Which of the following graph represents the variation of resistivity () with temperature (\(T\)) for copper?
1. | 2. | ||
3. | 4. |
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. \(2.25\times 10^{15}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)
A resistance wire connected in the left gap of a meter bridge balances a \(10~\Omega\) resistance in the right gap at a point which divides the bridge wire in the ratio \(3:2\). lf the length of the resistance wire is \(1.5~\text{m}\), then the length of \(1~\Omega\) of the resistance wire will be:
1. \(1.0\times 10^{-1}~\text{m}\)
2. \(1.5\times 10^{-1}~\text{m}\)
3. \(1.5\times 10^{-2}~\text{m}\)
4. \(1.0\times 10^{-2}~\text{m}\)
For the circuit shown in the figure, the current \(I\) will be:
1. | \(0.75~\text{A}\) | 2. | \(1~\text{A}\) |
3. | \(1.5~\text{A}\) | 4. | \(0.5~\text{A}\) |
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 of \(𝐴 _1 / 𝐴 _2 \) is:
1. | \(1.5\) | 2. | \(1\) |
3. | \(0.8\) | 4. | \(2\) |
For the circuit given below, Kirchhoff's loop rule for the loop \(BCDEB\) is given by the equation:
1. | \(-{i}_2 {R}_2+{E}_2-{E}_3+{i}_3{R}_1=0\) |
2. | \({i}_2{R}_2+{E}_2-{E}_3-{i}_3 {R}_1=0\) |
3. | \({i}_2 {R}_2+{E}_2+{E}_3+{i}_3 {R}_1=0\) |
4. | \(-{i}_2 {R}_2+{E}_2+{E}_3+{i}_3{R}_1=0\) |
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. | \(4.8~\Omega\) |
The metre bridge shown is in a balanced position with \(\frac{P}{Q} = \frac{l_1}{l_2}\). If we now interchange the position of the galvanometer and the cell, will the bridge work? If yes, what will be the balanced condition?
1. | Yes, \(\frac{P}{Q}=\frac{l_1-l_2}{l_1+l_2}\) | 2. | No, no null point |
3. | Yes, \(\frac{P}{Q}= \frac{l_2}{l_1}\) | 4. | Yes, \(\frac{P}{Q}= \frac{l_1}{l_2}\) |
The reading of an ideal voltmeter in the circuit shown is:
1. | \(0.6~\text V\) | 2. | \(0~\text V\) |
3. | \(0.5~\text V\) | 4. | \(0.4~\text V\) |
Match Column I and Column II with appropriate relations.
Column I | Column II | ||
(A) | Drift Velocity | (P) | \(\dfrac{ \mathrm{m}}{\mathrm{ne}^2 \rho}\) |
(B) | Electrical Resistivity | (Q) | \(nev_d\) |
(C) | Relaxation Period | (R) | \(\dfrac{ \mathrm{eE}}{\mathrm{m}} \tau\) |
(D) | Current Density | (S) | \(\dfrac{E}{J}\) |
(A) | (B) | (C) | (D) | |
1. | (R) | (P) | (S) | (Q) |
2. | (R) | (Q) | (S) | (P) |
3. | (R) | (S) | (P) | (Q) |
4. | (R) | (S) | (Q) | (P) |