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Two spherical ideal black bodies of radii R1 and R2 are having surface temperature T1 and T2 respectively, if both radicate same power. Then calculate the ratio of T1/T2.

Asked by neel.purvesh123 28th November 2017, 12:26 PM
Answered by Expert
Answer:
Question:-
Two spherical ideal black bodies of radii R1 and R2 are having surface temperature T1 and T2 respectively if both radiate same power. Then calculate the ratio of T1/T2.
Answer:-
 
begin mathsize 20px style P o w e r space o f space b l a c k space b o d y space o n e space equals space P o w e r space o f space b l a c k space b o d y space t w o
space space
P o w e r space equals sigma A T to the power of 4

P subscript 1 equals P subscript 2

sigma A subscript 1 T subscript 1 to the power of 4 equals sigma A subscript 2 T subscript 2 to the power of 4

4 pi space r subscript 1 squared T subscript 1 to the power of 4 equals 4 pi space r subscript space 2 end subscript squared space T subscript 2 to the power of 4

r subscript 1 over r subscript 2 equals open parentheses T subscript 2 over T subscript 1 close parentheses squared

T subscript 2 over T subscript 1 equals square root of r subscript 1 over r subscript 2 end root


end style
Answered by Expert 29th November 2017, 11:30 AM
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