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JEE Advanced Model Paper 16 with solutions for online practice
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© examsnet.com
Question : 27
Total: 69
A spherical black body has a radius R and steady surface temperature T, heat sourcesensure the heat evolution at a constant rate and distributed uniformly over its volume.What would be the new steady surface temperature of the object if the radius isdecreased by half ? Assume surrounding to be at absolute zero and heat evolution ratethrough unit volume remain same.
4
√
2
T
4
√
1
2
T
√
2
T
√
1
2
T
Validate
Solution:
Net heat getting generated in complete volume of sphere = rate of heat radiated by itssurface.
P
(
4
3
π
r
3
)
= σe
(
4
π
r
2
)
T
5
4
T
5
4
α r
T
′
T
=
(
1
2
)
1
∕
4
T' =
4
√
1
2
T
© examsnet.com
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