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Physics Transmission of Heat JEE (Main) / AIEEE Problems (Previous Years) MCQ (Single Correct)

If a piece of metal is heated to temperature θ and then allowed to cool in a room which is at temperature θ 0 , the graph between the temperature T of the metal and time t will be closest to:

A
B
C
D

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The correct answer is:
C

According to Newton's law of cooling, the rate of loss of heat is directly proportional to the difference oi temperature of the body and surroundings.

From Eqs. (i) and (ii), we get

On integrating, we get

This variation is correctly represented in option .

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