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JEE Main 2014 Physics question

PhysicsThermal Properties of MatterJEE Main 2014

A hot body, obeying Newton's law of cooling is cooling down from its peak value 80 °C to an ambient temperature of 30 °C. It takes 5 minutes in cooling down from 80 °C to 40 °C. How much time will it take to cool down from 62 °C to 32 °C ? (Given ln 2 = 0.693, ln 5 = 1.609)

Answer: (2)

Solution

Newton's law gives . From the first stage, , so $k =

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Question ID VK-104445