A copper wire of radius \(1\) mm contains \(10^{22}\) free electrons per cubic metre. The drift velocity for free electrons when \(10\) A current flows through the wire will be:
(Given, charge on electron = \(1.6\times10^{-19}\) C)
1. \(\dfrac{6.25\times10^4}{\pi}\) m/s 2. \(\dfrac{6.25}{\pi}\times10^3\) m/s
3. \(\dfrac{6.25}{\pi}\) m/s 4. \(\dfrac{6.25\times10^5}{\pi}\) m/s
Subtopic:  Current & Current Density |
 74%
Level 2: 60%+
NEET - 2023
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Match Column-I and Column-II with appropriate relations.

Column-I Column-II
\(\mathrm{(A)}\) Drift Velocity \(\mathrm{(P)}\) \(\dfrac{{m}}{{ne}^2 \rho}\)
\(\mathrm{(B)}\) Electrical Resistivity \(\mathrm{(Q)}\) \(nev_d\)
\(\mathrm{(C)}\) Relaxation Period \(\mathrm{(R)}\) \(\dfrac{ {eE}}{{m}} \tau\)
\(\mathrm{(D)}\) Current Density \(\mathrm{(S)}\) \(\dfrac{E}{J}\)
 
\(\mathrm{(A)}\) \(\mathrm{(B)}\) \(\mathrm{(C)}\) \(\mathrm{(D)}\)
1. \(\mathrm{(R)}\) \(\mathrm{(P)}\) \(\mathrm{(S)}\) \(\mathrm{(Q)}\)
2. \(\mathrm{(R)}\) \(\mathrm{(Q)}\) \(\mathrm{(S)}\) \(\mathrm{(P)}\)
3. \(\mathrm{(R)}\) \(\mathrm{(S)}\) \(\mathrm{(P)}\) \(\mathrm{(Q)}\)
4. \(\mathrm{(R)}\) \(\mathrm{(S)}\) \(\mathrm{(Q)}\) \(\mathrm{(P)}\)
Subtopic:  Current & Current Density |
 58%
Level 3: 35%-60%
NEET - 2021
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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 |
 83%
Level 1: 80%+
NEET - 2020
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Across a metallic conductor of non-uniform cross-section, a constant potential difference is applied. The quantity which remains constant along the conductor is:
1. current density 2. current
3. drift velocity 4. electric field
Subtopic:  Current & Current Density |
 62%
Level 2: 60%+
NEET - 2015
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Arrange the following in the order of their resistance.
A. (\(0\) to \(1~\text A\)) ranged ammeter.
B. (\(0\) to \(100~\text {mA}\)) ranged milli-ammeter.
C. (\(0\) to \(500~\mu\text A\)) ranged micro-ammeter.
D. (\(0\) to \(100~\text V\)) ranged voltmeter.
 
Choose the correct answer from the options given below:
1. \(\mathrm{A > B > C > D}\) 2. \(\mathrm{D > C > B > A}\)
3. \(\mathrm{D > A > B > C}\) 4. \(\mathrm{C > B > A > D}\)
Subtopic:  Derivation of Ohm's Law |
 54%
Level 3: 35%-60%
NEET - 2024
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A certain wire \(A\) has resistance \(81~\Omega.\) The resistance of another wire \(B\) of the same material and equal length but of diameter thrice the diameter of \(A\) will be:
1. \(81~\Omega\) 2. \(9~\Omega\)
3. \(729~\Omega\) 4. \(243~\Omega\)
Subtopic:  Derivation of Ohm's Law |
 75%
Level 2: 60%+
NEET - 2023
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The resistance of platinum wire at \(0^{\circ} \text{C}\) is \(2~ \Omega\) and \(6.8~ \Omega\) at \(80^{\circ}\text{C}\). The temperature coefficient of resistance of the wire is:
1. \(3\times 10^{-1}~^\circ \text{C}^{-1}\)
2. \(3 \times 10^{-4}~^\circ \text{C}^{-1}\)
3. \(3 \times 10^{-3}~^\circ \text{C}^{-1}\)
4. \(3 \times 10^{-2}~^\circ \text{C}^{-1}\)
Subtopic:  Derivation of Ohm's Law |
 73%
Level 2: 60%+
NEET - 2023
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The plot of current \(I~\text{(A)}\) flowing through a metallic conductor versus the applied voltage \(V~\text{(volt)}\) across the ends of a conductor is:

1.   2.
3. 4.
Subtopic:  Derivation of Ohm's Law |
 81%
Level 1: 80%+
NEET - 2022
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Two rods of equal length \(1~\text{m}\) and equal cross-sectional area \(0.01~\text{cm}^2\) are joined in series, as shown. One rod is copper with resistivity \(1.7\times10^{-6}~\Omega\text{-cm},\) and the other is iron with resistivity \(10^{-5}~\Omega\text-\text{cm}.\) What voltage must be applied across the combination to maintain a current of \(1~\text A\) in the circuit?
1. \(0.00145~\text V\) 2. \(0.0145~\text V\)
3. \(1.7\times10^{-6}~\text V\) 4. \(0.117~\text V\)
Subtopic:  Derivation of Ohm's Law |
 64%
Level 2: 60%+
NEET - 2013
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\(10\) resistors, each of resistance \(R\) are connected in series to a battery of \(E\) and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased \(n\) times. The value of \(n\) is:
1. \(1000\) 2. \(10\)
3. \(100\) 4. \(1\)
Subtopic:  Combination of Resistors |
 69%
Level 2: 60%+
NEET - 2023
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