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Q. No.Given below are two statements:
Several resistances \(R_1, R_2, .........R_n\) are connected in parallel. The equivalent resistance of the combination is \(R\).
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 |
73%
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
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
Subtopic: Derivation of Ohm's Law |
84%
Level 1: 80%+
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