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CGPET 2012 Solved Paper

Section: Physics

Question : 23 of 150

Marks: +1, -0

Solution:

Newton's law of cooling is a special case of Stefan's law.

Stefan's law "The energy of thermal radiation emitted per unit time by a black body of surface area

A

is given by

u = \sigma A T^{4}

and from this equation Newton derived

\; \frac{dT}{dt} = -b A (T-T_0) \;\; ( T = \; \text{ temperature } \; )

\;\;\; \frac{d\theta}{dt} = -k (\theta - \theta_0)

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