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JEE Main Physics Class 11 Thermodynamics Part 1 Questions
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© examsnet.com
Question : 62
Total: 100
Consider a spherical shell of radius
R
at temperature
T
. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume
u
=
U
V
∝
T
4
and pressure
p
=
1
3
(
U
V
)
. If the shell now undergoes an adiabatic expansion the relation between
T
and
R
is:
[2015]
T
∝
1
R
T
∝
1
R
3
T
∝
e
−
R
T
∝
e
−
3
R
Validate
Solution:
As,
P
=
1
3
(
U
V
)
But
U
V
=
K
T
4
So,
P
=
1
3
K
T
4
or
u
R
T
V
=
1
3
K
T
4
[
As
P
V
=
u
R
T
]
4
3
p
R
3
T
3
=
constant
Therefore,
T
∝
1
R
© examsnet.com
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