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Problem
Problem
In the relation
p
=
α
β
e
−
α
Z
k
θ
p = \frac{\alpha}{\beta} e^{-\frac{\alpha Z}{k\theta}}
p
=
β
α
e
−
k
θ
α
Z
,
p
p
p
is pressure,
Z
Z
Z
is distance,
k
k
k
is Boltzmann constant and
θ
\theta
θ
is the temperature. The dimensional formula of
β
\beta
β
will be (JEE 2004) a.
[
M
0
L
2
T
0
]
[M^0 L^2 T^0]
[
M
0
L
2
T
0
]
b.
[
M
L
2
T
]
[ML^2 T]
[
M
L
2
T
]
c.
[
M
L
0
T
−
1
]
[ML^0 T^{-1}]
[
M
L
0
T
−
1
]
d.
[
M
0
L
2
T
−
1
]
[M^0 L^2 T^{-1}]
[
M
0
L
2
T
−
1
]
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