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Q.

In solar radiation, the intensity of radiation is maximum around the wavelength λ .  If R is the radius of the sun and c is the velocity of light, the mass lost by the sun per second is proportional to

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a

R2λ4c2

b

R2λ2c2

c

R3λ4c3

d

R3λ4c2

answer is A.

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Detailed Solution

According Stefan’s lawQt=σ4πR2T4=mc2Where m is the mas converted to energy per sec. but  λmT=constantT∝1λm=σ4πR2T4c2∝R2λ4c2
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In solar radiation, the intensity of radiation is maximum around the wavelength λ .  If R is the radius of the sun and c is the velocity of light, the mass lost by the sun per second is proportional to