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:
1. | \(0^{\circ} \mathrm{C}\) | 2. | \(-8^{\circ} \mathrm{C}\) |
3. | \(-4^{\circ} \mathrm{C}\) | 4. | \(2^{\circ} \mathrm{C}\) |
If the same amount of heat is supplied to two spheres of the same material having the same radius (one is hollow and the other is solid), then:
1. | the expansion in hollow is greater than the expansion in solid |
2. | the expansion in hollow is the same as that in solid |
3. | the expansion in hollow is lesser than in solid |
4. | the temperature of both must be the same |
Two taps, one at \(10^{\circ} \mathrm{C}\) and the other at \(100^{\circ} \mathrm{C}\), both supply water. How much hot water must be mixed with the cold water so that we get 20 kg of water at \(35^{\circ} \mathrm{C}\)?
1. | 7.2 kg | 2. | 10 kg |
3. | 5.6 kg | 4. | 14.4 kg |
A ring consisting of two parts, \(ADB\) and \(ACB\), of the same heat conductivity \(k\), conducts an amount of heat \(H\). The \(ADB\) part is now replaced with another metal, keeping the temperatures \(T_1~\text{and}~T_2\) constant. The amount of heat carried rises to \(2H\). What should be the heat conductivity of the new \(ADB\) part? \(\left(\frac{ACB}{ADB}= 3\right)\)
1. \(\frac{7}{3}k\)
2. \(2k\)
3. \(\frac{5}{2}k\)
4. \(3k\)
A geyser heats water flowing at a rate of 3.0 litres per minute from \(27^{\circ} \mathrm{C}\) to \(77^{\circ}\mathrm{C}\). If the geyser operates on a gas burner and its heat of combustion is 4
1. | 24 g/min | 2. | 12 g/min |
3. | 32 g/min | 4. | 16 g/min |
When a uniform rod is heated, which of its following properties will increase as a result of it?
1. mass
2. weight
3. center of mass
4. moment of inertia
A bimetallic strip is shown in the figure. On cooling, which shape will it attain if
1. | 2. | ||
3. | 4. |
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
From the given heat and temperature graph of a substance, choose the correct statement:
1. | The latent heat of fusion is greater than the latent heat of vaporization. |
2. | The latent heat of vaporization is greater than the latent heat of fusion. |
3. | The specific heat in a solid state is more than the specific heat in a liquid state. |
4. | The specific heat in a liquid state is more than the specific heat in a solid state. |