Q. No.
1. \(2 ~\Omega\)
2. \(3.2 ~\Omega\)
3. \(4 ~\Omega\)
4. \(6.4 ~\Omega\)
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| 1. | \(100~\Omega\) | 2. | \(50~\Omega\) |
| 3. | \(200~\Omega\) | 4. | \(400~\Omega\) |
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| 1. | \(R_1,R_2 \) are interchanged |
| 2. | \(R_1,R_3 \) are interchanged |
| 3. | \(R_1,R_4 \) are interchanged |
| 4. | \(R_2,R_4 \) are interchanged |
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| 1. | \(R\) must be replaced by \(2R\) |
| 2. | \(Q\) must be replaced by \(2Q\) |
| 3. | \(R\) must be replaced by \(4R\) |
| 4. | nothing needs to be done, as the bridge is balanced now. |
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| 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). |
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The current \(I_1\) through the \(8~\Omega\) resistance in the figure given below will be:
| 1. | \(1~\text{A}\) | 2. | \(\dfrac{7}{6} ~\text{A}\) |
| 3. | \(\dfrac{5}{6} ~\text{A}\) | 4. | \(\dfrac{1}{2}~\text{A}\) |
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| Statement I: | If a resistance is connected between two points in a circuit which are at the same potential, the current distribution in the circuit does not change. |
| Statement II: | If a resistance in any part of a circuit does not carry any current, then, removing it does not affect the currents anywhere else. |
| 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. |
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Initially, there is no cell in the \(P\)-arm, but the resistance \(P\) is adjusted so that the galvanometer \((G)\) shows no deflection. Then, the resistance \(P\) equals:
| 1. | \(100~\Omega\) | 2. | \(300~\Omega\) |
| 3. | \(600~\Omega\) | 4. | \(800~\Omega\) |
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The resistance \(P\) is set to zero, and a \(2\)-volt cell is inserted into the arm (see figure). There is no deflection in the galvanometer. What is the current flowing through \(R?\)
| 1. | \(5~\text{mA}\) | 2. | \(10~\text{mA}\) |
| 3. | \(15~\text{mA}\) | 4. | \(20~\text{mA}\) |
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The \(2~\text V\)-cells is replaced by a \(1\text-\)volt cell in the \(P\)-arm. The circuit is reconnected and the resistance \(P\) is adjusted so that the galvanometer does not show any deflection. The value of \(P\) is:
| 1. | \(200~\Omega\) | 2. | \(300~\Omega\) |
| 3. | \(1200~\Omega\) | 4. | \(2400~\Omega\) |
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