On a new scale of temperature, which is linear and called the $$\mathrm{W}$$ scale, the freezing and boiling points of water are $$39^\circ ~\mathrm{W}$$and $$239^\circ ~\mathrm{W}$$ respectively. What will be the temperature on the new scale corresponding to a temperature of $$39^\circ ~\mathrm{C}$$ on the Celsius scale?
1. $$78^\circ ~\mathrm{C}$$
2. $$117^\circ ~\mathrm{W}$$
3. $$200^\circ ~\mathrm{W}$$
4. $$139^\circ ~\mathrm{W}$$

Subtopic:  Temperature and Heat |
84%
From NCERT
AIPMT - 2008
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Two absolute scales $$A$$ and $$B,$$ have triple points of water defined to be $$200 A$$ and $$350 B$$. The relationship between $$T_A$$ and $$T_B$$:
1. $$T_A = {5 \over 7}T_B$$
2. $$T_A = { 4 \over 7}T_B$$
3. $$T_A = { 6 \over 7}T_B$$
4. $$T_A = T_B$$
Subtopic:  Temperature and Heat |
73%
From NCERT
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The temperature of a body on the Kelvin scale is found to be x K. When it is measured by a Fahrenheit thermometer, it is found to be x$°$F, then the value of x is:
1. 40

2. 313

3. 574.25

4. 301.25

Subtopic:  Temperature and Heat |
72%
From NCERT
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The value of the coefficient of volume expansion of glycerin is $$5\times10^{-4}$$ K-1. The fractional change in the density of glycerin for a temperature increase of $$40^\circ \mathrm{C}$$ will be:

 1 $$0.015$$ 2 $$0.020$$ 3 $$0.025$$ 4 $$0.010$$
Subtopic:  Thermal Expansion |
82%
From NCERT
NEET - 2015
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The coefficients of linear expansion of brass and steel rods are α1 and α2, lengths of brass and steel rods are l1 and l2 respectively. If (l2 - l1) is maintained the same at all temperatures, Which one of the following relations holds good?

1. α1l22 = α2l12

2. α12l= α22l1

3. α1l= α2l2

4. α1l= α2l1

Subtopic:  Thermal Expansion |
83%
From NCERT
NEET - 2016
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A copper rod of $$88$$ cm and an aluminium rod of an unknown length have an equal increase in their lengths independent of an increase in temperature. The length of the aluminium rod is:
$$\left(\alpha_{Cu}= 1.7\times10^{-5}~\text{K}^{-1}~\text{and}~\alpha_{Al}= 2.2\times10^{-5}~\text{K}^{-1}\right)$$
1. $$68~\text{cm}$$
2. $$6.8~\text{cm}$$
3. $$113.9~\text{cm}$$
4. $$88~\text{cm}$$

Subtopic:  Thermal Expansion |
76%
From NCERT
NEET - 2019
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A pendulum clock runs faster by 5 seconds per day at $$20^{\circ}\mathrm {C}$$ and goes slow by 10 second per day at $$35^{\circ}\mathrm {C}$$. It shows the correct time at a temperature of:
1. $$27.5^{\circ}\mathrm {C}$$
2. $$25^{\circ}\mathrm {C}$$
3. $$30^{\circ}\mathrm {C}$$
4. $$33^{\circ}\mathrm {C}$$

Subtopic:  Thermal Expansion |
66%
From NCERT
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Two rods, one made of aluminium and the other made of steel, having initial lengths $$l_1$$ and $$l_2$$ are connected together to form a single rod of length ${l}_{1}+{l}_{2}$. The coefficient of linear expansion for aluminium and steel are ${\alpha }_{a}$ and ${\alpha }_{s}$ respectively. If the length of each rod increases by the same amount when their temperature is raised by $$t^\circ \mathrm{C},$$ then the ratio $$\frac{l_1}{l_1+l_2}$$ is:
1. $\frac{{\alpha }_{s}}{{\alpha }_{a}}$

2. $\frac{{\alpha }_{a}}{{\alpha }_{s}}$

3. $\frac{{\alpha }_{a}}{{\alpha }_{a}+{\alpha }_{s}}$

4. $\frac{{\alpha }_{s}}{{\alpha }_{a}+{\alpha }_{s}}$

Subtopic:  Thermal Expansion |
59%
From NCERT
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The diagram shows a bimetallic strip used as a thermostat in a circuit. Copper expands more than Invar for the same temperature rise.

What will be switched on when the bimetallic strip becomes hot?

 1 bell only 2 lamp and bell only 3 motor and bell only 4 lamp, bell, and motor

Subtopic:  Thermal Expansion |
From NCERT
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A metal bar of length $$L$$ and area of cross-section $$A$$ is clamped between two rigid supports. For the material of the rod, its Young’s modulus is $$Y$$ and the coefficient of linear expansion is $$\alpha$$. If the temperature of the rod is increased by $$\Delta t^{\circ} \mathrm{C}$$, the force exerted by the rod on the supports will be:
1. $$YAL\Delta t$$
2. $$YA\alpha\Delta t$$
3. $$\frac{YL\alpha\Delta t}{A}$$
4. $$Y\alpha AL\Delta t$$

Subtopic:  Thermal Stress |
81%
From NCERT
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