A cube, which may be regarded as a perfectly black body, radiates heat at the rate of 2770.2 watt when its temperature is `27^(@)C`. The volume of the cube is `(sigma=5.7xx10^(8)J//m^(2)" s "K^(4))`

Options

A. `10^(-2)m^(3)`
B. `100m^(3)`
C. `1m^(3)`
D. `10^(3)m^(3)`

Answer

C

Explanation

`(dQ)/(dt)=sigmaAT^(4)`
`therefore A=(dQ)/(dt)//rT^(4)`
`6l^(2)=6`
`l^(2)=1`
`V=l^(3)=1m^(3)`