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As the temperature of a metallic resistor is increased, the product of its resistivity and conductivity:

1. | increases |

2. | decreases |

3. | remains constant |

4. | may increase or decrease |

Subtopic: Derivation of Ohm's Law |

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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 |

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A uniformly increasing current flows through a \(30\) \(\Omega\) resistance, as shown in the graph.

The thermal energy generated in the resistance due to Joule heating is:

1. \(240\) J

2. \(480\) J

3. \(160\) J

4. \(320\) J

The thermal energy generated in the resistance due to Joule heating is:

1. \(240\) J

2. \(480\) J

3. \(160\) J

4. \(320\) J

Subtopic: Heating Effects of Current |

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In a Wheatstone Bridge arrangement, as shown in the figure, the bridge is balanced. However, when the resistances in the arms P, Q are switched, the bridge is balanced only when \(R\) is replaced by \(4R\) in the other two arms. If the value of R is \(100\) \(\Omega\), that of S is:

1. \(100\) \(\Omega\)

2. \(50\) \(\Omega\)

3. \(200\) \(\Omega\)

4. \(400\) \(\Omega\)

1. \(100\) \(\Omega\)

2. \(50\) \(\Omega\)

3. \(200\) \(\Omega\)

4. \(400\) \(\Omega\)

Subtopic: Wheatstone Bridge |

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A wire is connected to form an equilateral triangle ABC, each side having a resistance of \(4\) \(\Omega\). The vertex C is maintained at zero volts (\(V_C=0\)), and currents flowing in at A and B are as shown in the figure. The ratio of the potentials at D and E \(\Big(i.e.~\frac{V_D}{V_E}\Big)\) equals:

1. \(\frac31\)

2. \(\frac21\)

3. \(\frac11\)

4. \(\frac53\)

1. \(\frac31\)

2. \(\frac21\)

3. \(\frac11\)

4. \(\frac53\)

Subtopic: Kirchoff's Current Law |

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AB is a \(20\) \(\Omega\) resistor with a tapping point C that can be moved along AB. The resistances in AC, BC are proportional to the lengths AC, BC. Initially, C is at the mid-point of AB and the circuit is switched on.

If the tapping point C is moved so that the length BC is reduced to half its initial value, then the voltage across the \(15\) \(\Omega\) resistor,

If the tapping point C is moved so that the length BC is reduced to half its initial value, then the voltage across the \(15\) \(\Omega\) resistor,

1. | increases by \(1\) V |

2. | decreases by \(1\) V |

3. | increases by \(3\) V |

4. | decreases by \(3\) V |

Subtopic: Kirchoff's Voltage Law |

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Given below are two statements:

Statement I: |
The law of conservation of energy is valid in electric circuits. |

Statement II: |
Kirchhoff's junction law is applicable to electric circuits. |

1. | Statement I and Statement II are True and Statement I is the correct explanation of Statement II. |

2. | Statement I and Statement II are True and Statement I is not the correct explanation of Statement II. |

3. | Statement I is True, Statement II is False. |

4. | Statement I is False, Statement II is True. |

Subtopic: Kirchoff's Current Law |

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All the cells, shown in the figure below, are of \(2\) V, and all the resistances are \(1\) \(\Omega\). When a potential difference \(V\) is applied between A and B, the current through the circuit doubles compared to the situation when the potential difference is made zero.

Then,

Then,

1. | \(V=2\) volt, positive at A. |

2. | \(V=2\) volt, negative at A. |

3. | \(V=6\) volt, positive at A. |

4. | \(V=6\) volt, negative at A. |

Subtopic: Kirchoff's Voltage Law |

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All the resistances in the circuit shown below are \(2~\Omega.\) The equivalent resistance between \(A\) and \(C\) is:

1. \(4~\Omega\)

2. \(2~\Omega\)

3. \(\frac43~\Omega\)

4. \(\frac{10}3~\Omega\)

1. \(4~\Omega\)

2. \(2~\Omega\)

3. \(\frac43~\Omega\)

4. \(\frac{10}3~\Omega\)

Subtopic: Combination of Resistors |

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The current flowing through the left \(20~\Omega\) resistor is:

1. | \(1~\text A\) | 2. | \(0.5~\text A\) |

3. | \(2.5~\text A\) | 4. | \(3~\text A\) |

Subtopic: Kirchoff's Voltage Law |

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