Q. No.In the circuit shown, the equivalent resistance between terminals \(A\) and \(B\) is:
1. \(3R/2\)
2. \(2R\)
3. \(4R\)
4. \(R\)
1. \(3R/2\)
2. \(2R\)
3. \(4R\)
4. \(R\)
Subtopic: Wheatstone Bridge |
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In the figure shown, each resistor has resistance \(R.\)
Match Column I and Column II.
Match Column I and Column II.
| Column I | Column II | ||
| (A) | Equivalent resistance between \(a\) and \(b\) | (P) | \(\dfrac{R}{2}\) |
| (B) | Equivalent resistance between \(a\) and \(c\) | (Q) | \(\dfrac{5R}{8}\) |
| (C) | Equivalent resistance between \(b\) and \(d\) | (R) | \(R\) |
| 1. | A → P, B → Q, C → R |
| 2. | A → Q, B → P, C → R |
| 3. | A → R, B → P, C → Q |
| 4. | A → R, B → Q, C → P |
Subtopic: 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: Wheatstone Bridge |
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A Wheatstone bridge is used to determine the value of unknown resistance \(X\) by adjusting the variable resistance \(Y\) as shown in the figure. For the most precise measurement of \(X\), the resistances \(P\) and \(Q\):
| 1. | do not play any significant role. |
| 2. | should be approximately equal to \(2X\). |
| 3. | should be approximately equal and are small. |
| 4. | should be very large and unequal. |
Subtopic: Wheatstone Bridge |
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In the adjoining figure, the galvanometer reads zero. The resistance \(x\) is:
| 1. | \(7~\Omega\) | 2. | \(14~\Omega\) |
| 3. | \(21~\Omega\) | 4. | \(28~\Omega\) |
Subtopic: Wheatstone Bridge |
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Four resistors are connected as shown in the following figure. A \(6\) V battery of negligible resistance is connected across terminals \(A\) and \(C.\) The potential difference across terminals \(B\) and \(D\) will be:
| 1. | zero | 2. | \(1.5\) V |
| 3. | \(2\) V | 4. | \(3\) V |
Subtopic: Wheatstone Bridge |
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The resistance of each arm of the Wheatstone’s bridge is \(10~\Omega.\) If a resistance of \(10~\Omega\) is connected in series with a galvanometer, then the equivalent resistance across the battery will be:
| 1. | \(10~\Omega\) | 2. | \(15~\Omega\) |
| 3. | \(20~\Omega\) | 4. | \(40~\Omega\) |
Subtopic: Wheatstone Bridge |
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From NCERT
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For the given electrical circuit, the potential difference between point \(B\) and \(C\) is zero. The value of \(x\) is:
1. \(\dfrac{1}{2}\) \(\Omega\)
2. \(\dfrac{3}{2}\) \(\Omega\)
3. \(\dfrac{2}{3}\) \(\Omega\)
4. \(\dfrac{3}{5}\) \(\Omega\)
1. \(\dfrac{1}{2}\) \(\Omega\)
2. \(\dfrac{3}{2}\) \(\Omega\)
3. \(\dfrac{2}{3}\) \(\Omega\)
4. \(\dfrac{3}{5}\) \(\Omega\)
Subtopic: Wheatstone Bridge |
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The measurement of an unknown resistance \(R\) is to be carried out using a Wheatstone bridge. Two students perform an experiment in two ways. The first students take \(R_2=10~\Omega\) and \(R_1=5~\Omega\). The other student takes \(R_2=1000~\Omega\) and \(R_1=500~\Omega\). In the standard arm, both take \(R_3=5~\Omega\).
Both find \(R = \dfrac{R_{2}}{R_{1}} R_{3} = 10 ~ \Omega \) within errors.
| (a) | The errors of measurement of the two students are the same. |
| (b) | Errors of measurement do depend on the accuracy with which \(R_2\) and \(R_1\) can be measured. |
| (c) | If the student uses large values of \(R_2\) and \(R_1\), the currents through the arms will be feeble. This will make the determination of the null point accurately more difficult. |
| (d) | Wheatstone bridge is a very accurate instrument and has no errors of measurement. |
Choose the correct option:
1. (a, c)
2. (c, d)
3. (b, c)
4. (c, d)
Subtopic: Wheatstone Bridge |
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The value of \(R\) in the given circuit when there is no current in the \(5 ~\Omega\) resistor is:
| 1. | \(12~\Omega\) | 2. | \(9~ \Omega\) |
| 3. | \(3~ \Omega\) | 4. | \(2~ \Omega\) |
Subtopic: Wheatstone Bridge |
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NEET - 2024
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