Q. No.When the temperature difference between a body and its surroundings is \(20^{\circ}\text{C}\), it loses heat to the surroundings at a rate of \(40\) W. If the temperature difference increases to \(25^{\circ}\text{C}\), the rate of loss of heat is:
1. \(45\) W
2. \(50\) W
3. \(60\) W
4. \(80\) W
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| 1. | straight line with positive slope. |
| 2. | straight line with negative slope. |
| 3. | exponentially decaying curve. |
| 4. | parabola. |
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The first liquid has a mass flow rate \(\left(\dfrac{dm}{dt}\right)=r_1,\) and its temperature rises by \(\Delta\theta_1.\) For the second liquid, the flow rate \(\left(\dfrac{dm}{dt}\right)=r_2,\) and the temperature fall is \(\Delta\theta_2.\) The ratio of their specific heat capacities is:
| 1. | \(\dfrac{\Delta\theta_1}{\Delta\theta_2}\) | 2. | \(\dfrac{r_1}{r_2}\) |
| 3. | \(\dfrac{r_2\Delta\theta_2}{r_1\Delta\theta_1}\) | 4. | \(\dfrac{r_2\Delta\theta_1}{r_1\Delta\theta_2}\) |
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| 1. | \(\left(\dfrac{\Delta I_0}{I_0}\right)\dfrac{1}{\Delta\theta}\) |
| 2. | \(\dfrac12\left(\dfrac{\Delta I_0}{I_0}\right)\dfrac{1}{\Delta\theta}\) |
| 3. | \(\dfrac15\left(\dfrac{\Delta I_0}{I_0}\right)\dfrac{1}{\Delta\theta}\) |
| 4. | \(2\left(\dfrac{\Delta I_0}{I_0}\right)\dfrac{1}{\Delta\theta}\) |
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| 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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