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Q. No.A closed container of water at \(30^\circ \text{C}\) is opened while on the surface of the moon. What will happen to the water?
| 1. | The water will boil. |
| 2. | The water will form a spherical ball. |
| 3. | The water will freeze. |
| 4. | The water will split (break down) into hydrogen and oxygen. |
Subtopic: Â Thermal Expansion |
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A metallic rod of length \(l\) (at \(0^\circ\text C\)) expands by \(\Delta l\) when its temperature is increased by \(100^\circ\text C.\) This rod is kept on a surface with its left end maintained at \(0^\circ\text C,\) and its right end at \(100^\circ\text C.\) The rod is insulated along its length, so heat can only be exchanged at the ends. The length of the rod is:
| 1. | \(l+\Delta l\) | 2. | \(l+\dfrac{\Delta l}{2}\) |
| 3. | \(l+\dfrac{\Delta l}{4}\) | 4. | \(l+\dfrac{3\Delta l}{4}\) |
Subtopic: Â Thermal Expansion |
From NCERT
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A glass vessel of volume \(V_0\) contains a liquid which fills \(20\%\) of its volume. When the temperature of the system is raised by \(10^\circ\text C,\) the volume of the unfilled portion is found to remain constant. If the coefficient of linear expansion of glass is \(\alpha,\) the coefficient of expansion of the liquid is:
| 1. | \(5 \alpha \) | 2. | \(\dfrac{3 \alpha}{5} \) |
| 3. | \(\dfrac{5 \alpha}{3} \) | 4. | \(15 \alpha\) |
Subtopic: Â Thermal Expansion |
From NCERT
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Two identical balls, \(A\) and \(B\) of uniform composition are initially at the same temperature, each absorbs exactly the same amount of heat. Ball \(A\) is hanging down from the ceiling by a massless inextensible thread while ball \(B\) rests on the horizontal floor in the same room. Assuming no subsequent heat loss by the balls, which of the following statements is correct about their final temperatures, \(T_A\) and \(T_B,\) once the balls have reached their final dimension?
1. \(T_A<T_B\)
2. \(T_A>T_B\)
3. \(T_A=T_B\)
4. \(T_A\leq T_B\)
Subtopic: Â Thermal Expansion |
From NCERT
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The thermal expansion of a solid is due to the:
| 1. | symmetric characteristic of the interatomic potential energy curve of the solid. |
| 2. | asymmetric characteristic of the interatomic potential energy curve of the solid. |
| 3. | double good nature of the interatomic potential energy curve of the solid. |
| 4. | rotational motion of the atoms of the solid. |
Subtopic: Â Thermal Expansion |
From NCERT
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A solid non-expanding tank contains air (at atm pressure \({\large p}_0~\&~0^{\circ}\text{C}\)) and mercury, the mercury filling half the tank. Let coefficient of expansion of mercury be \({\Large\gamma}_L.\) If the temperature is raised by \(\theta\) (a few degree Celsius) the pressure of air increases by (nearly)
| 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. | \(\Big({\Large\gamma}_L\theta+{\Large\frac{\theta}{273}}\Big){\large p}_0 \) |
Subtopic: Â Thermal Expansion |
From NCERT
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Two rods having coefficient of linear expansion \(\alpha,3\alpha\) are connected end-on-end. The average coefficient of thermal expansion for the composite rod:
| 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 \(3\alpha\) |
Subtopic: Â Thermal Expansion |
 53%
From NCERT
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Mercury, with a coefficient of thermal expansion \(\gamma\), is poured into a thin glass tube, which does not expand on heating. The length of the mercury column is \(L.\) If the temperature is raised by \(\theta,\) the new length of the mercury column will be:
| 1. | \(L(1+\gamma\theta)\) | 2. | \(L\left(1+\dfrac\gamma2\theta\right)\) |
| 3. | \(L\left(1+\dfrac\gamma3\theta\right)\) | 4. | \(L\left(1+\dfrac{2\gamma}3\theta\right)\) |
Subtopic: Â Thermal Expansion |
 58%
From NCERT
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A rod \(\mathrm{A}\) has a coefficient of thermal expansion \((\alpha_A)\) which is twice of that of rod \(\mathrm{B}\) \((\alpha_B)\). The two rods have length \(l_A,~l_B\) where \(l_A=2l_B\). If the two rods were joined end-to-end, the average coefficient of thermal expansion is:
| 1. | \(\alpha_A\) | 2. | \(\dfrac{2\alpha_A}{6}\) |
| 3. | \(\dfrac{4\alpha_A}{6}\) | 4. | \(\dfrac{5\alpha_A}{6}\) |
Subtopic: Â Thermal Expansion |
 60%
From NCERT
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The coefficient of linear expansion of the material of a wire \(A\) is \(\alpha,\) and that of the material of a wire \(B\) is \(2\alpha.\) The two wires are joined end-to-end. If the average coefficient of linear expansion of the composite wire is \(1.5\alpha,\) the lengths of the wires \(A,B\) are in the ratio:
1. \(1:1\)
2. \(2:1\)
3. \(1:2\)
4. \(3:1\)
1. \(1:1\)
2. \(2:1\)
3. \(1:2\)
4. \(3:1\)
Subtopic: Â Thermal Expansion |
 57%
From NCERT
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