A uniform wire of resistance \(50~\Omega\) \(\) is cut into \(5\) equal parts. These parts are now connected in parallel. The equivalent resistance of the combination is:

1. \(2~\Omega\) \(\) 2. \(10~\Omega\) \(\)
3. \(250~\Omega\) \(\) 4. \(6250~\Omega\) 

Subtopic:  Derivation of Ohm's Law |
 75%
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Consider the following two statements:

Statement I: Kirchhoff’s junction law follows from the conservation of charge.
Statement II: Kirchhoff’s loop law follows from the conservative nature of the electric field.
 
1. Both Statement I and Statement II are correct.
2. Statement I is correct but Statement II is incorrect.
3. Statement I is incorrect but Statement II is correct.
4. Both Statement I and Statement II are incorrect.

Subtopic:  Kirchoff's Voltage Law | Kirchoff's Current Law |
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Two non-ideal batteries are connected in series. Consider the following statements:

A: The equivalent emf is larger than either of the two emfs.
B: The equivalent internal resistance is smaller than either of the two internal resistances.
 
1. Each of A and B is correct.
2. A is correct but B is wrong.
3. B is correct but A is wrong.
4. Each of A and B is wrong.
Subtopic:  Grouping of Cells |
 68%
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Two non-ideal batteries are connected in parallel. Consider the following statements:

Statement-I: The equivalent emf is smaller than either of the two emfs.
Statement-II: The equivalent internal resistance is smaller than either of the two internal resistances.

1. Both Statement I and Statement II are correct.
2. Statement I is correct but Statement II is wrong.
3. Statement II is correct but Statement I is wrong.
4. Both Statement I and Statement II are wrong
Subtopic:  Grouping of Cells |
 51%
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Electrons are emitted by a hot filament and are accelerated by an electric field as shown in the figure. The two stops at the left ensure that the electron beam has a uniform cross-section.

                  

(a) The speed of the electron is more at B than at A.
(b) The electric current is from left to right.
(c) The magnitude of the current is larger at B than at A.
(d) The current density is more at B than at A

Choose the correct option 

1. (a) only 

2. (b), (c) 

3. (c), (d) 

4. (a), (d)

Subtopic:  Current & Current Density |
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When no current is passed through a conductor,

(a) the free electrons do not move.
(b) the average speed of a free electron over a large period of time is zero.
(c) the average velocity of a free electron over a large period of time is zero.
(d) the average of the velocities of all the free electrons at an instant is zero.

Choose the correct option: 
1. (a) only 
2. (b), (c) 
3. (c), (d) 
4. (a), (d) 

Subtopic:  Current & Current Density |
 55%
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Which of the following quantities do not change when a resistor connected to a battery is heated due to the current?

(a) drift speed
(b) resistivity
(c) resistance
(d) the number of free electrons

Choose the correct option: 

1. (d) only  2. (b), (c) 
3. (c), (d)  4. (a), (d) 
Subtopic:  Derivation of Ohm's Law |
 52%
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As the temperature of a conductor increases, its resistivity and conductivity change. The ratio of resistivity to conductivity:

(a) increases
(b) decreases
(c) remains constant
(d) may increase or decrease depending on the actual temperature

 
Choose the correct option:
1. (a) only 
2. (b), (c) 
3. (c), (d) 
4. (a), (d) 

 58%
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A current passes through a wire of non-uniform cross-section. Which of the following quantities are independent of the cross-section?

(a) the charge crossing in a given time interval
(b) drift speed
(c) current density
(d) free-electron density

Choose the correct option 

1. (a) only

2. (b), (c)

3. (c), (d)

4. (a), (d)

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A capacitor of capacitance 500 µF is connected to a battery through a 10 kΩ resistor. The charge stored on the capacitor in the first 5 s is larger than the charge stored in the next
(a)  5 s
(b)  50 s
(c)  500 s
(d)  500 s

Choose the correct option
1. (a) only

2. (b), (c)

3. (c), (d)

4. All of these

 56%
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