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A charged particle having drift velocity of \(7.5\times10^{-4}~\text{ms}^{-1}\) in an electric field of \(3\times10^{-10}~\text{Vm}^{-1}\), has mobility of:

1. \(2.5\times 10^{6}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)

2. \(2.5\times 10^{-6}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)

3. \(2.25\times 10^{-15}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)

4. \(2.25\times 10^{15}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)

Subtopic: Current & Current Density |

82%

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When a \(100\) W, \(240\) V bulb is operated at \(200\) volt, the current in it is:

1. \(0.35~\text{A}\)

2. \(0.42~\text{A}\)

3. \(0.50~\text{A}\)

4. \(0.58~\text{A}\)

Subtopic: Heating Effects of Current |

62%

From NCERT

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For the given circuit, the value of the resistance in which the maximum heat is produced is:

1. \(2~\Omega\)

2. \(6~\Omega\)

3. \(4~\Omega\)

4. \(12~\Omega\)$$

Subtopic: Heating Effects of Current |

63%

From NCERT

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Twelve wires of equal resistance \(R\) are connected to form a cube. The effective resistance between two diagonal ends \(A\) and \(E\) will be:

1. \(\frac{5 R}{6}\)

2. \(\frac{6 R}{5}\)

3. \(12 R\)

4. \(3 R\)

Subtopic: Kirchoff's Voltage Law |

71%

From NCERT

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Three voltmeters are connected as shown.

A potential difference is applied between \(A\) and \(B\). On closing the switch \(S\), readings of voltmeter(s):

1. | \({V_1}\) increases. |

2. | \({V_2}\) increases. |

3. | \({V_2}\) & \({V_3}\) both increases. |

4. | one of \(V_2\) & \({V_3}\) increases and \({V_1}\) decreases. |

Subtopic: Combination of Resistors |

51%

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A potential divider is used to give outputs of \(2~\text{V}\) and \(3~\text{V}\) from a \(5~\text{V}\) source, as shown in the figure.

Which combination of resistances, from the ones given below, \(R_1, R_2, ~\text{and}~R_3\) give the correct voltages?

1. | \({R}_1=1~\text{k} \Omega, {R}_2=1 ~\text{k} \Omega, {R}_3=2 ~\text{k} \Omega\) |

2. | \({R}_1=2 ~\text{k} \Omega, {R}_2=1~\text{k} \Omega, {R}_3=2~\text{k} \Omega\) |

3. | \({R}_1=1 ~\text{k} \Omega, {R}_2=2~ \text{k} \Omega, {R}_3=2~ \text{k} \Omega\) |

4. | \({R}_1=3~\text{k} \Omega, {R}_2=2~\text{k} \Omega, {R}_3=2~ \text{k} \Omega\) |

Subtopic: Combination of Resistors |

79%

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A constant voltage is applied between the two ends of a uniform metallic wire. Some heat is developed in it. The heat developed doubles if:

1. | both the length and the radius of the wire are halved. |

2. | both the length and the radius of the wire are doubled. |

3. | the radius of the wire is doubled. |

4. | The length of the wire is doubled. |

Subtopic: Heating Effects of Current |

52%

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A \(50\) kW dc generator produces a potential difference of \(250\) V. If the resistance of the transmission line is \(1~\Omega\), what percentage of the original power is lost during transmission?

1. \(80\%\)

2. \(40\%\)

3. \(20\%\)

4. \(10\%\)

Subtopic: Heating Effects of Current |

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A current of \(2\) A is to be sent through a resistor of \(5 ~\Omega.\) Number of cells required in series, if each has emf \(2\) V and internal resistance \(0.5~\Omega,\) are:

1. \(40\)

2. \(30\)

3. \(20\)

4. \(10\)

Subtopic: Grouping of Cells |

76%

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Two batteries, one of emf \(18~\text{V}\) and internal resistance \(2~\Omega\) and the other of emf \(12\) V and internal resistance \(1~\Omega\), are connected as shown. Reading of the voltmeter is:

(if voltmeter is ideal)

1. \(14\) V

2. \(15\) V

3. \(18\) V

4. \(30\) V

Subtopic: Grouping of Cells |

78%

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