A black body radiates heat at temperatures `T_(1)` and `T_(2) (T_(2) gt T_(1)` the frequency corresponding to maxium energy is

Options

A. more at `T_(1)`
B. more ar `T_(2)`
C. equal for ` T_(1)andT_(2)`
D. independent of `T_(1)andT_(2)`

Answer

B

Explanation

Energy radiated by the bodies are
`E_(1)=sigmaAT_(1)^(4)and E_(2)=sigmaAT_(2)^(4)`
`rArr" " (E_(2))/(E_(1))=((T_(2))/(T_(1)))gt1" " (becauseT_(2)gtT_(1))`
`rArr" " E_(2)gtE_(1)" or "hv_(2)gthv_(1)`
`"or " v_(2)gtv_(2)`
Thus,m frequency corresponding to `T_(2)` is more.