Which of the following graph correctly represents the variation of mobility \((\mu)\) of electrons with applied electric field \((E)\) in a metallic conductor?
| 1. | ![]() |
2. | ![]() |
| 3. | ![]() |
4. | ![]() |

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In the circuit shown in the figure, the effective resistance between \(A\) and \(B\) is:

1. \(2~\Omega\)
2. \(4~\Omega\)
3. \(6~\Omega\)
4. \(8~\Omega\)

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The drift velocity of free electrons in a conductor is \(v\) when a current \(i\) is flowing in it. If both the radius and current are doubled, then the drift velocity will be:
| 1. | \(v\) | 2. | \(\dfrac{v}{2}\) |
| 3. | \(\dfrac{v}{4}\) | 4. | \(\dfrac{v}{8}\) |

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| 1. | \(1\) A | 2. | \(2\) A |
| 3. | \(4\) A | 4. | Infinite |

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The equivalent resistance between \(A\) and \(B\) is:

1. \(3~\Omega\)
2. \(6~\Omega\)
3. \(9~\Omega\)
4. \(12~\Omega\)

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The current \(I\) as shown in the circuit will be:

| 1. | \(10~\text{A}\) | 2. | \(\dfrac{20}{3}~\text{A}\) |
| 3. | \(\dfrac{2}{3}~\text{A}\) | 4. | \(\dfrac{5}{3}~\text{A}\) |

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A meter bridge is set up to determine unknown resistance \(x\) using a standard \(10~\Omega\) resistor. The galvanometer shows the null point when the tapping key is at a \(52\) cm mark. End corrections are \(1\) cm and \(2\) cm respectively for end \(A\) and \(B\). Then the value of \(x\) is:

1. \(10.2~\Omega\)
2. \(10.6~\Omega\)
3. \(10.8~\Omega\)
4. \(11.1~\Omega\)

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The current through the \(5~\Omega\) resistor is:

| 1. | \(3.2~\text A\) | 2. | \(2.8~\text A\) |
| 3. | \(0.8~\text A\) | 4. | \(0.2~\text A\) |

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| 1. | \(28\) C | 2. | \(30.5\) C |
| 3. | \(8\) C | 4. | \(82\) C |

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In the figure, a carbon resistor has bands of different colours on its body as shown. The value of the resistance is:
1. 2.2 k
2. 3.3 k
3. 5.6 k
4. 9.1 k

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