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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 full-scale 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 full-scale 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 full-scale 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 ?
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FAQs on DC Pandey Solutions (JEE Advance): Current Electricity- 1 - DC Pandey Solutions for JEE Physics
| 1. What is the JEE Advance exam? |  |
Ans. The JEE Advance exam is a highly competitive entrance examination conducted in India for admission into prestigious engineering colleges, including the Indian Institutes of Technology (IITs). It is the second stage of the Joint Entrance Examination (JEE) and is considered one of the toughest engineering entrance exams in the country.
| 2. Who is DC Pandey and how does his book help with JEE Advance preparation? | |
Ans. DC Pandey is a renowned author of physics books for competitive exams like JEE. His book on Current Electricity provides detailed explanations and solutions for JEE Advance level questions. It covers the essential concepts, theory, and practice problems related to current electricity, which is an important topic in the JEE Advance syllabus. The book is a valuable resource for students preparing for the exam.
| 3. What are some important topics covered in the article "Current Electricity: JEE Advance(Part - 1) - Physics, Solution by DC Pandey JEE"? | |
Ans. Some important topics covered in the article include the JEE Advance exam, the book "Current Electricity" by DC Pandey, and its relevance to JEE Advance preparation. The article also mentions that it is Part 1 of a series, indicating that there may be subsequent parts covering other topics related to current electricity in the JEE Advance syllabus.
| 4. How can I effectively prepare for the JEE Advance exam? | |
Ans. Effective preparation for the JEE Advance exam requires a structured study plan, thorough understanding of concepts, regular practice of problem-solving, and proper time management. It is important to refer to reliable study materials, such as books by renowned authors like DC Pandey, and solve previous year question papers and mock tests to familiarize yourself with the exam pattern and improve your problem-solving skills.
| 5. Is current electricity a challenging topic in the JEE Advance exam? | |
Ans. Yes, current electricity is considered a challenging topic in the JEE Advance exam. It requires a clear understanding of concepts like Ohm's law, Kirchhoff's laws, and various circuit elements. Additionally, the exam often includes complex circuits and questions that test the application of these concepts. Thorough preparation and practice are essential to excel in this topic and score well in the JEE Advance exam.
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