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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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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%

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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%

From NCERT

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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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Current through the \(2~\Omega\)$$ resistance in the electrical network shown is:

1. | zero | 2. | \(1\) A |

3. | \(3\) A | 4. | \(5\) A |

Subtopic: Grouping of Cells |

77%

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The dependence of resistivity \((\rho)\) on the temperature \((T)\) of a semiconductor is, roughly, represented by:

1. | 2. | ||

3. | 4. |

Subtopic: Derivation of Ohm's Law |

64%

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What is the reading of the voltmeter of resistance \(1200~\Omega\) connected in the following circuit diagram?

1. \(2.5\) V

2. \(5.0\) V

3. \(7.5\) V

4. \(40\) V

Subtopic: Combination of Resistors |

67%

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A coil heating a bucket full of water raises the temperature by \(5^{\circ}\text{C}\) in \(2\) min. lf the current in the coil is doubled, what will be the change in the temperature of water in \(1\) min? (Assume no loss of heat to the surroundings)

1. | \(10^{\circ}\text{C}\) | 2. | \(5^{\circ}\text{C}\) |

3. | \(20^{\circ}\text{C}\) | 4. | \(15^{\circ}\text{C}\) |

Subtopic: Heating Effects of Current |

61%

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Power consumed in the given circuit is \(P_1\). On interchanging the position of \(3~\Omega\)$$ and \(12~\Omega\)$$ resistances, the new power consumption is \(P_2\). The ratio of \(\frac{P_2}{P_1}\) is:

1. | \(2\) | 2. | \(1 \over 2\) |

3. | \(3 \over 5\) | 4. | \(2 \over 5\) |

Subtopic: Heating Effects of Current |

68%

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The figure below shows a network of currents. The current *\(i\)* will be:

1. \(3~\text{A}\)

2. \(13~\text{A}\)

3. \(23~\text{A}\)

4. \(-3~\text{A}\)

Subtopic: Kirchoff's Current Law |

85%

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PMT - 1995

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