Read the following statements: A. When small temperature difference… | JEE Main 2022 (27 Jul, Shift 1)

Q17JEE Main 2022 · 27 JUL · SHIFT 1Medium

Newton's Law of Cooling

Read the following statements:

A. When small temperature difference between a liquid and its surrounding is doubled, the rate of loss of heat of the liquid becomes twice.

B. Two bodies $P$ and $Q$ having equal surface areas are maintained at temperature $10^\circ\text{C}$ and $20^\circ\text{C}$ . The thermal radiation emitted in a given time by $P$ and $Q$ are in the ratio $1 : 1.15$ . C. A Carnot Engine working between $100\text{ K}$ and $400\text{ K}$ has an efficiency of $75\%$ .

D. When small temperature difference between a liquid and its surrounding is quadrupled, the rate of loss of heat of the liquid becomes twice.

Choose the correct answer from the options given below:

Show answer and solution

Answer: (a)

A: Newton's law, rate $\propto \Delta T$ , so doubling $\Delta T$ doubles the rate. True.
B: $\frac{E_P}{E_Q} = \left(\frac{283}{293}\right)^4 \approx \frac{1}{1.15}$ . True.
C: $\eta = 1 - \frac{100}{400} = 0.75 = 75\%$ . True.
D: quadrupling $\Delta T$ makes the rate four times, not twice. False.
So the answer is (a) A, B, C only.

Report a mistake

Newton's Law of Cooling question from JEE Main 2022 (27 Jul, Shift 1)

More questions on Newton's Law of Cooling