A black body emits radiations of maximum intensity at wavelength of `5000Å` When the temperature of the body is `1227^(@)C`. If the temperature of the body is increased by `1000^(@)C`, the maximum intensity of emitted radiation would be observed at . . . . . . .

Options

A. `3000Å`
B. `4000Å`
C. `5000Å`
D. `6000Å`

Answer

A

Explanation

According to Wien.s displacement law,
`lamda_(m)T=` constant
`:.lamda_(m_(1))T_(1)=lamda_(m_(2))T_(2)`
`:.lamda_(m_(2))=lamda_(m_(1))xx(T_(1))/(T_(2))`
`lamda_(m_(1))=5000Å`
`T_(1)=1227^(@)C=1500K`
`T_(2)=2227^(@)C=2500K`
`lamda_(m_(2))=?`
`=5000xx(1500)/(2500)`
`:.lamda_(m_(2))=3000Å`