Two perfectly black spheres A and B having radii 8 cm and 2 cm are maintained at temperatures 127oC and 527oC respectively. The ratio of the energy radiated by A to that by B is

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1 : 2

1 : 1

2 : 1

1 : 4

answer is B.

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Detailed Solution

Rate of energy radiation Q=σAT4=σ4πR2T4∴ QAQB=RARB2TATB4=822.4008004=16116=1

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