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Question

Two spheres of the same material have radii 1m and 4m and temperature 4000K and 2000K respectively. The energy radiated per second by the first sphere is :
  1. greater than that of the second
  2. less than that of the second
  3. equal in both cases
  4. the information is incomplete to draw any conclusion

A
equal in both cases
B
less than that of the second
C
greater than that of the second
D
the information is incomplete to draw any conclusion
Solution
Verified by Toppr

By Stefan's Law:
Power =σAeT4
e is same for both the bodies. σ is known as Stefan's constant
P1P2=A1T41A2T42
A1A2=r21r22=116
T41T42=161

By the above equations we get: P1=P2

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