A spherical black body of radius
radiates power
, and its rate of cooling is R.
Text Solution
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From the above question, we are given that the radius of the spherical block is
and it is radiating the power is P.
We are asked to find the rate of cooling of the black body.
We will find the expression of power which varies according to the area of the sphere and the radius of the square.
The power of the body which radiates is directly proportional to area

We know that the relationship between power and rate of change of temperature etc, by the following expression, as given by

Substitute the value of
and
in the above equation

Substitute the values of m and C in the above equation

Therefore rate of fall in temperature is given by

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