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JEE Main Physics Class 11 Physical world and Measurements Part 1 Questions
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© examsnet.com
Question : 18
Total: 100
The entropy of any system is given by
S
=
α
2
β
ln
[
µ
k
R
J
β
2
+
3
]
where
α
and
beta
are the constants.
mu
,
J
,
k
and
R
are no. of moles, mechanical equivalent of heat, Boltzmann constant and gas constant respectively.
[
Take
S
=
d
Q
T
]
Choose the incorrect option from the following :
[20 Jul 2021 Shift 1]
α
and
J
have the same dimensions.
S
,
β
,
k
and
µ
R
have the same dimensions.
S
and
α
have different dimensions.
α
and
k
have the same dimensions.
Validate
Solution:
S
=
α
2
β
ln
(
µ
K
R
J
β
2
+
3
)
S
=
Q
T
=
joulek
/
k
[
α
2
β
]
=
Joule
/
k
P
V
=
n
R
T
[
µ
K
R
J
β
2
]
=
1
R
=
Joule
K
⇒
R
=
Joule
K
,
K
=
Joule
R
⇒
β
=
(
J
o
u
l
e
K
)
α
2
β
=
(
J
0
c
l
e
K
)
⇒
α
=
dimensionless
© examsnet.com
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