Q. No.In the Wheatstone Bridge arrangement shown, the resistance \(P\) is \(2~ \Omega.\) The bridge is initially balanced. If P and Q are interchanged: an amount equal to \(S\) has to be added to \(R\) to restore the balance. The resistance \(Q\) equals (nearly):
1. \(2 ~\Omega\)
2. \(3.2 ~\Omega\)
3. \(4 ~\Omega\)
4. \(6.4 ~\Omega\)
1. \(2 ~\Omega\)
2. \(3.2 ~\Omega\)
3. \(4 ~\Omega\)
4. \(6.4 ~\Omega\)
Subtopic: Â Wheatstone Bridge |
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In a Wheatstone Bridge arrangement, as shown in the figure, the bridge is balanced. However, when the resistances in the arms \(P,Q\) are switched, the bridge is balanced only when \(R\) is replaced by \(4R\) in the other two arms. If the value of \(R\) is \(100\) \(\Omega\), that of \(S\) is:
| 1. | \(100~\Omega\) | 2. | \(50~\Omega\) |
| 3. | \(200~\Omega\) | 4. | \(400~\Omega\) |
Subtopic: Â Wheatstone Bridge |
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The Wheatstone Bridge, shown in the figure, is balanced. It will remain balanced, if:
| 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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Resistances \(P,Q,R,S\) are connected into the four arms of a Wheatstone Bridge, and it is balanced. If the resistances \(P,S\) are both doubled, then in order to re-balance the bridge:
| 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. |
Subtopic: Â Wheatstone Bridge |
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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 a correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not a correct explanation of (A). |
Subtopic: Â Wheatstone Bridge |
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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. | \(\dfrac{1}{2}~\text{A}\) |
Subtopic: Â Wheatstone Bridge |
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Given below are two statements:
| 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. |
Subtopic: Â Wheatstone Bridge |
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Consider the Wheatstone bridge-like arrangement, where the resistance \(P\) is variable, and the cell is inserted in series with \(P,\) for some situations. Terminals \(X,Y\) are connected to an external battery with a fixed EMF.
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. \(800~\Omega\)
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. \(800~\Omega\)
Subtopic: Â Wheatstone Bridge |
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Consider the Wheatstone bridge-like arrangement, where the resistance \(P\) is variable, and the cell is inserted in series with \(P,\) for some situations. Terminals \(X,Y\) are connected to an external battery with a fixed EMF.
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. \(20~\text{mA}\)
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. \(20~\text{mA}\)
Subtopic: Â Wheatstone Bridge |
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Consider the Wheatstone bridge-like arrangement, where the resistance \(P\) is variable, and the cell is inserted in series with \(P,\) for some situations. Terminals \(X,Y\) are connected to an external battery with a fixed EMF.
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. \(2400~\Omega\)
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. \(2400~\Omega\)
Subtopic: Â Wheatstone Bridge |
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