| 1. | \(7~\Omega\) | 2. | \(14~\Omega\) |
| 3. | \(21~\Omega\) | 4. | \(28~\Omega\) |

| 1. | \(12~\Omega\) | 2. | \(9~ \Omega\) |
| 3. | \(3~ \Omega\) | 4. | \(2~ \Omega\) |

| (A) | No current flows through the \(5~\Omega\) resistor. |
| (B) | \(R=15~\Omega\) |
| (C) | \(R=12.5~\Omega\) |
| (D) | \(R={\Large\frac{18}{5}}~\Omega\) |
| 1. | (A), (B) and (C) only |
| 2. | (A) and (B) only |
| 3. | (A) and (D) only |
| 4. | (B), (C) and (D) only |
Four resistors of resistances \(15~ \Omega , 12~ \Omega , 4~ \Omega ,\) and \(10 ~\Omega \) are connected in cyclic order to form a Wheatstone network. To balance the network, an additional resistor is connected in parallel with the \(10 ~\Omega \) resistor. The value of this additional resistance should be:
1. \(10~\Omega\)
2. \(20~\Omega\)
3. \(30~\Omega\)
4. \(40~\Omega\)

The resistance of each arm of the wheat stone bridge is \(10~ \Omega.\) A resistance of \(10~ \Omega\) is connected in series with a galvanometer. The equivalent resistance across the battery will be:
1.\(10~ \Omega\)
2.\(15~ \Omega\)
3. \(20~ \Omega\)
4. \(40~ \Omega\)
| 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). |