Q.

A star behaves like perfect Black body emitting radiant energy. The ratio of radiant energy emitted per sec by this star to that emitted by another star having 8 times the radius of the former but having Kelvin temperature one fourth of the former is

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a

1:4

b

1:8

c

4:1

d

1:16

answer is C.

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Detailed Solution

P=σAT4⇒P=σ4πR2T4∴P2P1=R2R12T2T14
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A star behaves like perfect Black body emitting radiant energy. The ratio of radiant energy emitted per sec by this star to that emitted by another star having 8 times the radius of the former but having Kelvin temperature one fourth of the former is