| 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 |
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. | \(\mathrm{(R)}\) | \(\mathrm{(S)}\) | \(\mathrm{(Q)}\) | \(\mathrm{(P)}\) |
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. \(2.25\times 10^{15}~\text{m}^2\text{V}^{-1}\text{s}^{-1}\)
| 1. | current density | 2. | current |
| 3. | drift velocity | 4. | electric field |
| 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. |
| 1. | \(\mathrm{A > B > C > D}\) | 2. | \(\mathrm{D > C > B > A}\) |
| 3. | \(\mathrm{D > A > B > C}\) | 4. | \(\mathrm{C > B > A > D}\) |
| 1. | \(81~\Omega\) | 2. | \(9~\Omega\) |
| 3. | \(729~\Omega\) | 4. | \(243~\Omega\) |
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. |
| 1. | \(0.00145~\text V\) | 2. | \(0.0145~\text V\) |
| 3. | \(1.7\times10^{-6}~\text V\) | 4. | \(0.117~\text V\) |
| 1. | \(1000\) | 2. | \(10\) |
| 3. | \(100\) | 4. | \(1\) |