Blue print for sample paper 2 UNITS VSA SA1 SA2 2(1) - Electrostatics 1(1) Current electricity Magnetic effect of current and magnetism E.M.I and A.C 1(1) E.M.W 1(1) 2(1) Optics 1(1) 2(1) Dual nature of matter Atoms and nuclei Electronics 1(1) Communication system Total 1(1) 4(2) 1(1) 1(1) Total 5(1) 8(3) 7(3) 3(1) 8(3) 4(1) 8(4) 3(2) 6(2) 5(1) 14(5) 3(1) 4(2) 3(1) 6(3) 2(1) 8(8) LA 6(2) 3(1) 2(1) Value based question 5(1) 2(1) 3(1) 16(8) 27(9) 7(2) 5(2) 4(1) 15(3) 70(29) GROUP: S.N.BOSE KENDRIYA VIDYALAYA SANGATHAN GUWAHATI REGION SUBJECT : PHYSICS Class-XII General instructions-. (a) (b) (c) (d) (e) All questions are compulsory There are 29 questions in total. Q. 1 to 8carry1 mark each. Q. 9 to 16 carry 2 marks each, Q. 17 to 25 carry 3 marks each , Q. 26 carry 04 marks and Q.27 to 29 carry 5 marks each. There is no overall choice. However, an internal choice has been provided in one question of 2 marks, one question of 3 marks and all three questions of 5 marks each. You have to attempt only one of the given choices in such questions. Use of calculators is not permitted. You may use the following physical constants wherever necessary. c = 3 x 108 ms-1 h = 6.6 x 10-34Js e = 1.6 x 10-19C µo = 4π x 10-7 TmA-1 1/4πεo = 9 x 109 N m2C-2 Avogadro number NA = 6.023 x 1023 mol-1 Mass of the neutron = 1.675 x 10-27 kg Boltzmann constant, k = 1.38 x 1023 J K-1 1.Name the physical quantity whose S.I unit is J/C. Is it a scalar or a vector quantity? 2. A beam of α particles projected along x -axis, experiences a force due to a magnetic field along the y -axis. What is the direction of the magnetic field? 3. A glass lens of refractive index 1.45disappears when immersed in a liquid. What is the value of refractive index of the liquid? 4. What is the ratio of radii of the orbits corresponding to first excited state and ground state in a hydrogen atom? 5. Name the characteristics of E M waves that (i) increases , (ii) remains constant in the EM spectrum as one moves from radiowave region towards ultraviolet region. 6. The stopping potential in an experiment on photoelectric effect is 1.5 volt. What is the maximum K.E of the photoelectrons emitted? 7. The power factor of an a.c. is 0.5.What will be the phase difference between voltage and current in this circuit? 8. State the condition in which terminal voltage across a secondary cell is equal to its e.m.f. 9.For an amplitude modulated wave, the maximum amplitude is found to be 10v while the minimum amplitude is 2v. Calculate the modulation index. Why modulation index is generally kept less than one? 10. The energy of the electron in the ground state of H atom is -13.6 eV a) What does the –ve sign signify? b) How much energy is required to take an electron in this atom from the ground state to the first excited state? 11. Show that in a uniform electric field, a dipole experiences a torque but no net force. Derive an expression for torque. 12. An α particle and a proton moving with the same speed enter the same magnetic field region at right angles to the direction of the field. Find the ratio of the radii of the circular paths which the two particles may describe. 13. Two long coaxial solenoids of the same length but different number of turns are wound one over the other. Deduce the expression for the mutual inductance of this arrangement. 14. Define resolving power of a microscope. How is this affected when the wave length of illuminating radiations is decreased? 15. Suppose the electric field part of an E.M.W in vacuum is E= 3.1N/c Cos (1.8rad/m)y +(5.4*106rad/s)t)i 16.What is the wavelength? Write an expression for magnetic field part of the wave. 17. Show how a NAND gate can be used as OR gate. 18. Derive the expression for force per unit length between two straight parallel current carrying conductors. Hence define one Ampere. OR Explain the principle and working of a cyclotron with the help of a schematic diagram. Write the expression for cyclotron frequency. 19. a) State briefly any two reasons explaining the need for modulating a signal. b) Draw a labeled block diagram of a simple modulator for obtaining an AM signal. 20. Define the terms i) drift velocity ii) relaxation time. A conductor of length L is connected to a DC source of e.m.f E. If this conductor is replaced by another conductor of same material and same area of cross section but of length 3L, how will the drift velocity change? 21. Give the principle of potentiometer. A potentiometer wire of length 10 meter has a resistance of 10 ohm. It is connected to a cell of e.m.f 2 volt and internal resistance 1 ohm. Calculate the length of the balance point for a cell of e.m.f 1.5 volt. 22. Half life of a certain radioactive material againstdecay is 138 days. After what lapse of time the undecayed fraction of the material will be 6.25%. 23. Draw the graphs showing the variation of photoelectric current with the anode potential of a photocell for i) the same frequencies but different intensities I1>I2>I3 of incident radiation, ii) the same intensities but different frequencies ν1 > ν2> ν3 of incident radiation. Explain why the saturation current is independent of the anode potential. 24. A beam of light converges to a point P. Now a lens is placed in the path of the convergent beams 12 cm from P. At what point does the beam converge if the lens is a a) convex lens of focal length 20 cm, b)a concave lens of focal length 16 cm? 25. My friend and I have been assigned a work to choose a step down transformer for supply of power for a small town with a demand of 1 MW at 220V situated 20km away from an electric plant generates power at 440V; the resistance of the two line wires carrying power is 0.5ohm/km; two step down transformers are available- 4000V-220V & 100000V – 220V. Your friend has chosen 100000V-220V step down transformer. a) As a student of physics, which step down transformer will you prefer for supply of a power for a small town. Give reason. b) What are the values associated with the above decision? (ANS: a) I go with my friends’ option, because Power loss is less in 100000V-220V that is why Transmission of a.c over long distances is preferred for transmission.(hints: Iv=P/ Ev, P=I2R,Power loss=output power/input power*100) b ) Knowledge is useful only when put to practice and concern for country’s welfare. 26. State Huygens principle. Using the geometrical construction of secondary wavelets ,explain the refraction of a plane wave front incident at a plane surface. Hence verify snells law of refraction. 27. Explain the phenomenon of diffraction of light at a single slit, to show the formation of diffraction fringes. Show graphically the variation of the intensity, with angle, in this single slit diffraction pattern. Or Prove that –μ1/u+ μ2/v= μ2- μ1/RWhen refraction occurs from rarer to denser media at a convex refracting spherical surface. How will the focal length of a lens be affected if it is dipped in water? 28.(a)What is a Zener diode ? With a circuit diagram explain how a zener diode can be used as a voltage regulator. (b) Write the truth table for the combination of gates as shown below: A B C Or Draw the circuit diagram of a base biased n-p-n transistor in C-E configuration. Explain how this circuit is used to obtain transfer characteristics. How do we explain the working of a transistor as a switch using the characteristic? 29. Find the expression for the capacitance of a parallel plate capacitor of area A and plate separation d if i) a dielectric slab of thickness t, and ii) a metallic slab of thickness t, where (t<d) are introduced one by one between the plates of the capacitor. In which case would the capacitance be more and why? Or Define electric flux. What is its unit? Show that the electric field intensity at the surface of a charged conductor is given by E=σ/Єo n ,where σ is the surface charge density and n is a unit vector normal to the surface in the outward direction. Sample paper 2 Marking - Scheme 1. Electric potential Scalar ½mark ½mark 2. Z -axis 1 mark 3. 1.45 1 mark 4. formula ½mark Result- 1/2mark 5. frequency increases and speed remains constant ½+1/2 mark 6. 1.5 ev 1 mark 7. cos φ = 0.5 and φ = 600 1 marks 8. E=v+Ir 1 mark r=0 1mark 9. 0.2 1 mark Reason 1 mark 10. Significance 1 mark 10.2 ev 1 mark 11. Net force=o 1 mark Derivation- 1 mark 12. Formula of radius- ½ mark Calculation- 1 mark Correct Ans- 1/2 mark 13.Derivation- 1 mark Final expression- 1 mark 14. Defination- 1mark Formula- 1/2 mark 15.Resolving power increases- 1/2 mark 16. 2π/λ=1.8 ½ mark C=E/B ½ mark Expression- 1mark 17. combination- 1mark Truth table- 1 mark 18. Derivation- 2 mark Definition- 1mark 19. Two needs (1+1) mark Block diagram 1mark 20. Defination- (1+1) mark Calculation- 1mark 21.Principle- 1mark Calculation- 1mark Result- 1mark 22.Formula- 1 mark Calculation- 1mark Result- 1 mark 23. Two graphs- (1+1)mark Explanation- 1mark 24. Formula- 1mark V=7.5cm 1mark V=48cm 1mark 25. (ANS: a) I go with my friends’ option, because Power loss is less in 100000V-220V that is why Transmission of a.c over long distances is preferred for transmission.(hints: Iv=P/ Ev, P=I2R,Power loss=output power/input power*100) b ) Knowledge is useful only when put to practice and concern for country’s welfare (3+1)mark 26.Principle 1mark Ray diagram 1 mark Derivation 1mark 27.Defination- 1mark Ray diagram- 1mark Derivation- 2mark Angular width- 1mark Or Derivation- 4mark Focal length-increase- 1mark 28.correct statement ½ mark circuitdiagram- 1 mark explanation 1+1/2 mark Correct truth table 2marks Or Circuit diagram- 1mark Graph- 1mark Explanation- 3marks 29-Derivation with dielectric slab- 2.5mark Derivation with conducting slabOr DefinitionUnitDerivation- 2.5mark 1mark 1mark 3 marks