If the temperature of the sun were to be increased from $T$ to $2T$ and its radius from $R$ to $2R$ , then the ratio of the radiant energy received on the earth to what it was previously will be
AIEEE 2004,AIIMS 2014, Medium
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(d) $Q \propto {r^2}{T^4}$
==> $\frac{{{Q_2}}}{{{Q_1}}} = {\left( {\frac{{{r_2}}}{{{r_1}}}} \right)^2} \times {\left( {\frac{{{T_2}}}{{{T_1}}}} \right)^4} = {(2)^2} \times {(2)^4} = 64$
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