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Q. No.The amount of charge \(Q\) passed in time \(t\) through a cross-section of a wire is \(Q=(7t^{2}+4t+1)~\text{C}.\) The value of current at time \(t= 6\) seconds is:
1. \( 38~ \text{A} \)
2. \( 27~ \text{A} \)
3. \( 104~ \text{A} \)
4. \( 88~ \text{A}\)
Subtopic: Current & Current Density |
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In a metre bridge with standard resistance of \(10\) \(\Omega\) in the left gap, the ratio of balancing length of meter bridge wire is \(2:3.\) The unknown resistance in the right gap is:
1. \(15\) \(\Omega\)
2. \(40\) \(\Omega\)
3. \(25\) \(\Omega\)
4. \(17.5\) \(\Omega\)
1. \(15\) \(\Omega\)
2. \(40\) \(\Omega\)
3. \(25\) \(\Omega\)
4. \(17.5\) \(\Omega\)
Subtopic: Meter Bridge |
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What will be the number of electrons passing through a heater wire in one minute, if it carries a current of \(4~\text{A}?\)
1. \(5 \times 10^{20}\)
2. \(4\times 10^{21}\)
3. \(15 \times 10^{20}\)
4. \(3 \times 10^{20}\)
1. \(5 \times 10^{20}\)
2. \(4\times 10^{21}\)
3. \(15 \times 10^{20}\)
4. \(3 \times 10^{20}\)
Subtopic: Current & Current Density |
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What is the potential difference between points \(A\) and \(B\) in the given circuit?
| 1. | \(28\) V | 2. | \(42\) V |
| 3. | \(-32\) V | 4. | \(36\) V |
Subtopic: Kirchoff's Current Law |
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Two wires of equal diameter and of resistivity \(\rho_1\) and \(\rho_2\) and length \(x_1\) and \(x_2\) are joined in series. The equivalent resistivity of the combination is:
1. \(\dfrac{\rho_1x_1+\rho_2x_2}{x_1+x_2}\)
2. \(\dfrac{\rho_1x_2+\rho_2x_1}{x_1+x_2}\)
3. \(\dfrac{\rho_1x_1-\rho_2x_2}{x_1-x_2}\)
4. \(\dfrac{\rho_1x_2-\rho_2x_1}{x_1-x_2}\)
1. \(\dfrac{\rho_1x_1+\rho_2x_2}{x_1+x_2}\)
2. \(\dfrac{\rho_1x_2+\rho_2x_1}{x_1+x_2}\)
3. \(\dfrac{\rho_1x_1-\rho_2x_2}{x_1-x_2}\)
4. \(\dfrac{\rho_1x_2-\rho_2x_1}{x_1-x_2}\)
Subtopic: Combination of Resistors |
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When a current \(i\) flows through a conductor, the drift velocity of free electrons is \(v.\) If the current is increased to \(2i,\) and the cross-sectional area of the conductor is doubled, what will be the new drift velocity of the free electrons?
| 1. | \(\dfrac{v}{4}\) | 2. | \(\dfrac{v}{2}\) |
| 3. | \(v\) | 4. | \(4v\) |
Subtopic: Current & Current Density |
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In the given figure, the equivalent resistance between the points \(A\) and \(B\) is:
1. \(8~\Omega\)
2. \(6~\Omega\)
3. \(4~\Omega\)
4. \(2~\Omega\)
1. \(8~\Omega\)
2. \(6~\Omega\)
3. \(4~\Omega\)
4. \(2~\Omega\)
Subtopic: Combination of Resistors |
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What would be the value of current through \(2\) \(\Omega\) resistance for the given circuit in the figure?
1. zero
2. \(2\) A
3. \(5\) A
4. \(4\) A
1. zero
2. \(2\) A
3. \(5\) A
4. \(4\) A
Subtopic: Kirchoff's Current Law |
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Given below are two statements:
| Assertion (A): | In the Wheatstone Bridge shown in the figure, if the resistances in opposite arms are switched (i.e. \(Q, R \) are exchanged) then the bridge remains balanced if it was initially balanced. |
| Reason (R): | The balance condition \(\dfrac P Q\) = \(\dfrac R S\) is not affected if resistances in opposite arms are switched. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Subtopic: Wheatstone Bridge |
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The figure shows a circuit with two cells connected in opposition. One cell has an EMF of \(6~\text{V}\) and an internal resistance of \({2}~\Omega,\) while the other cell has an EMF of \(4~\text{V}\) and an internal resistance of \({8}~\Omega.\) The potential difference across the terminals \(X\) and \(Y\) is:
| 1. | \(5.4\) V | 2. | \(5.6\) V |
| 3. | \(5.8\) V | 4. | \(6.0\) V |
Subtopic: Grouping of Cells |
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