A brass wire \(1.8\) m long at \(27\) °C is held taut with a little tension between two rigid supports. If the wire is cooled to a temperature of\(-39\) °C, what is the tension created in a wire with a diameter of \(2.0\) mm? (coefficient of linear expansion of brass \(=2.0 \times10^{-5}\) K-1, Young's modulus of brass\(=0.91 \times10^{11}\) Pa)
1. \(3.8 \times 10^3\) N
2. \(3.8 \times 10^2\) N
3. \(2.9 \times 10^{-2}\) N
4. \(2.9 \times 10^{2}\) N

Subtopic:  Thermal Stress |
 67%
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The triple points of neon and carbon dioxide are \(24.57\) K and \(216.55\) K respectively. The value of these temperatures on Fahrenheit scales will be: 

1. \(-415.44^\circ ~\mathrm{F} ,~-69.88^\circ ~\mathrm{F}\)
2. \(-248.58^\circ ~\mathrm{F} ,~-56.60^\circ~ \mathrm{F}\)
3. \(315.44^\circ ~\mathrm{F} ,~-69.88^\circ ~\mathrm{F}\)
4. \(415.44^\circ ~\mathrm{F} ,~-79.88^\circ~ \mathrm{F}\)

Subtopic:  Temperature and Heat |
 66%
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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%
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When \(0.15\) kg of ice at \(0^\circ \text{C}\) is mixed with \(0.30\) kg of water at \(50^\circ \text{C}\) in a container, the resulting temperature is \(6.7^\circ \text{C}.\)
The heat of fusion of ice is: (\(S_{\text{water}}=4186\) J kg-1 K-1)
1. \( 3.43 \times 10^4\) Jkg-1
2. \( 3.34 \times 10^4\) Jkg-1
3. \( 3.34 \times 10^5\) Jkg-1
4. \(4.34 \times 10^5\) Jkg-1

Subtopic:  Calorimetry |
 57%
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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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The specific heat capacity of a body depends on:
 
1. the heat given
2. the temperature raised
3. the mass of the body
4. the material of the body
Subtopic:  Calorimetry |
 74%
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In a room containing air, heat can go from one place to another:

1. by conduction only
2. by convection only
3. by radiation only
4. by all three modes

Subtopic:  Convection |
 62%
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A solid at temperature T1, is kept in an evacuated chamber at temperature T2 > T1 . The rate of increase of temperature of the body is proportional to

1. T2 – T1

2.   \(T^2_2 -T^2_1\)n

3.   \(T^3_2 -T^3_1\)

4.   \(T^4_2 -T^4_1\)

Subtopic:  Stefan-Boltzmann Law |
 80%
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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 |
 61%
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The ice-point reading on a thermometer scale is found to be \(20^\circ,\) while the steam point is found to be \(70^\circ.\) When this thermometer reads \(100^\circ ,\) the actual temperature is:
1. \(80^\circ~\mathrm{C}\)
2. \(130^\circ~\mathrm{C}\)
3. \(160^\circ~\mathrm{C}\)
4. \(200^\circ~\mathrm{C}\)

Subtopic:  Temperature and Heat |
 78%
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