| 1. | density gradient |
| 2. | temperature gradient |
| 3. | velocity gradient |
| 4. | none of these |
The two ends of a rod of length L and a uniform cross-sectional area A are kept at two temperatures T1 and T2 (T1> T2). The rate of heat transfer through the rod in a steady state is given by:
1.
2.
3.
4.
Equal temperature differences exist between the ends of two metallic rods 1 and 2 of equal lengths. Their thermal conductivities are K1 and K2 and their areas of the cross-section are A1 and A2 respectively. The condition of equal rate of heat transfer is:
1. K1A2 = K2A1
2. K1A1 = K2A2
3.
4.

| Assertion (A): | Thermal conduction occurs only in the presence of a temperature gradient. |
| Reason (R): | In the absence of a temperature gradient (i.e., no temperature difference in space), thermal energy – which is transferred due to molecular (or particle) collisions, cannot be transferred in any particular direction. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
| 1. | \(45^\circ \text{C}\) | 2. | \(60^\circ \text{C}\) |
| 3. | \(30^\circ \text{C}\) | 4. | \(20^\circ \text{C}\) |
Which of the following circular rods, (given radius \(r\) and length \(l\)) each made of the same material and whose ends are maintained at the same temperature will conduct the most heat:
| 1. | \(r=2r_0;~l=2l_0\) |
| 2. | \(r=2r_0;~l=l_0\) |
| 3. | \(r=r_0;~l=2l_0\) |
| 4. | \(r=r_0;~l=l_0\) |
The thermal conductivity of a rod depends on
1. length
2. mass
3. area of cross section
4. material of the rod.

| Assertion (A): | When the temperature difference across the two sides of a wall is increased, its thermal conductivity remains constant. |
| Reason (R): | Thermal conductivity depends on nature of the material of the wall. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |