A body cools from 60°C to 40°C in 6 minutes. If temperature of surroundings is 10°C, then after the next 6 minutes, its temperature will be ____ °C.
Physics · Circular Motion
JEE Mains 29 January 2023 Shift 1 Morning Shift

Question

A body cools from 60°C to 40°C in 6 minutes. If temperature of surroundings is 10°C, then after the next 6 minutes, its temperature will be ____ °C.

G1 Physics · Accepted Answer

Using the average form of Newton’s law of cooling for equal time intervals: first rate = 20/6 and average excess temperature = [(60+40)/2]−10 = 40. For the next interval, (40−T)/6 divided by [(40+T)/2−10] must be the same. Solving gives T = 28°C.