Page 1 Current Electricity For JEE Advanced Objective Questions Single Correct Option Q 1. Two cells A and B of emf 1.3 V and 1.5 V respectively are arranged as shown in figure. The voltmeter reads 1.45 V. Which cell has the higher internal resistance and how many times? The voltmeter is assumed to be ideal (a) r 1 = 2r 2 (b) r 1 = 3r 2 (c) r 2 = 2r 1 (d) r 2 = 3r 1 Q 2. A voltmeter connected in series with a resistance R 1 to a circuit indicates a voltage V 1 = 198 V When a series resistor R 2 = 2R 1 is used, the voltmeter indicates a voltage V 2 = 180 V If the resistance of the voltmeter is R V = 900 ? then, the applied voltage across A and 5 is (a) 210 V (b) 200 V (c) 220 V (d) 240 V Q 3. All bulbs in the circuit shown in figure are identical. Which bulb glows most brightly? (a) B (b) A (c) D (d) C Q 4. A student connects an ammeter A and a voltmeter V to measure a resistance R as shown in figure. If the voltmeter reads 20 V and the ammeter reads 4 A, then R is (a) equal to 5 ? (b) greater than 5 ? (c) less than 5 ? (d) greater or less than 5 ? depending upon the direction of current Q 5. The given figure represents an arrangement of potentiometer for the calculation of internal resistance (r) of the unknown battery (E). The balance length is 70.0 cm with the key opened and 60.0 cm with the key closed. R is 132.40 ?. The internal resistance (r) of the unknown cell will be Page 2 Current Electricity For JEE Advanced Objective Questions Single Correct Option Q 1. Two cells A and B of emf 1.3 V and 1.5 V respectively are arranged as shown in figure. The voltmeter reads 1.45 V. Which cell has the higher internal resistance and how many times? The voltmeter is assumed to be ideal (a) r 1 = 2r 2 (b) r 1 = 3r 2 (c) r 2 = 2r 1 (d) r 2 = 3r 1 Q 2. A voltmeter connected in series with a resistance R 1 to a circuit indicates a voltage V 1 = 198 V When a series resistor R 2 = 2R 1 is used, the voltmeter indicates a voltage V 2 = 180 V If the resistance of the voltmeter is R V = 900 ? then, the applied voltage across A and 5 is (a) 210 V (b) 200 V (c) 220 V (d) 240 V Q 3. All bulbs in the circuit shown in figure are identical. Which bulb glows most brightly? (a) B (b) A (c) D (d) C Q 4. A student connects an ammeter A and a voltmeter V to measure a resistance R as shown in figure. If the voltmeter reads 20 V and the ammeter reads 4 A, then R is (a) equal to 5 ? (b) greater than 5 ? (c) less than 5 ? (d) greater or less than 5 ? depending upon the direction of current Q 5. The given figure represents an arrangement of potentiometer for the calculation of internal resistance (r) of the unknown battery (E). The balance length is 70.0 cm with the key opened and 60.0 cm with the key closed. R is 132.40 ?. The internal resistance (r) of the unknown cell will be (a) 22.1 ? (b) 113.5 ? (c) 154.5 ? (d) 10 ? Q 6. Switch S is closed at time t = 0. Which one of the following statements is correct? (a) Current in the resistance R increases if E 1 r 2 < E 2 (R + r 1 ) (b) Current in the resistance R increases if E 1 r 2 > E 2 (R + r 1 ) (c) Current in the resistance R decreases if E 1 r 2 > E 2 (R + r 1 ) (d) Current in the resistance R decreases if E 1 r 2 = E 2 (R + r 1 ) Q 7. A, B and C are voltmeters of resistances R,1.5R and 3R respectively. When some potential difference is applied between x and y, the voltmeter readings are V A , V B and V C , then (a)V A = V B = V C (b)V A ? V B = V C (c) V A = V B ? V C (d) V A + V B = V C Q 8. In the circuit shown, the voltage drop across the 15 ? resistor is 30 V having the polarity as indicated. The ratio of potential difference across 5 ? resistor and resistance R is (a) 2/7 (b) 0.4 (c) 5/7 (d) 1 Q 9. In an experiment on the measurement of internal resistance of a cell by using a potentiometer, when the key K is kept open then balancing length is obtained at y metre. When the K is closed and some resistance R is inserted in the resistance box, then the balancing length is found to be x metre. Then the internal resistance is Page 3 Current Electricity For JEE Advanced Objective Questions Single Correct Option Q 1. Two cells A and B of emf 1.3 V and 1.5 V respectively are arranged as shown in figure. The voltmeter reads 1.45 V. Which cell has the higher internal resistance and how many times? The voltmeter is assumed to be ideal (a) r 1 = 2r 2 (b) r 1 = 3r 2 (c) r 2 = 2r 1 (d) r 2 = 3r 1 Q 2. A voltmeter connected in series with a resistance R 1 to a circuit indicates a voltage V 1 = 198 V When a series resistor R 2 = 2R 1 is used, the voltmeter indicates a voltage V 2 = 180 V If the resistance of the voltmeter is R V = 900 ? then, the applied voltage across A and 5 is (a) 210 V (b) 200 V (c) 220 V (d) 240 V Q 3. All bulbs in the circuit shown in figure are identical. Which bulb glows most brightly? (a) B (b) A (c) D (d) C Q 4. A student connects an ammeter A and a voltmeter V to measure a resistance R as shown in figure. If the voltmeter reads 20 V and the ammeter reads 4 A, then R is (a) equal to 5 ? (b) greater than 5 ? (c) less than 5 ? (d) greater or less than 5 ? depending upon the direction of current Q 5. The given figure represents an arrangement of potentiometer for the calculation of internal resistance (r) of the unknown battery (E). The balance length is 70.0 cm with the key opened and 60.0 cm with the key closed. R is 132.40 ?. The internal resistance (r) of the unknown cell will be (a) 22.1 ? (b) 113.5 ? (c) 154.5 ? (d) 10 ? Q 6. Switch S is closed at time t = 0. Which one of the following statements is correct? (a) Current in the resistance R increases if E 1 r 2 < E 2 (R + r 1 ) (b) Current in the resistance R increases if E 1 r 2 > E 2 (R + r 1 ) (c) Current in the resistance R decreases if E 1 r 2 > E 2 (R + r 1 ) (d) Current in the resistance R decreases if E 1 r 2 = E 2 (R + r 1 ) Q 7. A, B and C are voltmeters of resistances R,1.5R and 3R respectively. When some potential difference is applied between x and y, the voltmeter readings are V A , V B and V C , then (a)V A = V B = V C (b)V A ? V B = V C (c) V A = V B ? V C (d) V A + V B = V C Q 8. In the circuit shown, the voltage drop across the 15 ? resistor is 30 V having the polarity as indicated. The ratio of potential difference across 5 ? resistor and resistance R is (a) 2/7 (b) 0.4 (c) 5/7 (d) 1 Q 9. In an experiment on the measurement of internal resistance of a cell by using a potentiometer, when the key K is kept open then balancing length is obtained at y metre. When the K is closed and some resistance R is inserted in the resistance box, then the balancing length is found to be x metre. Then the internal resistance is (a) xy R y ? (b) yx R x ? (c) yx R y ? (d) xy R x ? Q 10. A source of emf E= 10 V and having negligible internal resistance is connected to a variable resistance. The resistance varies as shown in figure. The total charge that has passed through the resistor R during the time interval from t 1 to t 2 is (a) 401og e 4 (b) 30log, 3 (c) 201og e 2 (d) 101og e 2 Q 11. In order to increase the resistance of a given wire of uniform cross section to four times its value, a fraction of its length is stretched uniformly till the full length of the wire becomes 3 2 times the original length. What is the value of this fraction ? (a) 1 4 (b) 1 8 (c) 1 16 (d) 1 6 Q 12. The figure, shows a meter bridge circuit, with AB = 100 cm, X = 12 ? and R = 18 ? and the jockey J in the position of balance. If R is now made 8 ?, through what distance will J have to be moved to obtain balance? (a) 10 cm (b) 20 cm (c) 30 cm (d) 40 cm Q 13. A milliammeter of range 10 mA and resistance 9 ? is joined in a circuit as shown. The meter gives fullscale deflection for current I when A and B are used as its terminals, i.e., current enters at A and leaves at B(C is left isolated). The value of I is Page 4 Current Electricity For JEE Advanced Objective Questions Single Correct Option Q 1. Two cells A and B of emf 1.3 V and 1.5 V respectively are arranged as shown in figure. The voltmeter reads 1.45 V. Which cell has the higher internal resistance and how many times? The voltmeter is assumed to be ideal (a) r 1 = 2r 2 (b) r 1 = 3r 2 (c) r 2 = 2r 1 (d) r 2 = 3r 1 Q 2. A voltmeter connected in series with a resistance R 1 to a circuit indicates a voltage V 1 = 198 V When a series resistor R 2 = 2R 1 is used, the voltmeter indicates a voltage V 2 = 180 V If the resistance of the voltmeter is R V = 900 ? then, the applied voltage across A and 5 is (a) 210 V (b) 200 V (c) 220 V (d) 240 V Q 3. All bulbs in the circuit shown in figure are identical. Which bulb glows most brightly? (a) B (b) A (c) D (d) C Q 4. A student connects an ammeter A and a voltmeter V to measure a resistance R as shown in figure. If the voltmeter reads 20 V and the ammeter reads 4 A, then R is (a) equal to 5 ? (b) greater than 5 ? (c) less than 5 ? (d) greater or less than 5 ? depending upon the direction of current Q 5. The given figure represents an arrangement of potentiometer for the calculation of internal resistance (r) of the unknown battery (E). The balance length is 70.0 cm with the key opened and 60.0 cm with the key closed. R is 132.40 ?. The internal resistance (r) of the unknown cell will be (a) 22.1 ? (b) 113.5 ? (c) 154.5 ? (d) 10 ? Q 6. Switch S is closed at time t = 0. Which one of the following statements is correct? (a) Current in the resistance R increases if E 1 r 2 < E 2 (R + r 1 ) (b) Current in the resistance R increases if E 1 r 2 > E 2 (R + r 1 ) (c) Current in the resistance R decreases if E 1 r 2 > E 2 (R + r 1 ) (d) Current in the resistance R decreases if E 1 r 2 = E 2 (R + r 1 ) Q 7. A, B and C are voltmeters of resistances R,1.5R and 3R respectively. When some potential difference is applied between x and y, the voltmeter readings are V A , V B and V C , then (a)V A = V B = V C (b)V A ? V B = V C (c) V A = V B ? V C (d) V A + V B = V C Q 8. In the circuit shown, the voltage drop across the 15 ? resistor is 30 V having the polarity as indicated. The ratio of potential difference across 5 ? resistor and resistance R is (a) 2/7 (b) 0.4 (c) 5/7 (d) 1 Q 9. In an experiment on the measurement of internal resistance of a cell by using a potentiometer, when the key K is kept open then balancing length is obtained at y metre. When the K is closed and some resistance R is inserted in the resistance box, then the balancing length is found to be x metre. Then the internal resistance is (a) xy R y ? (b) yx R x ? (c) yx R y ? (d) xy R x ? Q 10. A source of emf E= 10 V and having negligible internal resistance is connected to a variable resistance. The resistance varies as shown in figure. The total charge that has passed through the resistor R during the time interval from t 1 to t 2 is (a) 401og e 4 (b) 30log, 3 (c) 201og e 2 (d) 101og e 2 Q 11. In order to increase the resistance of a given wire of uniform cross section to four times its value, a fraction of its length is stretched uniformly till the full length of the wire becomes 3 2 times the original length. What is the value of this fraction ? (a) 1 4 (b) 1 8 (c) 1 16 (d) 1 6 Q 12. The figure, shows a meter bridge circuit, with AB = 100 cm, X = 12 ? and R = 18 ? and the jockey J in the position of balance. If R is now made 8 ?, through what distance will J have to be moved to obtain balance? (a) 10 cm (b) 20 cm (c) 30 cm (d) 40 cm Q 13. A milliammeter of range 10 mA and resistance 9 ? is joined in a circuit as shown. The meter gives fullscale deflection for current I when A and B are used as its terminals, i.e., current enters at A and leaves at B(C is left isolated). The value of I is (a) 100 mA (b) 900 mA (c) 1A (d) 1.1 A Q 14. A battery of emf E 0 = 12 Vis connected across a 4 m long uniform wire having resistance 4 ?/m The cell of small emfs ? 1 = 2 V and ? 2 = 4 V having internal resistance 2 ? and 6 ? respectively are connected as shown in the figure. If galvanometer shows no deflection at the point N, the distance of point N from the point A is equal to (a) 5 m 3 (b) 4 m 3 (c) 3 m 2 (d) None of these Q 15. In the circuit shown, when keys K 1 and K 2 both are closed, the ammeter reads I o . But when K 1 is open and K 2 is closed the ammeter reads I o /2 Assuming that ammeter resistance is much less than R 2 , the values of rand R 1 in ? are (a) 25, 50 (b) 25, 100 (c) 0, 100 (d) 0,50 Q 16. In the circuit shown in figure, V must be (a) 50 V (b) 80 V (c) 100 V (d) 1290 V Q 17. In the circuit shown in figure ammeter and voltmeter are ideal. If E = 4V, R = 9 ? and r = 1 ?, then readings of ammeter and voltmeter are Page 5 Current Electricity For JEE Advanced Objective Questions Single Correct Option Q 1. Two cells A and B of emf 1.3 V and 1.5 V respectively are arranged as shown in figure. The voltmeter reads 1.45 V. Which cell has the higher internal resistance and how many times? The voltmeter is assumed to be ideal (a) r 1 = 2r 2 (b) r 1 = 3r 2 (c) r 2 = 2r 1 (d) r 2 = 3r 1 Q 2. A voltmeter connected in series with a resistance R 1 to a circuit indicates a voltage V 1 = 198 V When a series resistor R 2 = 2R 1 is used, the voltmeter indicates a voltage V 2 = 180 V If the resistance of the voltmeter is R V = 900 ? then, the applied voltage across A and 5 is (a) 210 V (b) 200 V (c) 220 V (d) 240 V Q 3. All bulbs in the circuit shown in figure are identical. Which bulb glows most brightly? (a) B (b) A (c) D (d) C Q 4. A student connects an ammeter A and a voltmeter V to measure a resistance R as shown in figure. If the voltmeter reads 20 V and the ammeter reads 4 A, then R is (a) equal to 5 ? (b) greater than 5 ? (c) less than 5 ? (d) greater or less than 5 ? depending upon the direction of current Q 5. The given figure represents an arrangement of potentiometer for the calculation of internal resistance (r) of the unknown battery (E). The balance length is 70.0 cm with the key opened and 60.0 cm with the key closed. R is 132.40 ?. The internal resistance (r) of the unknown cell will be (a) 22.1 ? (b) 113.5 ? (c) 154.5 ? (d) 10 ? Q 6. Switch S is closed at time t = 0. Which one of the following statements is correct? (a) Current in the resistance R increases if E 1 r 2 < E 2 (R + r 1 ) (b) Current in the resistance R increases if E 1 r 2 > E 2 (R + r 1 ) (c) Current in the resistance R decreases if E 1 r 2 > E 2 (R + r 1 ) (d) Current in the resistance R decreases if E 1 r 2 = E 2 (R + r 1 ) Q 7. A, B and C are voltmeters of resistances R,1.5R and 3R respectively. When some potential difference is applied between x and y, the voltmeter readings are V A , V B and V C , then (a)V A = V B = V C (b)V A ? V B = V C (c) V A = V B ? V C (d) V A + V B = V C Q 8. In the circuit shown, the voltage drop across the 15 ? resistor is 30 V having the polarity as indicated. The ratio of potential difference across 5 ? resistor and resistance R is (a) 2/7 (b) 0.4 (c) 5/7 (d) 1 Q 9. In an experiment on the measurement of internal resistance of a cell by using a potentiometer, when the key K is kept open then balancing length is obtained at y metre. When the K is closed and some resistance R is inserted in the resistance box, then the balancing length is found to be x metre. Then the internal resistance is (a) xy R y ? (b) yx R x ? (c) yx R y ? (d) xy R x ? Q 10. A source of emf E= 10 V and having negligible internal resistance is connected to a variable resistance. The resistance varies as shown in figure. The total charge that has passed through the resistor R during the time interval from t 1 to t 2 is (a) 401og e 4 (b) 30log, 3 (c) 201og e 2 (d) 101og e 2 Q 11. In order to increase the resistance of a given wire of uniform cross section to four times its value, a fraction of its length is stretched uniformly till the full length of the wire becomes 3 2 times the original length. What is the value of this fraction ? (a) 1 4 (b) 1 8 (c) 1 16 (d) 1 6 Q 12. The figure, shows a meter bridge circuit, with AB = 100 cm, X = 12 ? and R = 18 ? and the jockey J in the position of balance. If R is now made 8 ?, through what distance will J have to be moved to obtain balance? (a) 10 cm (b) 20 cm (c) 30 cm (d) 40 cm Q 13. A milliammeter of range 10 mA and resistance 9 ? is joined in a circuit as shown. The meter gives fullscale deflection for current I when A and B are used as its terminals, i.e., current enters at A and leaves at B(C is left isolated). The value of I is (a) 100 mA (b) 900 mA (c) 1A (d) 1.1 A Q 14. A battery of emf E 0 = 12 Vis connected across a 4 m long uniform wire having resistance 4 ?/m The cell of small emfs ? 1 = 2 V and ? 2 = 4 V having internal resistance 2 ? and 6 ? respectively are connected as shown in the figure. If galvanometer shows no deflection at the point N, the distance of point N from the point A is equal to (a) 5 m 3 (b) 4 m 3 (c) 3 m 2 (d) None of these Q 15. In the circuit shown, when keys K 1 and K 2 both are closed, the ammeter reads I o . But when K 1 is open and K 2 is closed the ammeter reads I o /2 Assuming that ammeter resistance is much less than R 2 , the values of rand R 1 in ? are (a) 25, 50 (b) 25, 100 (c) 0, 100 (d) 0,50 Q 16. In the circuit shown in figure, V must be (a) 50 V (b) 80 V (c) 100 V (d) 1290 V Q 17. In the circuit shown in figure ammeter and voltmeter are ideal. If E = 4V, R = 9 ? and r = 1 ?, then readings of ammeter and voltmeter are (a) 1A, 3V (b) 2 A, 3 V (c) 3A,4V (d) 4 A, 4 V Q 18. A moving coil galvanometer is converted into an ammeter reading up to 0.03 A by connecting a shunt of resistance r 4 . What is the maximum current which can be sent through this galvanometer, if no shunt is used. (Here r = resistance of galvanometer) (a) 0.004 A (b) 0.005 A (c) 0.006 A (d) 0.008 A Q 19. The potential difference between points A and B is (a) 20 V 7 (b) 40 V 7 (c) 10 V 7 (d) zero Q 20. Two wires A and B made of same material and having their lengths in the ratio 6 : 1 are connected in series. The potential difference across the wires are 3 V and 2 V respectively. If r A and r B are the radii of A and B respectively, then B A r r is (a) 1 4 (b) 1 2 (c) 1 (d) 2 Q 21. A galvanometer of resistance 50 ? is connected to a battery of 3 V along with resistance of 2950 ? in series. A full scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 20 divisions the above series resistance should be (a) 4450 ? (b) 5050 ? (c) 5550 ? (d) 6050 ? Q 22. Figure shows a potentiometer arrangement with R AB = 10 ? and rheostat of variable resistance x. For x = 0 null deflection point is found at 20 cm from A. For unknown value of x null deflection point was at 30 cm from A, then the value of x is (a) 10 ? (b) 5 ? (c) 2 ? (d) 1 ?Read More
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