Two spherical bodies \( A \) (radius \( 6 \mathrm{~cm} \) ) and \( B \) (radius \( 18 \mathrm{~c...

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Two spherical bodies \( A \) (radius \( 6 \mathrm{~cm} \) ) and \( B \) (radius \( 18 \mathrm{~cm} \) ) are at temperature \( T_{1} \) and \( T_{2} \), respectively. The maximum intensity in the emission spectrum of \( A \) is at \( 500 \mathrm{~nm} \) and in that of \( B \) is at \( 1500 \mathrm{~nm} \). Considering them to be black bodies, what will be the ratio of the rate of total energy radiated by \( A \) to that of \( B \) ?
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