Q. No.1. \(100^\circ \text{C}\)
2. \(50^\circ \text{C}\)
3. \(80^\circ \text{C}\)
4. \(90^\circ \text{C}\)
[given \(1\text{ cal}=4.2\text { J}\) and specific heat of water = \(1\text{ cal}=4.2\text { g}^{-1}~^\circ \text C^{-1}\)]
1. \(0.147^{\circ}\text{C} \)
2. \(14.76^{\circ}\text{C} \)
3. \(1.476^{\circ}\text{C} \)
4. \(0.014^{\circ}\text{C} \)
| 1. | \(40~\text K\) | 2. | \(110^{\circ} \text {C}\) |
| 3. | \(310~\text K\) | 4. | \(560~\text K\) |
On a new scale of temperature (which is linear) and called the \(\text W\) scale, the freezing and boiling points of water are \(39^{\circ}\text{ W}\) and \(239^{\circ}\text{ W}\) respectively. What will be the temperature on the new scale, corresponding to a temperature of
1. \(78^{\circ}\text{ W}\)
2. \(117^{\circ}\text{ W}\)
3. \(200^{\circ}\text{ W}\)
4. \(139^{\circ}\text{ W}\)
| 1. | \(20^\circ\text C\) | 2. | \(80^\circ\text C\) |
| 3. | \(120^\circ\text C\) | 4. | \(-20^\circ\text C\) |
A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is :
1. 68 cm
2. 6.8 cm
3. 113.9 cm
4. 88 cm
1. \(26\text{ cm}\)
2. \(60\text{ cm}\)
3. \(80\text{ cm}\)
4. \(32\text{ cm}\)
1. \(4^{\circ}\text{C}\)
2. \(10^{\circ}\text{C}\)
3. \(15.5^{\circ}\text{C}\)
4. \(100^{\circ}\text{C}\)
Two different wires having lengths \(L_1\) and \(L_2, \) and respective temperature coefficient of linear expansion \(\alpha_1\) and \(\alpha _2, \) are joined end-to-end. Then the effective temperature coefficient of linear expansion is:
1. \( 4 \dfrac{\alpha_1 \alpha_2}{\alpha_1+\alpha_2} \dfrac{L_2 L_1}{\left(L_2+L_1\right)^2} \)
2. \( 2 \sqrt{\alpha_1 \alpha_2} \)
3. \( \dfrac{\alpha_1+\alpha_2}{2} \)
4. \( \dfrac{\alpha_1 L_1+\alpha_2 L_2}{L_1+L_2}\)
| 1. | \(2.5~\text{cm}\) | 2. | \(0.5~\text{cm}\) |
| 3. | \(7.5~\text{cm}\) | 4. | \(10~\text{cm}\) |
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