Mercury having 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. \(L(1+\frac\gamma2\theta)\)
3. \(L(1+\frac\gamma3\theta)\)
4. \(L(1+\frac{2\gamma}3\theta)\)
Subtopic:  Thermal Expansion |
 58%
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The coefficient of linear expansion of brass and steel rods are \(\alpha_1\) and \(\alpha_2\). Lengths of brass and steel rods are \(L_1\) and \(L_2\) respectively. If \((L_2-L_1)\) remains the same at all temperatures, which one of the following relations holds good?
1. \(\alpha_1L_2^2=\alpha_2L_1^2\)
2. \(\alpha_1^2L_2=\alpha_2^2L_1\)
3. \(\alpha_1L_1=\alpha_2L_2\)
4. \(\alpha_1L_2=\alpha_2L_1\)

Subtopic:  Thermal Expansion |
 88%
From NCERT
NEET - 2016
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The coefficient of area expansion \(\beta\) of a rectangular sheet of a solid in terms of the coefficient of linear expansion \(\alpha\) is:
1. \(2\alpha\)
2. \(\alpha\)
3. \(3\alpha\)
4. \(\alpha^2\)

Subtopic:  Thermal Expansion |
 90%
From NCERT
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The density of water at \(20^\circ \text{C}\) is \(998\) kg/m3 and at \(40^\circ \text{C}\) is \(992\) kg/m3. The coefficient of volume expansion of water is: 
1. \(3 \times 10^{-4} / ^\circ\text C\)
2. \(2 \times 10^{-4} / ^\circ\text C\)
3. \(6 \times 10^{-4} / ^\circ\text C\)
4. \(10^{-4} / ^\circ\text C\)
Subtopic:  Thermal Expansion |
 72%
From NCERT
NEET - 2013
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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. \(\frac{2\alpha_A}{6}\)
3. \(\frac{4\alpha_A}{6}\)
4. \(\frac{5\alpha_A}{6}\)

Subtopic:  Thermal Expansion |
 64%
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The temperature of water at the surface of a deep lake is \(2^{\circ} \mathrm{C}\). The temperature expected at the bottom is:
1. \(0^{\circ} \mathrm{C}\)
2. \(2^{\circ} \mathrm{C}\)
3. \(4^{\circ} \mathrm{C}\)
4. \(6^{\circ} \mathrm{C}\)

Subtopic:  Thermal Expansion |
 64%
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