A star behaves like a perfectly black bo...

A star behaves like a perfectly black body emitting radiant energy The ratio of radiant energy per second by this star to that emitted by another star having 8 times the radius of former, but having temperature, one-fourth that of the former in Kelvin is .

`1:4`

`1:16`

`4:1`

`16:1`

Text Solution

Verified by Experts

The correct Answer is:

`P =sigma AT^(4) rArr P =sigma4 pi R^(2)T^(4)`
`:.(P_(1))/(P_(2))=((R_(1))/(R_(2)))^(2)((T_(1))/(T_(2)))^(4)` .

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