Two solid spheres of radii `R_(1)` and `R_(2)` are made of the same material and have similar surfaces. These are raised to the same temperature and then allowed to cool under identical conditions. The ratio of their initial rates of loss of heat are

Options

A. `R_(1)//R_(2)`
B. `R_(2)//R_(1)`
C. `(R_(1)^(2))/(R_(2)^(2))`
D. `(R_(2)^(2))/(R_(1)^(2))`

Answer

C

Explanation

`(R_(1))/(R_(2))=(A_(1))/(A_(2))=(4pir_(1)^(2))/(4pir^(2))=((r_(2))/(r_(1)))^(2)`