If the temperature of the sun were to increase from $T$ to $2 T$ and its radius from $R$ to $2 R$, then the…

If the temperature of the sun were to increase from $T$ to $2 T$ and its radius from $R$ to $2 R$, then the ratio of the radiant energy received on earth to what it was previously will be
  1. 4
  2. 16
  3. 32
  4. 64

Solution

According to stefan's law, $P \propto A T^4$ and $A \propto r^2$ $P \propto r^2 T^4$

Asked in: JEE Main 2004

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