If a graph is plotted between temperature of a body on degree Celsius (along y-axis) and degree Fahrenheit [along 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. $\frac{5}{3}$

From the given heat and temperature graph of a substance, choose the correct statement:
 

The thermal conductivities of two identical rods are k and 2k, respectively. If they are joined in parallel, then the ratio of heat flowing through them per second will be:

1. 1:2

2. 2:1

3. 1:1

4. 4:1

A bimetallic strip is shown in the figure. On cooling, which shape will it attain if ${\mathrm{\alpha }}_{\mathrm{brass}}>{\mathrm{\alpha }}_{\mathrm{steel}}:$

1.		2.
3.		4.

Four rods of the same material with different radii r and length $\mathcal{l}$ are used to connect two heat reservoirs at different temperatures. In which of the following cases is the heat conduction fastest?

1. $r=\frac{1}{3}\mathrm{cm},$ $\mathcal{l}=\frac{1}{9}\mathrm{cm}$

2. r = 3 cm, $\mathcal{l}$ = 9 cm

3. r = 4 cm, $\mathcal{l}$ = 8 cm

4. r = 1 cm, $\mathcal{l}$ = 1 cm

Two rods \(\mathrm{P}\) and \(\mathrm{Q}\)  of equal length and having cross-sections \(A_P\)$\mathrm{ and}$ \(A_Q\) 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. \(k^2_PA_P = k^2_QA_Q\)

50 g of ice at \(0^{\circ} \mathrm{C}\) is dropped in a calorimeter of negligible heat capacity containing 50 g of water at \(100^{\circ} \mathrm{C}\)$\mathrm{}$\(100^{\circ} \mathrm{C}\), then the final temperature \((T_m)\) of the mixture will be: (neglect the heat loss)
1. \(10^{\circ} \mathrm{C}\)$\mathrm{}$

2. Below \(0^{\circ} \mathrm{C}\)$$

3. \(20^{\circ} \mathrm{C}\)$\mathrm{}$

4. Above \(20^{\circ} \mathrm{C}\)$\mathrm{}$

When the pressure on the surface of water is increased, its boiling point will:

1. Decrease

2. Increase

3. Remain same

4. Increase or decrease

Three rods made of the same material, having the same cross-sectional area but different lengths 10 cm, 20 cm and 30 cm are joined as shown. The temperature of the junction will be:-

   
1. \(10.8^{\circ}\mathrm{C}\)
2. \(14.6^{\circ}\mathrm{C}\)
3. \(16.4^{\circ}\mathrm{C}\)
4. \(18.2^{\circ}\mathrm{C}\)

5 g of water at \(30^{\circ} \mathrm{C}\) and 5 g of ice at \(-20^{\circ} \mathrm{C}\) are mixed together in a calorimeter. The water equivalent of the calorimeter is negligible, and the specific heat and latent heat of ice are 0.5 \(\text{cal/g}^{\circ} \mathrm{C}\) and 80 \(\text{cal/g}\), respectively. The final temperature of the mixture is: