A resistor of resistance \(R\) is connected to an ideal battery. If the value of \(R\) is decreased, the power dissipated in the resistor will:

1. increase 2. decrease
3. remains unchanged 4. can't be determined

Subtopic:  Heating Effects of Current |
 68%
Level 2: 60%+
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A current passes through a resistor. Let K1 and K2 represent the average kinetic energy of the conduction electrons and the metal ions respectively.

1.   K1 < K2

2.   K1 = K2

3.   K1 > K2

4.   Any of these three may occur

Subtopic:  Current & Current Density |
Level 3: 35%-60%
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Two resistors \(R\) and \(2R\) are connected in series in an electric circuit. The thermal energy developed in \(R\) and \(2R\) are in the ratio of:
1. \(1:2\)
2. \(2:1\)
3. \(1:4\)
4. \(4:1\)

Subtopic:  Heating Effects of Current |
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Level 2: 60%+
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Two resistances \(R\) and \(2R\) are connected in parallel in an electric circuit. The thermal energy developed in \(R\) and \(2R\) are in the ratio:
1. \(1 : 2\)
2. \(2 : 1\)
3. \(  1 : 4\)
4. \(4 : 1\)

Subtopic:  Heating Effects of Current |
 78%
Level 2: 60%+
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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 |
 77%
Level 2: 60%+
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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 |
 51%
Level 3: 35%-60%
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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 |
 69%
Level 2: 60%+
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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 incorrect.
3. Statement II is correct but Statement I is incorrect.
4. Both Statement I and Statement II are incorrect.
Subtopic:  Grouping of Cells |
 53%
Level 3: 35%-60%
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The 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 from the given ones:
1. (a) only 
2. (b) and (c) only
3. (c) and (d) only
4. (a) and (d) only
Subtopic:  Current & Current Density |
Level 3: 35%-60%
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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 |
 56%
Level 3: 35%-60%
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