A space object has the shape of a sphere of radius R. Heat sources ensure that the heat evolution at a constant rate is distributed uniformly over its volume. The amount of heat liberated by an unit surface area is proportional to the fourth power of thermodynamic temperature. In what proportion would the temperature of the object change if its radius is decreased to half?
Text Solution
Verified by ExpertsThe correct answer is:
C
Heat liberated 
and also 
Or 
Thus 
Or 
or 
That is, temperature decreases by a factor of 1.19.
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