Q. No.The moment of inertia of a metallic rod of length \(L,\) about an axis passing through its centre-of-mass and perpendicular to the rod, is \(I_0.\) When the temperature is raised by \(\Delta\theta,\) it increases by \(\Delta I_0. \) The coefficient of linear expansion of the rod's material is:
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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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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