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) |
Assertion (A): | \(Q, R\) are exchanged) then the bridge remains balanced if it was initially balanced. | In the Wheatstone Bridge shown in the figure, if the resistances in opposite arms are switched (i.e.
Reason (R): | \(\dfrac P Q\) = \(\dfrac R S\) is not affected if resistances in opposite arms are switched. | The balance condition
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). |
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. |
1. | \(7~\Omega\) | 2. | \(14~\Omega\) |
3. | \(21~\Omega\) | 4. | \(28~\Omega\) |
1. | \(10~\Omega\) | 2. | \(15~\Omega\) |
3. | \(20~\Omega\) | 4. | \(40~\Omega\) |
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 \(R = \dfrac{R_{2}}{R_{1}} \times R_{3} = 10 ~ \Omega \) 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 from the given ones:
1. | (a) and (c) only |
2. | (c) and (d) only |
3. | (b) and (c) only |
4. | (c) and (d) only |
1. | \(12~\Omega\) | 2. | \(9~ \Omega\) |
3. | \(3~ \Omega\) | 4. | \(2~ \Omega\) |