The temperature of a body in increased from `27^(@)C` to `127^(@)C`. By what factor would the radiation emitted by it increase?

Options

A. `(256)/(81)`
B. `(15)/(9)`
C. `(4)/(5)`
D. `(12)/(27)`

Answer

A

Explanation

As we use
`P_(1)/(P_(2))=(27+273)^(4)/(127+273)^(4)=(300)^(4)/(400)^(4)`
`implies P_(1)/(P_(2))=(81)/(256)`
`implies P_(1)/(P_(2))=(256)/(81)`