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

Subtopic:  Current & Current Density |
83%
From NCERT
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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
NEET - 2020
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Drift velocity vd varies with the intensity of electric field as per the relation:

1. ${v}_{d}\propto E$

2. ${v}_{d}\propto \frac{1}{E}$

3. vd = constant

4. ${v}_{d}\propto {E}^{2}$

Subtopic:  Current & Current Density |
77%
From NCERT
PMT - 1981
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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. $$\frac{R}{n^2}$$

Subtopic:  Derivation of Ohm's Law |
82%
From NCERT
NEET - 2017
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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 ${A}_{1}$ and the other one has a square cross-section of area ${A}_{2}$. The ratio ${A}_{1}/{A}_{2}$ is:

 1 $$1.5$$ 2 $$1$$ 3 $$0.8$$ 4 $$2$$
Subtopic:  Derivation of Ohm's Law |
82%
From NCERT
NEET - 2020
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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%
From NCERT
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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 $$4.8$$  $$\Omega$$
Subtopic:  Combination of Resistors |
87%
From NCERT
NEET - 2020
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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, ${\mathrm{R}}_{1},$ ${\mathrm{R}}_{2},$ $\mathrm{and}$ ${\mathrm{R}}_{3}$ 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 $$\mathrm{R}_1=3 \mathrm{k} \Omega, \mathrm{R}_2=2 \mathrm{k} \Omega, \mathrm{R}_3=2 \mathrm{k} \Omega$$

Subtopic:  Combination of Resistors |
79%
From NCERT
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In the circuit shown in the figure, the effective resistance between A and B is:

1.  2 $\mathrm{\Omega }$

2.  4 $\mathrm{\Omega }$

3.  6 $\mathrm{\Omega }$

4.  8 $\mathrm{\Omega }$

Subtopic:  Combination of Resistors |
79%
From NCERT
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The effective resistance between points P and Q of the electrical circuit shown in the figure is:

1. $2Rr/\left(R+r\right)$

2. $8R$ $\left(R+r\right)/\left(3R+r\right)$

3. $2r+4R$

4. $5R/2$ $+$ $2r$

Subtopic:  Combination of Resistors |
76%
From NCERT
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