Q. No.Two bodies \(A,B\) are maintained at temperatures \(\theta_A=100^\circ\text C\) and \(\theta_B=0^\circ\text C.\) Two thermally conducting rods \((P,~Q)\) of different conductivities and of different dimensions are connected between \(A\) and \(B.\) The conductivity of \(P\) is twice that of \(Q.\) The sides of the rods are insulated. If the mid-points of the two rods are connected to each other by a thin conducting wire (after equilibrium is reached),
1.
heat would flow from \(P\) to \(Q\).
2.
heat would flow from \(Q\) to \(P\).
3.
no flow of heat occurs between \(P\) & \(Q\).
4.
flow of heat may occur back and forth between \(P\) & \(Q,\) varying with time.
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1. \(12\) minutes
2. \(9\) minutes
3. \(8\) minutes
4. \(7\) minutes
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| 1. | \(a\) | 2. | \(b\) |
| 3. | \(c\) | 4. | \(d\) |
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1. \(T_1=T\)
2. \(T_1>T\)
3. \(T_1<T\)
4. any of the above may be true.
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| 1. | \({\Large\gamma}_L\theta\times{\large p}_0 ~\) |
| 2. | \({\Large\frac{\theta}{273}}{\large p}_0\) |
| 3. | \({\dfrac{{\Large\gamma}_L\theta}{273}}{\large p}_0\) |
| 4. | \(\Big({\Large\gamma}_L\theta+{\Large\frac{\theta}{273}}\Big){\large p}_0 \) |
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| 1. | \(\lambda_m\propto v \) | 2. | \(\lambda_m\propto \dfrac1v \) |
| 3. | \(\lambda_m\propto v^2 \) | 4. | \(\lambda_m\propto \dfrac1{v^2} \) |
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1. \(25^{\circ}\text{C}\)
2. \(20^{\circ}\text{C}\)
3. \(10^{\circ}\text C\)
4. \(35^{\circ}\text C\)
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| 1. | \(0.6\) | 2. | \(0.3\) |
| 3. | \(0.4\) | 4. | \(0.5\) |
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1. \(600^{\circ} \text{C}\)
2. \(620^{\circ} \text{C}\)
3. \(680^{\circ} \text{C}\)
4. \(520^{\circ} \text{C}\)
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| 1. | is \(2\alpha\) |
| 2. | is \(4\alpha\) |
| 3. | can be any value between \(\alpha\) and \(3\alpha\) |
| 4. | can be any value between \(2\alpha\) and \(3\alpha\) |
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