capacity of water is 4.2Jg-1K-1). (a) 4618KJ (b) 3261KJ z(c) 3125KJ (d) 4168KJ. Considering this reaction vessel 2NH3(g) N2(g) + 3H2(g) H = +92.4KJ (a) Energy is absorbed by system (b) Reaction vessel will become hotter (c) The reaction is endothermic (d) Energy of the product is more. If 1.0kcal of heat is added to 1.2dm3 of oxygen in a cylinder at constant pressure of 1.0am the volume increases to 1.5dm3. The change in internal energy for the process [1atm = 1.01 x 105Nm-2, 1cal = 4.184J] (a) -4214.3J (b) +4214.3J (c) -4153.7J (d) +4153.7J Calculate the standard enthalpy change for the reaction: 2Al + Fe2O3 2Fe + Al2O3 3 2Al + O2 Al2O3 H r = -1601KJmol-1 2 3 2Fe + O2 Fe2O3 H r = -821KJmol-1 2 (a) +980KJmol-1 (b) -980KJmol-1 (c) -1 -1 2422KJmol (d) +2422KJmol A 44.0g sample of an unknown metal at 99.0oC was placed in a constant pressures calorimeter containing 80.0g of water at 24oC. The final temperature of the system was found to be 28.4oC. calculate the specific heat capacity of the metal is [The heat capacity of the calorimeter is 12.4JoC1 ] (a) 0.493Jg-10C-1 (b) 0.517Jg-10C-1 (c) 0.619Jg10 -1 C (d) 0.725Jg-10C-1. 78. 79. 80. 81. 82. 83. 84. 85. 86. 87. odium benzoate is a preservative in many drinks, it is (a) An ester (b) Salt of a mineral acid (c) Soap (d) Soluble in water. Give the name of the compound below? O || CH3 – CH – CH2 – C – OCH3 | CH3 (a) Methoxy–3–methylbutanoate (b) Methyl–3– methylbutanoate (c) Methyl–2-methylbutanoate (d) Methyoxy-2-methylbutanoate. Suggest the name for the ether below? CH3CH2 – O – CH3 (a) Methyloxyethane (b) Methylethylether (c) Ethylmethylether (d) Methylethoxide. In the synthesis of an ester, which of the following compound is not required? (a) Propanoylchloride (b) Ethanol (c) Sulphoric acid (d) NaOH. When ethanol reacts with ammoniacal silver nitrate to give silver mirror, ethanol has undergone. (a) Reduction (b) Hydrolysis 9c) Oxidation (d) Epoxidation. Give the name of the compound below? 88. 89. 90. 91. (a) 1-methylcyclopentane alcohol (b) 2-hydroxyl-1-cyclohexane (c) 1-methyl-2-hydroxylcyclopentane (d) 2-methylcyclopentanol Which pair do not match? (a) CH3 COOCH2CH2CH3 and pear (b) Amino acid and protein (c) Sodium-salt of long chain fatty acid and soap (d) Ketone and H-bonding. Ketone can be oxidized by K2Cr2O7/H+ oxidation of. (a) Primary alcohol (b) Carboxylic acid (9c) Secondary alcohol (d) Ester. Give the product in the reaction below? CH 3 C N H 2O HCl ? (a) CH3CH2OH (b) CH3CH2Cl (c) CH3COOH (d) CH3CH2NH2. Give the IUPAC name of the compound? 92. 93. 94. 5 OH O | || CH3 – C – CH2 – C – OH | H (a) 2-hydroxylpropanoic acid (b) 3-hydroxylbutanoic acid (c) 2-hydroxylbutanoic acid (d) Ethan-2-ol-2-ethanoic acid Organic compounds obtained from living organisms are? (a) Easy to purify (b) High melting (c) Difficult to purify (d) Made up of only carbon, hydrogen and oxygen. Which of the following cannot be an indicator for purify of liquid organic compound? (a) Crystallinity (b) Boiling point (c) Colour (d) Smell. Aldehydes have higher boiling point than the following of similar mass? (a) Alkane and carboxylic acid (b) Ether and alcohol (c) Carboxylic acid and ketones (d) Ether and alkane Give the name of the compound below? O || CH3 – CH – CH2 – C – OCH3 | CH3 (a) 2-methylbutanol (b) 2-methylpentan-4-oL (c) 4-methylpentan-2-oL (d) Sec-butylmethylketone Synthetic polymers cannot be made by? (a) Chain growth (b) Addition reaction (c) Condensation reaction (d) Saponification reaction. Which of the following doesn’t belong? (a) Polyethene (b) D-Glucose (c) Protein (d) Cotton Common amino acid have only one of the following listed functional groups? (a) Acid chloride (b) Acid anhydride (c) Carboxyamide (d) Amine. 95. 96. 97. Carbon has the ability to form long chains called? (a) Catenation (b) Hybridisation (c) Covalent bond (d) multiple bonding. ? CH3CH2COOH CH3CH2COOH (a) KMnO4 (b) AlCl3 (c) P2O5 9d) K2Cr2O7 What is the name of the compound below? 105. In which of the following groups would you find the most powerful reducing elements? (a) Lithium group (b) beryllium group (c) Boron group (d) Fluorine 106. Which of these statements is incorrect about diamond? (a) It is the hardest substance known (b) It us an electrically insulating solid (c) it is a rigid transparent material (d) used as lead in pencil 107. Which of these statements are true of periodic table? I. metallic character decreases from left to right II. Metallic character increases down the group III. Low electrical conductivities are associated with metalloids (a) I & II only (b) II & III only (c) I & III only (d) I, II & III O || CH3 – CH – CH2 – C – OCH3 | CH3 (a) Phenycarbonyl (b) Benzaldehyde (c) Benzene carbonyl (d) Benzeneformaldehyde. 98. The name of the above compound is (a) Phenyl-3-methylbenzoate (b) 3-phenyl-1-methylbenzoate (c) 1-methyl-3-phenylbenzoate (d) 3-methyl-phenylbenzoate 99. When a butter becomes rancid, the acid present is (a) Benzoic acid (b) Butanoic acid (c) Cyclohexanoic acid (d) Acetic acid 100. Which of the following esters cannot be formed from pentanoic acid? (a) Ethylpropanoate (b) Methylbutanoate (c) Butylethanoate (d) Propylethanoate 101. Which of these statements is tree of nitrogen group elements? (a) They are mostly metalloids (b) They are mostly non-metals (c) They are highly electronegative elements (d) metallic character is pronounced only at the bottom of the group. 102. The order of acid strength of oxoacids of chlorine is: (a) HCLO4 >HCIO3 >HCIO (b) HCLO4 > HCIO > HCIO3 (c) HCIO3 > HCIO HCLO4 > (d) HCIO3 > HCLO4 >HCIO 103. Which of these factors affect ionization energy of a gaseous atom? I. Nuclear charge II. Number of energy levels III. Electron Shielding (a) I & III only (b) II & III only (c) I, II & III (a) I & II only 108. The least thermally stable carbonates in the listed compounds is: (a) Be (b) Mg (c) Ca (d) Sr 109. Which of these statements are true of tungsten carbide? I. it is a typical covalent carbide II. It is a typical interstitial carbide III. The carbon atoms occupy the gaps between tungsten metal (a) I & II only (b) I & III only (c) II & Iii only (d) I & III 110. Which of these smelting processes is referred to as hall Process? (a) 2Ga2O3 +3C 4Ga + 3CO2 (b) 2Fe2O3 + 3C 4Fe + 3CO2 (c) 2Al2O3 + 3C 4Al + 3CO2 (d) 2B2O3 + 3C 4Be + 3CO2 111. The least stable of these tetrachlorides is …….. (a) CCl4 (b) SnCl4 (c) SiCl4 (d) PbCl4 112. Which of these is true of the flat planes of carbon atoms in graphite? (a) the atoms are in heptagonal network (b) The atoms are in hexagonal network (c) the atoms are in trigonal network (d) The atoms are in octahedral network 113. One ofthese statements is incorrect about nitrogen: (a) Has maximum coordination number of 4 (b) Exhibit expanded octet (c) Forms 104. One of these noble elements forms a significant number of chloride compounds: (a) Argon (b) neon (c) Xenon (d) Krypton 6 114. 115. 116. 117. penetahalides (d) oxidation number varies from – 3 to + 5 in most compounds A gaseous container contains 34g of ammonia, 32g of sulphur IV oxide and 64g of methane. If the total pressure exerted is 3.2 atm. The partial pressure of ammonia is (a0 1.0 atm (b) 1.2 atm (c) 1.8 atm (d) 2.4 atm If 200cm3 of methane diffuse through a porous plug in 40secs. What volume of sulphur IV oxide gas will diffuse through the same plug for 1min? [S = 32, C = 12, H = 1, O = 16] (a) 100cm3 (b) 120cm3 (c) 150cm3 (d) 180cm3 If the volume of a given mass of a gas is increased by a multiple of four and the pressure is halved. If the initial temperature is 170C. The new temperature is (a) 3070C (b) 5800C (c) 4050C (d) 4930C Which of the following structures can be predicted with using the Valence Shell Electron pair Repulsion theory? (a) NO3- 9b0 NO2- 9c) CO32- (d) SO42118. Which of these pairs of oxides is amphoteric I nature? (a) They are naturally hard metals (b) They have low enthalpies of fusion (c) they have low densities (d) They have low melting and boiling points 119. The reaction: LiH + H2O LiOH + H2 may be exploited for: (a) Lithium hydroxide production (b) Hydrogen production (c) drying organic solvent (d) carrying out all of the above 120. Which of the following statements is not true of the group III elements? (a) The valence configuration is ns2np1 (b) The principal oxidation state is +3 (c) The +1 oxidation state is only important down the group (d) Metallic character decreases down the group 7 PHS 1. What effect does an isotropic homogenous medium have on Coulomb’s law for charges embedded in it? (a) Reduces the force between the charges (b) increases the force between the charges (c) the force between the charges remains the same (d) none 2. How many electrons are contained in -1 C of charge? What is the total mass of these electrons? (a) 5.9 x 10-12kg (b) 7.6 x 10-12kg (c) 9.8 x -12 -12 10 kg (d) 5.6 x 10 kg 3. The uranium nucleus contains a charge 92 times that of the proton. If a proton is shot at the nucleus, how large a repulsive force does the proton experience due to the nucleus when it is 1 x 10-11 m from the nucleus center? The nuclei of atoms are of order 10-14 m in diameter, so the nucleus can be considered a point charge. (a) 3.1 x 10-4N (b) 2.1 x 10-4N (c) 5.5 x 10-4N (d) 8.0 x 10-4N 8. 9. 102 Four beats per second are heard when two tuning forks are sounded simultaneously. After attaching a small piece of tape to one prong of the second tuning fork, the two tuning forks are sounded again and two beats per second are heard. If the first fork has a frequency of 180 Hz, what must the original frequency of the second fork have been? (a) 184HZ (b)300Hz (c)450Hz (d)421Hz Four equal point charges, +3 μC, are placed at the four corners of a square that is 40 cm on a side. Find the force on any one of the charges. (a) 0.97N (b)0.12N (c) 0.43N (d)0.65N Use the information below to answer Questions 10 and 11. A charge, 6 μC, experiences a force of 2 mN in the +x direction at a certain point in space. 10. Use the information below to answer Questions 4 and 5. Two point charges Q1 and Q2 are 3 m apart, and their combined charge is 20 μC. 4. If one repels the other with a force of 0.075 N, what are the two charges? (a)13, 7 µc (b) 10, 10 µc (c) 15, 5 µc (d) 5,15µc. 5. If one attracts the other with a force of 0.525 N, what are the magnitudes of the charges? (a) -35 and 15µc (b)-15, 35 µc (c)-15, 35 µc (d) -30, 10 µc 6. A test charge Q = +2 μC is placed halfway between a charge Q1 = +6 μC and a charge Q2 = +4 μC, which are 10 cm apart. Find the force on the test charge and its direction. (a) 28 away from Q1 (b) 10 away from Q1 (c) 14.4 away from Q1 (d) 2.3 away from Q1 7. Three +20 μC charge are placed along a straight line, successive charges being 2 m apart as shown below (fig1). Calculate the force on the charge on the right end. 11. 12. 13. 14. (a) 1.125 to the left (b) 1.125 to the right (c) 0 (d) 0.875 to the right 8 What was electric field there before the charge was placed there? (a) 334.N/C (b) 333N/C (c) 336N/C (d) 338N/C Describe the force a -2 μC charge would experience if it were used in place of the +6 μC. (a) 0.68mN (b) 1.65mN (c) 7.6mN (d) 0.12mN An electron is shot at 106 m/s between two parallel charged plates, as shown (fig2). If E between the plates is 1 kN/C, where will the electron strike the upper plate? Assume vacuum conditions. (a) 0.6cm (b) 0.43cm (c) 0.75cm (d) 0.65cm An oil drop carries six electronic charges, has a mass of 1.6 x 10-12 g, and falls with a terminal velocity in air. What magnitude of vertical electric field is required to make the drop move upward with the same speed as it was formerly moving downward? (a) 32.7KN/C (b)6.67 KN/C (c)5.8 KN/C (d)76.3 KN/C What is the potential at the point midway between charges of +2 and +5 μC which are 6 m apart? (a) 30 KV (b) 21KV (c) 60 KV (d)10 KV 15. 16. Three charges are placed at three corners of a square as shown (fig3). Find the potential at point A. (a) 400V(b)254V (c)120V (d) 233V A proton (q = e, m = 1.67 x 10-27 kg) is accelerated from rest through a potential difference of 1 MV. What is its final speed? (a) 34 x 106m/s (b) 18 x 106m/s (c) 14 x 106m/s (d) 17 x 106m/s additional charge will flow onto the capacitor from the 500 V source? (a) 35nc (b)54 nc (c)20 nc (d)60 nc Use the information below to answer Questions 24 and 25. A current of 7.5 A is maintained in a wire for 45 s. In this time. 24. Use the information below to answer Questions 17 and 18. 25. Two metal plates are attached to the two terminals of a 1.50 V battery. How much work is required to carry a +5 μC charge. 17. From the negative to the positive plate. (a) 4.5 µJ (b) 6.2 µJ (c) 7.1 µJ (d) 7.5µJ 18. From the positive to the negative plate? (a) -7.5µJ (b) -5.7 µJ (c) 3.6 µJ (d) -3.6 µJ 19. The potential difference between the two plates in Fig4. below is 100 V. If the system is in vacuum, what will be the speed of a proton released from plate B just before it hits plate A? (a) 100 km/s (b) 160 km/s (c)200 km/s (d) 140km/s 20. How much charge is stored in a capacitor consisting of two concentric spheres of radii 30 and 31 cm if the potential difference is 500 V? assume K = 1 of air. (a) 345 nC (b) 517nC (c)453 nC (d)679 nC 26. How much charge flow through the wire? (a) 23.55C(b)233,78C (c) 337.5C (d)324.2C How many electrons flow through the wire? (a) 4.6x 1021 (b) 2.1x 1021 (c) 6x 1021 (d) 7.2x 1021 A copper wire of 3.0 cm2 cross-sectional area carries a current of 5.0 A. Find the magnitude of the drift velocity for the electrons in the wire. (a) 0.22 mm/s (b) 0.54 mm/s (c) 0.12mm/s (d)0.15 mm/s Use the information below to answer Questions 27 and 28. The three resistors in Fig5 below are R1 = 25 Ω, R2 = 50 Ω and R3 = 100 Ω. 27. 28. Use the information below to answer Questions 21, 22 and 23. What is the total resistance of the circuit? (a) 10.3 Ω (b)53 Ω (c)69 Ω (d) 58.3Ω What are the current I1, I2 and I3 for a 12-V battery? (a) 0.301A, 0.112A, 0.0345A (b) 0.310A, 0.213A, 0.034A (c) 0.206A, 0.137A, 0.0685A (d) 0.43A, 0.23A,0.11A A certain parallel-plate capacitor consists of two plates, each with area 200 cm2, separated by a 0.4 cm air gap. 21. 22. 23. Use the information below to answer Questions 29 and 30. Compute its capacitance. (a) 44pF (b)54 pF (c)76 pF (d)23 pF If the capacitor is connected across a 500 V source, what is the value of E between the plates? (a) 129 KV/m (b) 67 KV/m (c) 324 KV/m (d)125KV/m If a liquid with K = 2.60 is poured between the plates so as to fill the air gap, how much The circuit in Fig6 below has a current of 0.5 A when R is 10 Ω and a current of 0.27 A when R is 20 4. Find 29. 9 The internal resistance r. (b) 1.2 Ω (b)3.2 Ω (c) 1.76 Ω (d) 1.1 Ω 30. The emf E of the battery. (a) 5.88v (b) 4.332v (c) 6.12v (d) 2.89v 31. A current flowing through a divalent copperplating bath and a silver-plating bath in series deposits 0.400 g of copper in 10 min. How much silver is deposited? Atomic weights are 108 and 63.54 for silver and copper, respectively. (a) 1.5g(b)1.8g (c)1.47g (d) 1.36g 32. An ammeter reads 0.90 A when connected in series with a silver-plating bath that deposits 2.60 g of silver in 39 min. By what percentage is the ammeter reading incorrect? (Atomic weight of silver = 108). (a) 10.1%(b)8.5% (c) 9.3% (d) 1% 33. In a certain electronic device, a 10 μF capacitor is charged to 2000 V. when the device is shut off, the capacitor is discharged for safety reasons by a so called bleeder resistor of 1MΩ placed across its terminals. How long does it take for the charge on the capacitor to decrease to 0.01s of its original value (a) 42s(b) 46s (c)58s (d)55s 34. When the device is shut off, the capacitor is discharged for safety reasons by a so-called bleeder resistor of 1 MΩ placed across its terminals. (a) 10.8ms(b) 10.2ms(c)10.5ms (d)10.1ms 35. A He2+ ion travels at right angles to a magnetic field of 0.80 T with a velocity of 105 m/s. Find the magnitude of the magnetic force on the ion. (a) 3.23 x 10-14N (b) 2.15 x 10-14N (c) 2.56 x 1014 N (d) 7.00 x 10-14N Use the following information to answer questions 36 and 37 An electron is moving with a speed of 5 x 107 m/s at right angle to a magnetic field of 5000 G. 36. What is the magnetic force on the electron? (a) 6 x 10-12N (b) 4 x 10-12N (c) 7 x 10-12N (d) 8 x 10-12N 38. What is the force on a singly charged carbon ion moving with a speed of 3 x 105 m/s at right angles to a magnetic field to 7500 G? (a) 3.6 x 10-14N (b) 8.9 x 10-14N (c) 6,3 x 10-14N (d) 9.8 x 10-14N 39. What is the centripetal acceleration of the ion? (a) 4.88 x 1012m/s2 (b) 1.81 x 1012m/s2 (c) 2.54 x 1012m/s2 (d) 6.32 x 1012m/s2 40. What is the radius of the circle in which the ion moves? (a) 49.7mm (b)34.21mm (c)56.98mm (d)73.1mm 41. Alpha particles (m = 6.68 x 10-27 kg, q = +2e), accelerated through a potential difference V to 2 keV, enter a magnetic field B = 0.2 T perpendicular to their direction of motion. Calculate the radius of their path. (a) 16mm (b) 32mm (c)21mm (d)43mm 42. A charge q = 40 μC moves with instantaneous velocity u = (5 x 104)j m/s through the uniform fields E= 6 x 104 (0.52i + 0.56j +0.645k)V/m B= 1.7(0.693i +0.6j +0.4k) T. find the magnitude of the instantaneous force on q (a)1.09N(b)0.78N(c)2.76N(d)3.04N 43. A rectangular loop 6 cm high and 2 cm wide is placed in a magnetic field of 0.02 T. If the loop contains 200 turns and carries a current of 50 mA, what is the torque on it? Assume that the face of the loop is parallel to the field. (a) 4.1 x 10-4 Nm (b) 4.6 x 10-4 Nm (c) 2.4 x 10-4 Nm(d) 6.1 x 10-4 Nm 44. A circular coil of radius 40 mm consists of 250 turns of wire in which the current is 20 mA. What is the magnetic field in the center of the coil? (a) 37.3 µT(b)36.1 µT (c)54.2 µT (d)10.9 µT Use the information below to answer Questions 45 and 46. 37. What is the radius of the circle in which the electron moves? (a) 0.42mm(b) 0.57mm (c)0.89mm (d)0.65mm The fig7 shows two long parallel wires separated by a distance of 180 mm. There is a current of 8 A in wire 1 and a current of 12 A in wire 2. Relate the information for 38, 39 and 40 to answer 38, 39 and 40 10 45. 46. 47. 48. 49. 50. Find the total magnetic field at the point A, which is on the line joining the wire and 30 mm from wire 1 and 150 mm from wire 2. (a) 10.6 µT (b)65.2 µT (c) 37.3µT (d)34.4 µT At what point on the line joining the wires is the magnetic field zero? (a) 78mm(b) 72mm (c)60mm (d)45mm In the Bohr-model hydrogen atom the single electron orbits the nucleus in a circle of radius a = 5.3 x 10-11 m, making f 6.6 x 1015 revolutions each second. Estimate the magnetic field at the nucleus. (a) 32T(b) 20T(c)15T (d) 13T An axle of a truck is 2.4 m long. If the truck is moving due north at 30 m/s at a place where the vertical component of the earth’s magnetic field is 90 μT, what is the potential difference between the two ends of the axle. (a) 6.48mV (b)5.89mV (c)6.13mV (d)5.98mV A magnetic field B is perpendicular to the 7.0 cm2 area of a 50 loop coil. The ends of the essentially resistanceless coil are connected across a 30 Ω resistor. Find the current through the resistor if B = 75e-200t G, where t is measured in seconds. (a) 2.34 exp {-200t} mA (b) 1.75 exp {-200t} mA (c) 4.89 exp {-200t} mA (d) 3.56 exp {-200t} mA How much charge will flow through a 200 Ω galvanometer connected to a 400 Ω circular coil of 1000 turns wound on a wooden stick 20 mm in diameter, if a magnetic field B = 0.0113 T parallel to the axis of the stick is decreased suddenly to zero? (a)3.5 µC (b)6.2 µC (c)9.2 µC (d)+5.9µC 11 PHS 101 1. A mass m suspended from a spring of constant k has a period T. If a mass M is added, the period becomes 3T. Find M in terms of m. (a) 3m (b) 8m (c)7m (d)10m Use the information below to answer Questions 2, 3 and 4. A spring-mass oscillator has a total energy E0 and an amplitude x0. 7. How large will K(KE) and U(PE) be 1 for it when x = x0 ? 2 E0 4 E0 (a) (b) and 2 4 E0 9 E0 (c) and 5 4 E0 3E (d) and 0 4 4 3E 0 7 E0 and 7 4 8. For what value of x will K = U? (a) x0 2 (b) x0 3 (c) x0 A ball moves in a circular path of 0.15 m diameter with a constant angular speed of 20 rev/min. Its shadow performs simple harmonic motion on the wall behind it. Find the acceleration and speed of the shadow. 2. 3. 4. At a turning point of the motion. (a) 0.329m/s,1.229m/s2 (b)0, 2 0.349m/s (c) 0.543m/s, 0.559m/s2 (d)0, 0.329m/s2 At the equilibrium position. (a) 0.and 0.188m/s (b) 0.and 0.157m/s (c) 0.and 0.177m/s (d) 1.and 2.167m/s At a point 6 cm from the equilibrium position. (a) 0.263 and 0.0942 (b) 0.234, 0.054 (c) 0.345, 0.345 (d) 9. Use the information below to answer Questions 5 and 6. A particle attached to a spring undergoes SHM. The maximum acceleration of the particle is 18 m/s2 and the maximum speed is 3 m/s. find 5. 6. 10. The frequency of the particle’s motion. (a) 2.11Hz (b) 0.34Hz (c) 1.54Hz (d) 0.95HZ The amplitude. (a) 0.5m (b)0.7m (c) 1.4m (d) 5.7m 11. Use the information below to answer Questions 7 and 8 12 4 (d) x0 5 The energy of recoil of a rocket launcher of mass m = 4536 kg is absorbed in a recoil spring. At the end of the recoil, a damping dashpot engages so that the launcher returns to the firing position without any oscillation (critical damping). The launcher recoils 3 m with an initial speed of 10 m/s. Find the recoil spring constant (k). (a) 50.4AkN/m (b) 44.3AkN/m (c) 32.1AkN/m (d) 30.2A kN/m A 3 1b weight hangs at the end of a spring which has k = 25 1b/ft. If the weight is displaced slightly and released, with what frequency will it vibrate? (a) 3.33Hz (b) 2.61 Hz (c) 3.77Hz (d) 1.43Hz If the bulk modulus of water is 2100 MPa, what is the speed of sound in water. (a) 345m/s (b) 135m/s (c) 1450m/s (d)150m/s 12. A certain 120 Hz wave on a string has an amplitude of 0.160 mm. How much energy exists in an 80 g length of the string? Assume that one wavelength of the string has mass far smaller than 80 g. (a) 0.45mJ (b) 0.58mJ (c)1.67mJ (d)2.12mJ 13. Sources separated by 20 m vibrate according to the equations (m) y1 = 0.66 sin t (m) y2 = 0.02 sin t They send out waves along a rod of speed 3 m/s. What is the equation of motion of a particle 12 m from the first source and 8 m from the second? (a) y = 0.066sinπt – 0.0123 cos πt (b) y = 0.099sinπt – 0.0178 cos πt (c) y = 0.088sinπt – 0.0290 cos πt (d) y = 0.05sinπt – 0.0173 cos πt 14. The third overtone produced by a vibrating string 2 m long is 1200 Hz. What is the velocity of propagation? (a) 1200m/s (b) 3500m/s (c)2300m/s (d)4400m/s Use the information below to answer Questions 15, 16 and 17. 19. 20. 21. A 160 cm long string has to adjacent resonances at frequencies of 85 and 102 Hz. 15. 16. 17. 18. a frequency of 480 Hz. What is the mass per unit length of the string? (a) 1.91 x 10-5kg/m (b) 1.93 x 106 kg/m (c) 1.54 x 10-5kg/m (d) 1.77x 10-5kg/m Sound waves of frequency 320 Hz are sent into the top of a vertical tube containing water at a level that can be adjusted. If standing waves are produced at two successive water levels -20 cm and 73 cm-what is the speed of the sound waves in the air of the tube? (a) 338m/s (b) 339m/s (c)342m/s (d) 340m/s What is the speed of sound in air when the temperature is 35 oC? The speed of sound in air at 0 oC is 331 m/s. (a) 451.5m/s (b) 731.7m/s (c) 351.6m/s (d)341.8m/s Two closed organ pipes sounded simultaneously give five beats per second between the fundamentals. If the shorter pipe is 1.1 m long, find the length L of the longer pipe. Assume that v in air = 340 m/s. (a) 3.21m (b) 1.18m (c)0.08m (d)1.14m Use the information below to answer Questions 22 and 23. What is the fundamental frequency of the string? (a) 17Hz (b) 27Hz (c) 37Hz(d)40Hz What is the length of a segment at the 85 Hz resonance? (a) 32cm (b) 55cm (c) 98cm (d) 31cm What is the speed of the waves on the string? (a) 60m/s (b) 31.2m/s (c) 45.7m/s (d) 54.4m/s A vertically suspended 200 cm length of string is given a tension equal to the weight of an 800 g mass. The string is found to resonate in three segments to A hawk is flying directly away from a birdwatcher and directly toward a distant cliff at a speed of 15 m/s. The hawk produces a shrill cry whose frequency is 800 Hz. 22. 23. 13 What is the frequency in the sound that the birdwatcher hears directly from the bird. (a) 667Hz (b) 896Hz (c)887Hz (d) 766Hz What is the frequency that the birdwatcher hears in the echo that is reflected from the cliff? (a) 837Hz (b) 987Hz (c) 937Hz (d) 890Hz 29. Use the information below to answer Questions 24 and 25. 30. As shown in Fig1 below, an observer P is standing between two parallel trains tracks when two trains approach from opposite directions. Locomotive A has a speed |vA| = 15 m/s. It toots its whistle, which has a frequency v0 = 200 Hz. Locomotive B has a speed |vB| = 30 m/s. The speed of sound in the air is 340 m/s, and no breeze is blowing. 24. 25. 31. Find the wavelength 1 and frequency v1 of the sound waves observer P receives from locomotive A. (a) 209Hz (b) 309Hz (c) 409Hz (d) 609Hz What frequency v2 is heard by the engineer on locomotive B? (a) 218Hz (b) 387Hz (c) 228Hz (d) 438Hz 32. 33. Relate Questions 26 and 27. 26. 27. 28. What is the intensity of 60 dB sound? (a) 1µW/m2 (b) 3µW/m1 (c) 1µW/m4 (d) 2µW/m2 If the sound level is 60 dB close to a speaker that has an area of 120 cm2, what is the acoustic power output of the speaker? (a) 10nW (b) 55nW (c) 12nW (d)23nW Assume that the average sound level in a certain room due to one person speaking is 40 dB. What will be the sound level when 20 people are speaking? Although it is not correct to do so, assumed each of the 20 people speaks at the same level as did the single person. (a) 89dB (b) 65dB(c) 77dB (d) 53dB Light passes from air into a liquid and is deviated 19o when the angle of incidence is 52o. What is the index of refraction of the liquid? (a) 2.34 (b) 1.50 (c) 1.45 (d) 1.44 At what angle of incidence should a beam of light strike the surface of a still pond if the angle between the reflected ray and the refracted ray is to be 900 ? (n=1.33 for water) (a) 530 (b) 450 (c) 650 (d)550 The index of refraction of a flint glass is 1.64. Find the critical angle of incidence for a glass-water interface, if light is incident from water at an angle of 44o. (a) 54.40 (b) 35.80 (c)44.30 (d)66.70 When a fish looks up at the surface of a perfectly smooth lake, the surface appears dark except inside a circular area directly above it. Calculate the angle that this illuminated region subtends. (a) 68.40 (b) 97.20 (c) 99.30 (d) 100.60 A ray of light is incident on the left vertical face of a glass cube of refractive index n2, as shown in below. The plane of incidence is the plane of the page, and the cube is surrounded by liquid (n1). What is the largest angle of incidence 1 for which total internal inflection occurs at the top surface? (a) 34. 35. 14 A beam of sodium light passes from air into water and then into flint glass, all with parallel surfaces. If the angle of incidence in the air is 45o, what is the angle of refraction in the glass? (a)320 (b)380 (c)290 (d) 260 (n = 1.333 and 1.63 for water and flint glass, respectively). A layer of benzene (index of refraction = 1.50) floats on water. If the angle of incidence of the light entering the benzene from air is 60o, what is the angle the light makes with the vertical in the benzene and in the water? (a) 410 (b)350 (c)600 (d) 530 (a) 55.50 (b) 43.70 (c) 35.50 (d) 65.40 41. The angle of deviation. (a) 65.50 (b) 35.50 (c) 33.40 (d) 76.50 Use the information below to answer Questions 42 and 43. Use the information below to answer Questions 36, 37 and 38. A beam of light is passing through air to oil to water. A prism having an apex angle 4o ad refractive index 1.50 is located in front of a vertical plane mirror as shown below. A horizontal ray of light is incident on the prism. 36. 42. 37. 38. 39. If the angle of incidence in the air is 40o, find the angle of refraction in the water. The index of refraction for the oil is 1.45. (a)0 (b)does not exist (c) 28.90 (d)40.5 If possible, find the angle of incidence in air such that the beam will not enter the water. (a)28.90 (b)0 (c) impossible (d)40.50 Suppose that the direction of the beam is reversed. If possible, find the angle of incidence in water so that the beam will not enter the air. (a) 100 (b)does not exist (c) 48.60 (d)52.60 Light enters a glass prism having a refracting angle of 60o. If the angle of incidence is 30o (incident ray is parallel to base) and the index of refraction of the glass is 1.50, what is the angle the ray leaving the prism makes with the normal? (a) 660 (b) 770 (c) 830 (d) 470 43. 44. 45. Use the information below to answer Questions 40 and 41. 46. A ray of light is incident at 30o on a prism with apex angle A = 55o and index of refraction 1.50. Calculate 40. The angles the ray makes with the sides of the prism. 15 What is the angle of incidence at the mirror? (a) 20 (b) 40 (c)60 (d)70 Through what total angle is the ray deviated? (a) -1780 (b) 980 (c) -2210 (d)1780 A plastic hemisphere has a radius of curvature of 8 cm and an index of refraction of 1.6. On the axis halfway between the plane surface and the spherical one (4 cm from each) is a small flaw. How far from the surface does the flaw appear to be when viewed along the axis of the spherical surface? (a) -2.52cm (b) -3.25cm (c) 3.25cm (d) 3.44cm A plastic hemisphere (radius = R, n = 1.42) is sealed to the end of a long cylinder of the same material, as shown in fig2. A narrow beam of parallel light is sent through the system from left to right. How far from its point of entry is the beam brought to focus? (a) 3.34R(b) 4.44R (c) 2.66R (d) 3.38R Two mirrors, each 1.6 m long, are facing each other. The distance between the mirrors is 20 cm. A light ray is incident on one end of one of the mirrors at an angle of incidence of 30o. How many times is the ray reflected before it reaches the other end? (a) 14 (b) 0.19 (c)20 (d)18 Use the information below to answer Questions 47 and 48. In fig3 below, a ray of light is incident at 50o on the middle of one of a pair of mirrors arranged at 60o to each other. 47. 48. 49. 50. 51. 52. 53. 54. Calculate the angle at which the ray is incident on the second mirror. (a) 10 (b)20 (c)30 (d)40 Calculate the angle at which the ray is incident on the first mirror after being reflected from the second mirror. (a) 50 (b) 60(c) 80(d)70 Two plane mirrors are parallel to each other and spaced 20 cm apart. A luminous point is placed between them and 5 cm from one mirror. Determine the distance from each mirror of the three nearest images in each. (b) 10, 15, 20cm (b)5,10,15cm (c)4,8, and 12cm (d) 15, 25 and 55cm A concave mirror has radius of curvature of 0.80 m. Where does this mirror bring sunlight to a focus? (a)1.6cm (b)1.65cm (c) 0.40cm (d) 0.6cm It is desired to cast the image of a lamp, magnified 5 times, upon a wall 12 ft distant from the lamp. What kind of spherical mirror is required and what is its position? (a)concave -5ft (b) convex, -5ft (c) concave, 5ft (d) convex, 5ft An amateur lens grinder wants to grind a converging lens of crown glass (n = 1.52) with the same curvature on both sides and a focal length of 25 cm. What radius of curvature must he grind on each face? (a)12cm (b) 26cm (c)20cm (d) 15cm An object 6 cm high is placed 40 cm from a thin converging lens of 8 cm 55. 56. 16 focal length. A second converging lens of 12 cm focal length is placed 20 cm from the first lens. Find the position, size, and character of the final image. (a) 10cm, virtual, erect (b) 60cm virtual, inverted (c)60cm, virtual, erect (d)60cm, real, inverted A convex lens of focal length 12 cm is placed in contact with a plane mirror. If an object is placed 20 cm from the lens, where is the final image formed? (a) 8.6cm, left of the lens (b) 10.6cm,left of the lens (c)10.6cm to the right (d) 8.6cm to right of the lens. Laser light (630 nm) incident on a pair of slits produces an interference pattern in which the bright fringes are separated by 8.3 mm. A second light produces an interference pattern in which the bright fringes are separated by 7.6 mm. What is the wavelength of this second light? (a) 676nm (b) 557nm (c)887nm (d) 563nm The rest masses of the proton, neutron, and deuteron are mp = 1.67261 x 10-27 kg mn = 1.67492 x 10-27 kg md = 3.34357 x 10-27 kg The deuteron (the nucleus of heavy hydrogen) consists of a proton and a neutron. How much energy should be liberated in the formation of a deuteron from a free proton and free neutron, initially at rest “at infinity”? 57. (a) 2.22MeV (b)1.65eV (c) 1.34e V(d) 4.88eV Find the energy of the photons in a beam whose wavelength is 526 nm, (a) 2.36eV (b)0.98eV (c)`1.43eV (d) 2.66eV Use the information below to answer Questions 58, 59 and 60. A surface has light of wavelength 1 = 550 nm incident on it, causing the ejection of photoelectrons for which the stopping potential is Vs1 = 0.19 V. Suppose that radiation of wavelength 2 = 190 nm were incident on the surface. Calculate 58. 59. 60. The stopping potential Vs2. (a) 4.47v (b) 4.50v (c) 5.00v (d)5.98v The work function of the surface (a) 2.09eV (b) 2.07eV (c) 3.13eV(d)1.25eV The threshold frequency for the surface. (a) 222THz (b) 555THz (c) 498THz (d) 431THz 17