Statement I: | Kirchhoff’s current law is a consequence of the conservation of energy as applied to electric circuits. |
Statement II: | Kirchhoff’s voltage law is a consequence of the conservation of charge. |
1. | Statement I is incorrect and Statement II is correct. |
2. | Both Statement I and Statement II are correct. |
3. | Both Statement I and Statement II are incorrect. |
4. | Statement I is correct and Statement II is incorrect. |
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. | 2. | ||
3. | 4. |
Assertion (A): | The electric bulbs glow immediately when switch is on. |
Reason (R): | The drift velocity of electrons in a metallic wire is very high. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
(i) | The brightness of bulb \(C\) is the highest. |
(ii) | If \(A\) fails, \(B\) will not glow. |
(iii) | If \(C\) fails, the brightness of bulb \(D\) increases. |
1. | (i) only |
2. | (ii) only |
3. | (i) and (ii) only |
4. | (ii) and (iii) only |
Assertion (A): | When an external resistor of resistance R (connected across a cell of internal resistance r) is varied power consumed by resistance R is maximum when R=r. |
Reason (R): | Power consumed by a resistor of constant resistance R is maximum when the current through it is maximum. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | Resistance of a conducting metallic wire depends on the voltage applied across it and current passing through it. |
Reason (R): | Ohm's law is also valid for semiconductors. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
1. | \( {i}_{0}T\) | 2. | \( \dfrac{{i}_{0}T}{2}\) |
3. | \( \dfrac{{i}_{0}T}{3}\) | 4. | \( \dfrac{{i}_{0}T}{\sqrt{2}}\) |
Assertion (A): | The fractional error in \(R\) is most affected by that of the smallest resistance in the combination, other things being equal. |
Reason (R): | In parallel, the conductances add. The contribution to the overall error in the conductance is largest for the largest conductance or the smallest resistance. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | (A) is False but (R) is True. |