In a meter bridge experiment, the null point is at a distance of \(30~\text{cm}\) from \(\mathrm{A}\). If a resistance of \(16~\Omega\) is connected in parallel with resistance \(Y\), the null point occurs at \(50~\text{cm}\) from \(\mathrm{A}\). The value of the resistance \(Y\) is:
1. | \(\dfrac{112}{3}~\Omega\) | 2. | \(\dfrac{40}{3}~\Omega\) |
3. | \(\dfrac{64}{3}~\Omega\) | 4. | \(\dfrac{48}{3}~\Omega\) |
1. | \(3.75~\text{V}\) | 2. | \(4.25~\text{V}\) |
3. | \(4~\text{V}\) | 4. | \(0.375~\text{V}\) |
1. | reactance | 2. | mobility |
3. | conductivity | 4. | conductance |
1. | \(\dfrac{4V_0R}{3R_0+16R}\) | 2. | \(\dfrac{4V_0R}{3R_0+R}\) |
3. | \(\dfrac{2V_0R}{4R_0+R}\) | 4. | \(\dfrac{2V_0R}{2R_0+3R}\) |
A network of resistors is connected across a \(10~\text{V}\) battery with an internal resistance of \(1~\Omega\) as shown in the circuit diagram. The equivalent resistance of the circuit is:
1. | \(\dfrac{17}{3}~\Omega\) | 2. | \(\dfrac{14}{3}~\Omega\) |
3. | \(\dfrac{12}{7}~\Omega\) | 4. | \(\dfrac{14}{7}~\Omega\) |
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. | do not play any significant role. |
2. | should be approximately equal to \(2\mathrm{X}\). |
3. | should be approximately equal and are small. |
4. | should be very large and unequal. |