Which of the following graph correctly represents the variation of mobility \((\mu)\) of electrons with applied electric field \((E)\) in a metallic conductor?
1. | ![]() |
2. | ![]() |
3. | ![]() |
4. | ![]() |
In the circuit shown in the figure, the effective resistance between \(A\) and \(B\) is:
1. \(2~\Omega\)
2. \(4~\Omega\)
3. \(6~\Omega\)
4. \(8~\Omega\)
The drift velocity of free electrons in a conductor is \(v\) when a current \(i\) is flowing in it. If both the radius and current are doubled, then the drift velocity will be:
1. | \(v\) | 2. | \(\dfrac{v}{2}\) |
3. | \(\dfrac{v}{4}\) | 4. | \(\dfrac{v}{8}\) |
1. | \(1\) A | 2. | \(2\) A |
3. | \(4\) A | 4. | Infinite |
The equivalent resistance between \(A\) and \(B\) is:
1. \(3~\Omega\)
2. \(6~\Omega\)
3. \(9~\Omega\)
4. \(12~\Omega\)
The current \(I\) as shown in the circuit will be:
1. | \(10~\text{A}\) | 2. | \(\dfrac{20}{3}~\text{A}\) |
3. | \(\dfrac{2}{3}~\text{A}\) | 4. | \(\dfrac{5}{3}~\text{A}\) |
A meter bridge is set up to determine unknown resistance \(x\) using a standard \(10~\Omega\) resistor. The galvanometer shows the null point when the tapping key is at a \(52\) cm mark. End corrections are \(1\) cm and \(2\) cm respectively for end \(A\) and \(B\). Then the value of \(x\) is:
1. \(10.2~\Omega\)
2. \(10.6~\Omega\)
3. \(10.8~\Omega\)
4. \(11.1~\Omega\)
The current through the \(5~\Omega\) resistor is:
1. | \(3.2\) A | 2. | \(2.8\) A |
3. | \(0.8\) A | 4. | \(0.2\) A |
1. | \(28\) C | 2. | \(30.5\) C |
3. | \(8\) C | 4. | \(82\) C |
In the circuit shown, the value of each of the resistances is \(r\). The equivalent resistance of the circuit between terminals \(A\) and \(B\) will be:
1. | \(\dfrac{4r}{3}\) | 2. | \(\dfrac{3r}{2}\) |
3. | \(\dfrac{r}{3}\) | 4. | \(\dfrac{8r}{7}\) |