Q.

If the temperature and radius of Sun are doubled and the average distance of earth from the sun is also doubled then power received by earth will be

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a

4 times

b

8 times

c

16 times

d

2 times

answer is C.

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Detailed Solution

Power radiated from the surface of sun is given by Q=σ·4πRS2·T 4If r be the average distance of earth from the sun, then power received by earth is given by P=Q4πr2πRe2∴P∝RS2·T 4r 2⇒P1P=2RS2RS2·(2T)4T4(r)2(2r)2=16
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If the temperature and radius of Sun are doubled and the average distance of earth from the sun is also doubled then power received by earth will be