Please be patient as the PDF generation may take up to a minute.

1.

If a graph is plotted between the temperature of a body in degrees Celsius (along the \(\mathrm{y}\)-axis) and Fahrenheit (along the \(\mathrm{x}\)-axis) at different temperatures, then the slope of the graph will be:
1. \(\frac{5}{9}\)
2. \(\frac{9}{5}\)
3. \(\frac{3}{5}\)
4. \(\frac{5}{3}\)

2.

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.	\(0.010\)

3.

A metal bar of length \(L\) and area of cross-section \(A\) is clamped between two rigid supports. For the material of the rod, it's Young’s modulus is \(Y\) and the coefficient of linear expansion is \(\alpha.\) If the temperature of the rod is increased by \(\Delta t^{\circ} \text{C},\) 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. \(Y\alpha AL\Delta t\)

4.

A piece of ice falls from a height \(h\) so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice, and all energy of ice gets converted into heat during its fall. The value of \(h\) is: (Latent heat of ice is \(3.4\times10^5\) J/kg and \(g=10\) N/kg)

1.	\(544\) km	2.	\(136\) km
3.	\(68\)  km	4.	\(34\) km

5.

Two rods \(\mathrm{P}\) and \(\mathrm{Q}\)  of equal length and having cross-sections \(A_P\)$\mathrm{<mspace\; width="1em"></mspace>and}$ \(A_Q\) respectively, have the same temperature difference across their ends. If \(k_P\) $\mathrm{and}$ \(k_Q\) are their thermal conductivities, then the condition for their equal rate of conduction of heat will be:
1. \(k_PA_P = k_QA_Q\)
2. \(\frac{\sqrt{k_P}}{A_P} - \frac{\sqrt{k_Q}}{A_Q}\)
3. \(k_PA_Q = k_QA_P\)
4. \(k^2_PA_P = k^2_QA_Q\)

6.

Air is a bad conductor of heat or partly conducts heat. Still, a vacuum is to be placed between the walls of the thermos flask because:

1.	it is difficult to fill the air between the walls of the thermos flask.
2.	due to more pressure of air, the thermos can get cracks.
3.	by convection, heat can flow through the air.
4.	on filling the air, there is no advantage.

7. A spherical black body with a radius of \(12~\text{cm}\) radiates \(450~\text W\) power at \(500~\text K.\) If the radius were halved and the temperature is doubled, the power radiated in watts would be:
1. \(450\)
2. \(1000\)
3. \(1800\)
4. \(225\)

8.

A black body maintained at \(200~\text{K}\) emits maximum radiation at a wavelength of \(14~\mu \text{m}.\) If its temperature is increased to \(1000~\text{K},\) at what wavelength will the maximum radiation now be emitted?
1. \(14~\mu\text{m}\)
2. \(70~\mu\text{m}\)
3. \(2.8~\mu\text{m}\)
4. \(2.8~\text{nm}\)

9.

If the temperature of the body is increased from \(-73^{\circ}\mathrm{C}\)$\mathrm{}$ to \(327^{\circ}\mathrm{C}\)$\mathrm{}$, then the ratio of energy emitted per second in both cases is:
1. 1 : 3                         
2. 1 : 81
3. 1 : 27                       
4. 1 : 9

10.

A block of metal is heated to a temperature much higher than the room temperature and allowed to cool in a room free from air currents. Which of the following curves correctly represents the rate of cooling?

1.		2.
3.		4.