A cell of internal resistance \(r\) drives current through an external resistance \(R.\) The power delivered by the cell to the external resistance will be maximum when:
1. \(R=1000 r\)
2. \(R=0.001r\)
3. \(R=2r\)
4. \(R=r\)
Which of the following acts as a circuit protection device?
| 1. | Fuse | 2. | Conductor |
| 3. | Inductor | 4. | Switch |

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The power dissipated in the circuit shown in the figure is \(30~\text{Watts}\). The value of \(R\) is:
1. \(15~\Omega\)
2. \(10~\Omega\)
3. \(30~\Omega\)
4. \(20~\Omega\)

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| 1. | they have equal currents through them. |
| 2. | the resistances of both the bulbs are the same. |
| 3. | the resistance of the bulb of \(40~\text{watts}\) is more. |
| 4. | the resistance of the bulb of \(100~\text{watts}\) is more. |
In India, electricity is supplied for domestic use at \(220~\text{V}.\) It is supplied at \(110~\text{V}\) in the USA. If the resistance of a \(60~\text{W}\) bulb for use in India is \(R\), the resistance of a \(60~\text{W}\) bulb for use in the USA will be:
| 1. | \(2R\) | 2. | \(\dfrac{R}{4}\) |
| 3. | \(\dfrac{R}{2}\) | 4. | \(R\) |

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