File No.25/07/19/12/2014 VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD ANDHRA PRADESH - TELANGANA 2014-2015 PROGRAM M E 4TH - CHAPTER- SOLUTION ELECTRICITY 1Sol. An energy which makes our life comfortable by doing a large number of jobs is electric energy 2Sol. A device in an electric circuit which can turn on/off the electric circuit is called an electric switch 3Sol. Electric generator is a big source of electric current. 4Sol. The overhead electric cables used for the transmission of electric current are made of Aluminium. 5Sol. Polarisation in simple voltaic cell can be covercome by using chemical means. 6Sol. Dry cells is an improvement on wet le-clanche cell. 7Sol. The negative terminal of a bichromate cell is amalgamated zinc rod 8Sol. The material used to make an element of electric heater is nichrome 9Sol. Transformer is an source of electric current. 10Sol. When electric current is passed through acidulated water, it splits into hydrogen and oxgen. This effect of electric current is called chemical effect. 11Sol. In a metallic conductor, electric current thought to be due to the movement of electrons. 12Sol. In a simple voltaic cell, the positive plate consists of copper. 13Sol. The major defects of the simple voltaic cell are called local action & polarisation. 14Sol. The chemical substances used for eliminating polarisation in simple voltaic cell are called oxidising agents & reducing agents 15Sol. When zinc plate is rubbed with mercury2014 the pure - zinc 2015 metal floats up on the surface of mercury and impurities in zinc settle in the layer of mercury. 16Sol. The positive terminal of simple le-clanche cell consists of Carbon. 17Sol. The liquid used in bichromate cell is potassium bichromate solution acidified with sulphuric acid. 18Sol. Electric generator source of electric current. 19Sol. The overhead electric cables used for the transmission of electric current are made of aluminium. 20Sol. Human body is a conductor of electricity . 1Sol. Here, Q = 0.8C, t = 8 s. Q t www.eabhyasacademy.com Using, I = we get, I = 0.8C 8s = 0.1 A 2Sol. Here, I = 0.2 A, t = 30 s Using, I = Q , we get t PATHFINDER 1 PHYSICS - CHAPTER SOLUTIONS - 4 File No.25/07/19/12/2014 VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD Q = I x t = 0.2 x 30 = 6 C If n electrons flow and e is the charge on an electron, then Q = ne or n = Q 6 3.75x1019 = 19 e 1.6x10 3Sol. Here, I = 0.25 A, t = 2 hr = 2 x 60 x 60 s Using I= Q , t We get, Q = I x t = 0.25 x 2 x 60 x 60 = 1800 C 4Sol. Here, I = 0.4 A, t = 3 hr = 3 x 60 x 60 = 10800 s Q , we get t Using I = Q = I x t = 0.4 x 10800 = 4320 C 5Sol. Here, n = 6.25 x 1018 electrons Charge on each electron, e = 1.6 x 10-19 C Total charge flowing through the conductor, Q = ne = 6.25 x 1018 x 1.6 x 10-19 = 1 C Time, t = 5 s Q , we get t Using I = 1C = 0.2 A 5s I= 6Sol. Here, I = 0.2 A; t = 1 hr = 60 x 60 = 3600 s Q , we get t Using I = Q = It = 0.2 x 3600 = 720 C 7Sol. Here, I = 80 A = 80 x 10-6 A = 8 x 10-5 A 2014 (i) t = 1 second Using, I = - 2015 q ne = , we get t t 5 It 8 x 10 A x 1s n= = ( e = 1.6 x 10-19 C) 1.6 x 1019 C e 5 x 1014 electrons strike the screen every second. (ii) I = q t q = It = 8 x 10-5 A x 2 minutes = 8 x 10-5 A x 2 x 60 seconds = 960 x 10-5 C = 9600 x 10-6 C = 9600 C www.eabhyasacademy.com 8Sol. Here, I = 0.1 A (i) Using, I = n= PATHFINDER ne , we get t 0.1A x 1s It = = 6.25 x 1017 electron 1.6 x 1019 C e 2 PHYSICS - CHAPTER SOLUTIONS - 4 File No.25/07/19/12/2014 (ii) Using I = VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD q , we get t q = I t = 0.1 A x 1 hr = 0.1 A x 3600 s = 360 C. 9Sol. Given W = 56.5 joules Q = 50 coulombs V=? Potential difference V = V= Work done (W ) Ch arge transferred (Q ) 56.5 J 50C = 1.13 J/C, V = 1.13 Volts 10Sol. Potential at the point A, V1= Potential at the point B, V2 = W 12 = =4V Q 3 W 16 = = 5.3 V Q 3 Potential difference between the two points A and B. =(V2 - V1) = (5.3 V - 4 V) = 1.3 V. 11Sol. Here, Q = 96000 C, t = 1 h = 60 x 60 = 3600 s, V = 50 V Heat produced, W = QV = 96000 C x 50 V = 48 x 105 J. 12Sol :t = 0.8s, Q = 24 Coulomb, I = ? We have, Q=Ixt I= Q 24 = = 30 amp t 0.8 13Sol. Q = 1.5 Coulomb, W = 9 J, V =? We have, W = QV V= 2014 - 2015 W 9 90 = = =6V Q 1.5 15 14Sol. V = 9 volt, Q = 4 Coulomb, W = ? W We have, V= W Q W = QV = 9 x 4 = 36 Joule 15Sol. V = 250 volt, W = 125 joule, Q = ? www.eabhyasacademy.com We have, V= W Q Q= W V Q= 125 250 125 Q = 250 = 0.5 Coulomb 16Sol. W = 48 joule, Q = 6 Coulomb, V = ? PATHFINDER 3 PHYSICS - CHAPTER SOLUTIONS - 4 File No.25/07/19/12/2014 We have We have i = 19. V= 48 6 Q t Q=ixt Q=2x3 Q = 6 Coulomb i = 20 amp, t = 1/2 minute, Q = ? (a) We have, . t = 1/2 minute = 30 s Q=ixt Q = 600 Coulomb (b) e = 1.6 x 10-19 Coulomb, Q = 600 Coulomb, n = ? We have, Q = ne n= 20. W Q V = 8 volt i = 2 amp, t = 3 s, Q = ? 17. 18. V= VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD Q e n= 600 1.6 X 1019 n = 375 X 1019 n = 3.75 X 1021 electrons e = 1.6 X 10-19C, Q = 1 Coulomb, n = ? We have n= Q e n= 1.0 1.6 X 1019 n = 0.625 X 1019 2014 n = 6.25 X 1018 electrons Ans. Number of electrons = number of protons Number of protons = 6.25 X 1018 2015 BRAIN TWISTERS 1. 2. 3. 4. www.eabhyasacademy.com 5. The defects in voltaic cell are local action polarisation. A dry cell consists of zncl2, NH4Cl, Manganese dioxide and Carbon. A leclanche cell consists of carbon rod, Porous pot, powdered carbon and anganese dioxide The Italian scientist voltair , invented the first electric cell The dry cell is a modified form of a lechlanche cell In an Bichromate cell the zine rod acts as a negative pole The path along which electric current flows is called electric circuit PATHFINDER 4 PHYSICS - CHAPTER SOLUTIONS - 4 File No.25/07/19/12/2014 VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD Coating of a conductor with a non-conductor is called insulator The materials which allow the electric current to pass through them are called conductors 6. 7. 8. 9. A) Potential difference B) Metals C) Semiconductor D) Superconductor a) Current b) Charge Volt Conductors Silicon Volt Ampere Coulomb c) Potential Volt d) Work Joule a) Electrolyte in voltaic cell b) Electrolyte in lechlanche cell c) Electrolyte in Bichromate cell d) Electrolyte in a cell made of a) Bulbs in series b) Bulbs in parallel Dilute H2SO4 Ammonium chloride solution Dilute H2SO4 + Potassium Bi - chromate Lime juice 4) Dilute H2SO4 E=E1 + E2 + E3, Failure of any bulb leads to a break in the circuit Brightness of each bulb remains the same, even when one bulb is removed Volt Volt c) Unit of emf d) Unit of potential difference 10. 11. 12. 13. 14. 15. The metal to be purified by eletrolysis is connected to the anode of the voltameter, and the metallic ions discharge at the cathode of the voltaic cell. Both are correct but Reason doesnot explain Assertion. MNO2 is a depolariser in le-clanche cell, because MNO2 is goud reducing gent. Both are correct and Reason explains Assertion. The positive charge is considered to be at higher potential and a negative charge at a lower potential The earth is considered to be at zero potential. 2014 - 2015 Both are correct but, Reason doesnot explain Assertion. A primary cell converts chemical energy into electrical energy Assertion is correct but Reason is in correct. If a voltage V is applied across the bulbs connected in series ,then the voltage across each bulb remains the same If a voltage V is applied across the bulbs connected in parallel ,then the voltage across each bulb remains the same. Assertion is in correct but Reason is correct. q = it, q = 0.5C, t = 5 sec. q 0.5 0.1Amp t 5 i = 1.5 amp t = 2 sec. q = it = 1.5 2 = 3 coloumb i = 1 amp, t = 1 sec, n = ? i 16. www.eabhyasacademy.com 17. it 11 6.25 1018 q = it = ne n = e 1.6 10 19 PATHFINDER 5 PHYSICS - CHAPTER SOLUTIONS - 4 File No.25/07/19/12/2014 18. q = 60, VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD t = 4 sec. q 60 15 Amp t 4 Four electgronic cells each of emf 1 V connected in parallel, then the combined emf is 1 V There are 2 kinds of electric charge. i= 19. 20. 1. 2. Positive electrification of a body is due to the deficiency of electrons q = 5C d = 0.5 w = 10 J p. d = ? w 10 p.d = q 5 2 Volts 3. i = 4 amp n=? t = 1 sec. q ne it n w it 4 1 2.5 1019 q e 1.6 10 19 = 25 × 1018 4. q = 25 Coulombs w = 75 joule w 75 p.d = q 25 3 J / coloumb 5. 2014 - 2015 = 3 Volts In an Bichromate cell the glass vessel containing a mixture of solutions are K2Cr2o7 + H2SO4 3V 4V 6. 5V 7. www.eabhyasacademy.com 8. 3V, 4V, 5V are connected in parallel, then the total emf of the cobination is equal to maximum value of emf present in circuit So, 5V 1V , 1.5V , and 2V are connected in series. then total emf = 1 + 1.5 + 2 = 4.5 Volt. IV, 1.5V, 2V are connected in parallel then Total emf = maximum voltage = 2V. Given q = 5C of charge moves from A to B WA = 20J, WB = 32J WA 20 then, Potential at A = q 5 4 Volts Potential B = PATHFINDER WB 32 6.4 Volts q 5 6 PHYSICS - CHAPTER SOLUTIONS - 4 File No.25/07/19/12/2014 9. Current = = 10. no.of electrons charge of electron time 109 1.6 1019 4 1.6 4 6.4 Amp to wards left 1 i = 3 mA = 3 10–3 Amp t = 1 min = 60 sec. q = ne = it n = n 11. 12. 13. VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD p.d = VB – VA = 6.4 - 4 = 2.4 Volts. Given = 1019 particles 1019 protons, and 1019 electrons moves right per second t = 1 sec. 310 3 60 it 11.251018 = 1.6 1019 e When ther is an electric current through a conducting wire along its length, then an electic field must exist inside the wire but parallel to it When a motor car is started its light becomes slightly dim because of starter draws high current i = 1 mA n=? it 1103 1 6.25 1019 e 1.6 10 19 14. 15. 16. 17. Over loading of an electric circuit implies drawing of large current The material for electric fuse Tin-lead alloy. The heating elkement of an electric heater should be made with a material, which should have high specific resistance anf high melting point The electric bulbs have tunsten filaments of same lenght. If one of them given 60 watts and the other 100 watts then 100 watts bulbs has thicker filament 5 18. 1 bulb 1 glows brightly than remaining bulbs. 3 4 2014 - 2015 2 A B 19. C Brightness of A increases but that of B decreases S 20. If 60 columb of charge passes through a cross section of a conductor in 4 sec, q 60 15 Amp . t 4 www.eabhyasacademy.com i PATHFINDER 7 PHYSICS - CHAPTER SOLUTIONS - 4