Q. No.The current in a wire varies with time according to the equation \(I=(4+2t),\) where \(I\) is in ampere and \(t\) is in seconds. The quantity of charge which has passed through a cross-section of the wire during the time \(t=2\) s to \(t=6\) s will be:
| 1. | \(60\) C | 2. | \(24\) C |
| 3. | \(48\) C | 4. | \(30\) C |
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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. \(2.25\times 10^{15}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)
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Drift velocity vd varies with the intensity of electric field as per the relation:
1.
2.
3. vd = constant
4.
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The resistance of a wire is \(R\) ohm. If it is melted and stretched to \(n\) times its original length, its new resistance will be:
1. \(nR\)
2. \(\frac{R}{n}\)
3. \(n^2R\)
4. \(\frac{R}{n^2}\)
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Two solid conductors are made up of the same material and have the same length and the same resistance. One of them has a circular cross-section of area and the other one has a square cross-section of area . The ratio is:
| 1. | \(1.5\) | 2. | \(1\) |
| 3. | \(0.8\) | 4. | \(2\) |
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The dependence of resistivity \((\rho)\) on the temperature \((T)\) of a semiconductor is, roughly, represented by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
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The equivalent resistance between \(A\) and \(B\) for the mesh shown in the figure is:
| 1. | \(7.2\) \(\Omega\) | 2. | \(16\) \(\Omega\) |
| 3. | \(30\) \(\Omega\) | 4. | \(4.8\) \(\Omega\) |
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A potential divider is used to give outputs of 2 V and 3 V from a 5 V source, as shown in the figure.
Which combination of resistances, from the ones given below, give the correct voltages?
| 1. | \(\mathrm{R}_1=1 \mathrm{k} \Omega, \mathrm{R}_2=1 \mathrm{k} \Omega, \mathrm{R}_3=2 \mathrm{k} \Omega\) |
| 2. | \(\mathrm{R}_1=2 \mathrm{k} \Omega, \mathrm{R}_2=1 \mathrm{k} \Omega, \mathrm{R}_3=2 \mathrm{k} \Omega\) |
| 3. | \(\mathrm{R}_1=1 \mathrm{k} \Omega, \mathrm{R}_2=2 \mathrm{k} \Omega, \mathrm{R}_3=2 \mathrm{k} \Omega\) |
| 4. | \(\mathrm{R}_1=3 \mathrm{k} \Omega, \mathrm{R}_2=2 \mathrm{k} \Omega, \mathrm{R}_3=2 \mathrm{k} \Omega\) |
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In the circuit shown in the figure, the effective resistance between A and B is:
1. 2
2. 4
3. 6
4. 8
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The effective resistance between points P and Q of the electrical circuit shown in the figure is:
1.
2.
3.
4.
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