What is the ratio of the temperatures ${\mathrm{}}_{}$\(T_{1}\) and \(T_{2}\) in the following graph?

          

1. \(3:2\)
2. \(2:1\)
3. \(4:3\)
4. \(1:1\)

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. \(k^2_PA_P = k^2_QA_Q\)

Four rods of the same material with different radii \(r\) and the length \(l\) are used to connect two heat reservoirs at different temperatures. In which of the following cases is the heat conduction fastest?
1. \(r = \frac{1}{3}~\text{cm}, l = \frac{1}{9}~\text{cm}\)
2. \(r =3~\text{cm}, l =9~\text{cm}\)
3. \(r =4~\text{cm}, l =8~\text{cm}\)
4. \(r =1~\text{cm}, l =1~\text{cm}\)

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. \(\frac{5}{3}\)

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.

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

2. Below \(0^{\circ}\text{C}\)$$

3. \(20^{\circ}\text{C}\)$\mathrm{}$

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

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

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. \(18.2^{\circ}\mathrm{C}\)