A highly conducting solid sphere of radius `R` density `rho` and specific heat s is kept in an evacuted chamber. A parallel beam of thermal radiation of instensity I is incident on its surfcae Consider the sphere to be a perfectly black body and its temperature at certain instant considered at `t =0` is `T_(0)` [Take Stefan's constant as `sigma`] Answer the following questions based on above information
The maximum attainable temperature of the sphere is .

Explanation

At maximum temperature,
heat received by solid sphere from electromagnetic radiation `=` heat radiated by solid sphere
`IxxpiR^(2)=sigma(4piR^(2))(T_(max))^(4)`.
(`:.` Power received per second `(P_(abs))=` Intensity `(I)xx` Projection area of sphere)
`T_(max)=((I)/(4sigma))^(1//4)`