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Jr Chemistry E/M CURRENT ELECTRICITY 108 NISHITH Multimedia India (Pvt.) Ltd., NISHITH Multimedia India (Pvt.) Ltd., JEE - ADVANCED VOL - VI CURRENT ELECTRICITY LEVEL - V MULTIPLE ANSWER QUESTIONS 1. In the circuit shown in figure the heat produced in the 5 resistor due to the current flowing through it is 10 cal/s [1981, 2m] 4 6 5 The heat generated in the 4 resistor is A. 1 cal/s B. 2 cal/s C. 3 cal/s D. 4 cal/s 2. The current i in the circuit (see figure) is [1983, 1M] i 2V 30 30 30 A. 1 A 45 B. 1 A 15 C. 1 A 10 D. 1 A 5 3. A piece of copper and another of germanium are cooled from room temperature to 80 K. The resistance of [1988, 1M] A. each of them increases B. each of them decreases C. copper increases and germanium decreases D. copper decreases and germanium increases 4. Read the following statements carefully Y: The resistivity of semiconductor decreases with increase of temperature Z: In a conducting solid, the rate of collisions between free electrons and ions increases with increase of temperature. Select the correct statement(s) from the following [1993, 2M] A. Y is true but Z is false B. Y is false but Z is true C. Both Y and Z are true D. Y is true and Z is the correct reason for Y 5. A battery of internal resistance 4 is connected to the network of resistances as shown in figure. In order that the maximum power can be delivered to the network, the value of R in should be R R R R E R 4 6R 4R A. 4 9 B. 2 C. 8 3 D. 18 6. A steady current flows in a metallic conductor of non-uniform cross-section. The quantity/quantities constant along the length of the conductor is/are [1997, 1M] A. current, electric field and drift speed B. drift speed only C. current and drift speed D. current only 7. In the circuit shown in the figure, the current through [1998, 2M] 3 2 2 8 8 4 2 2 2 9V A. the 3 resistor is 0.50 A B. the 3 resistor is 0.25 A C. the 4 resistor is 0.50 A D. the 4 resistor is 0.25 A
NISHITH Multimedia India (Pvt.) Ltd., 109 CURRENT ELECTRICITY NISHITH Multimedia India (Pvt.) Ltd., JEE - ADVANCED VOL - VI 8. In the circuit shown P R , the reading of galvanometer is same with switch S open or closed. Then [1999, 2M] R P Q G S V A. R G I I B. P G I I C. Q G I I D. Q R I I 9. In the given circuit, it is observed that the current I is independent of the value of the resistance R6 . Then, the resistance values must satisfy [2001, 2M] R5 R6 R3 R4 R1 R2 I A. R R R R R R 1 2 5 3 4 6 B. 5 6 1 2 3 4 1 1 1 1 R R R R R R C. R R R R 1 4 2 3 D. R R R R 1 3 2 4 10. A wire of length L and 3 identical cells of negligible internal resistances are connected in series. Due to the current, the temperature of the wire is raised by T in a time t. A number N of similar cells is now connected in series with a wire of the same material and cross-section but of length 2L. The temperature of the wire is raised by the same amount T in the same time. The value of N is [2001, 2M] A. 4 B. 6 C. 8 D. 9 11. In the given circuit, with steady current, the potential difference across the capacitor must be [2001, 2M] A. V B. V 2 C. V 3 D. 2V 3 12. The effective resistance between points P and Q of the electrical circuit shown in the figure is [2002, 2M] P Q 2R 2R 2R 2R 2R 2R r r A. 2Rr R r B. 8R R r 3R r C. 2r 4R D. 5R 2r 2 13. A 100 W bulb B1 , and two 60 W bulbs B2 and B3 , are connected to a 250 V source, as shown in the figure. Now W ,W1 2 and W3 are the output powers of the bulbs B ,B1 2 and B3 respectively. Then,[2002, 2M] B1 B2 B3 250V
Jr Chemistry E/M CURRENT ELECTRICITY 110 NISHITH Multimedia India (Pvt.) Ltd., NISHITH Multimedia India (Pvt.) Ltd., JEE - ADVANCED VOL - VI A. W W W 1 2 3 B. W W W 1 2 3 C. W W W 1 2 3 D. W W W 1 2 3 14. Which of the following set-up can be used to verify Ohm’s law? [2003, 2M] A. V A B. A V C. A V D. V A 15. In the shown arrangement of the experiment of the meter bridge if AC corresponding to null deflection of galvanometer is x, what would be its value if the radius of the wire AB is doubled? [2003, S] G R 1 R 2 A x B C A. x B. x 4 C. 4x D. 2x 16. The three resistances of equal value are arranged in the different combinations shown below. Arrange them in increasing order of power dissipation [2003, 2M] i i i A. III < II < IV < I B. II < III < IV < I C. I < IV < III < II D. I < III < II < IV 17. Six equal resistances are connected between points P, Q and R as shown in the figure. Then, the net resistance will be maximum between [2004, 2M] P Q R A. P and Q B. Q and R C. P and R D. any two points 18. For the post office box arrangement to determine the value of unknown resistance, the unknown resistance should be connected between [2004, 2M] A. 1 1 B and C B. A and D C. C and D D. B and D
NISHITH Multimedia India (Pvt.) Ltd., 111 CURRENT ELECTRICITY NISHITH Multimedia India (Pvt.) Ltd., JEE - ADVANCED VOL - VI 19. A capacitor is charged using an external battery with a resistance x in series. The dashed line shows the variation of ln I with respect to time. If the resistance is changed to 2x, the new graph will be [2004, 2M] S R Q P t l A. P B. Q C. R D. S 20. A moving coil galvanometer of resistance 100 is used as an ammeter using a resistance 0.1. The maximum deflection current in the galvanometer is 100 A . Find the current in the circuit, so that the ammeter shows maximum deflection [2005, 2M] A. 100.1 mA B. 1000.1 mA C. 10.01 mA D. 1.01 mA 21. A rigid container with thermally insulated walls contains a coil of resistance 100 , carrying current 1A. Change in internal energy after 5 min will be [2005, 2M] A. zero B. 10 kJ C. 20 kJ D. 30 kJ 22. Find out the value of current through 2 resistance for the given circuit [2005, 2M] A. 5 A B. 6 A C. zero D. 4 A 23. A 4 F capacitor and a resistance of 2.5M are in series with 12 V battery. Find the time after which the potential difference across the capacitor is 3 times the potential difference across the resistor [Given, ln (2) = 0.693] [2005, 2M] A. 13.86 s B. 6.93 s C. 7 s D. 14 s 24. Two bars of radius r and 2r are kept in contact as shown. An electric current I is passed through the bars. Which one of following is correct? [2006, 3M] A B C 1/2 1/2 2r i r A. Heat produced in bar BC is 4 times the heat produced in bar AB B. Electric field in both halves is equal C. Current density across AB is double that of across BC D. Potential difference across AB is 4 times that of across BC 25. Find the time constant for the given RC circuits in correct order (in s)[2006, 3M] V C 1 C 2 R 1 R 2