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Q. No.
Subtopic: Derivation of Ohm's Law |
84%
Level 1: 80%+
Hints
Figure (i) and figure (ii) both are showing the variation of resistivity \((\rho)\) with a temperature \((T)\) for some materials. Identify the type of these materials.
1. Conductor and semiconductor
2. Conductor and Insulator
3. Insulator and semiconductor
4. Both are conductors
Subtopic: Derivation of Ohm's Law |
81%
Level 1: 80%+
Hints
Given below are two statements:
Several resistances \(R_1, R_2, .........R_n\) are connected in parallel. The equivalent resistance of the combination is \(R\).
Several resistances \(R_1, R_2, .........R_n\) are connected in parallel. The equivalent resistance of the combination is \(R\).
| 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. |
Subtopic: Combination of Resistors |
58%
Level 3: 35%-60%
Hints
The electric current through a wire varies with time as shown in the figure.
The total charge flown across any cross-section of the wire in the time interval \((0 \text-T)\) is:
The total charge flown across any cross-section of the wire in the time interval \((0 \text-T)\) is:
| 1. | \( {i}_{0}T\) | 2. | \( \dfrac{{i}_{0}T}{2}\) |
| 3. | \( \dfrac{{i}_{0}T}{3}\) | 4. | \( \dfrac{{i}_{0}T}{\sqrt{2}}\) |
Subtopic: Current & Current Density |
72%
Level 2: 60%+
Hints
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
In the light of the above statements choose the correct answer from the options given below:
| 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. |
In the light of the above statements choose the correct answer from the options given below:
| 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. |
Subtopic: Derivation of Ohm's Law |
58%
Level 3: 35%-60%
Hints
The current-voltage graph for a given metallic conductor at two different temperatures \(T_{1}\) and \(T_{2}\) is as shown in the figure. Then:
1. \(T_{1}=T_{2}\)
2. \(T_{2}>T_{1}\)
3. \(T_{1}>T_{2}\)
4. Insufficient information to conclude.
1. \(T_{1}=T_{2}\)
2. \(T_{2}>T_{1}\)
3. \(T_{1}>T_{2}\)
4. Insufficient information to conclude.
Subtopic: Derivation of Ohm's Law |
75%
Level 2: 60%+
Hints
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
In the light of the above statements choose the correct answer from the options given below:
| 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. |
In the light of the above statements choose the correct answer from the options given below:
| 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. |
Subtopic: Heating Effects of Current |
Level 3: 35%-60%
Hints
Four identical bulbs \(A\), \(B\), \(C\) and \(D\) are connected in a circuit as shown in the figure. Now whenever any bulb fails, then it cannot conduct current through it. Then which of the following statement(s) is/are true?
Choose the correct option from the options given below:
| (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. |
Choose the correct option from the options given below:
| 1. | (i) only |
| 2. | (ii) only |
| 3. | (i) and (ii) only |
| 4. | (ii) and (iii) only |
Subtopic: Heating Effects of Current |
64%
Level 2: 60%+
Hints
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
In the light of the above statements choose the correct answer from the options given below:
| 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. |
In the light of the above statements choose the correct answer from the options given below:
| 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. |
Subtopic: Current & Current Density |
Level 3: 35%-60%
Hints
The potential difference \(V_{AB}\) (in volts) is plotted as a function of the resistance \(R.\) The graph is given by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Derivation of Ohm's Law |
52%
Level 3: 35%-60%
Hints
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