Two spherical bodies A (radius 6 cm) and B (radius 18 cm) are at temperature T 1 and T 2 respectively. The maximum intensity in the emission spectrum of A is at 500 nm and in that of B is at 1500 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?
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(9)
( λ m ) B = 3( λ m ) A
⇒ T A = 3T B
E 1 = 4 π (6) 2 σ T A 4 = 4 π (6) 2 (3T B ) 4
E 2 = 4 π (18) 2 σ T B 4
= 9.
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