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Standard XII
Chemistry
Units and Dimensions
Question
In the relation,
p
=
α
β
e
−
α
Z
k
θ
P
is pressure,
Z
is distance,
k
is Boltzmann's constant and
θ
is the temperature. The dimensional formula of
α
will be:
[
M
L
2
T
]
[
M
L
T
−
2
]
[
M
L
0
T
−
1
]
[
M
0
L
2
T
−
1
]
A
[
M
L
T
−
2
]
B
[
M
L
2
T
]
C
[
M
L
0
T
−
1
]
D
[
M
0
L
2
T
−
1
]
Open in App
Solution
Verified by Toppr
The correct option is
A
[
M
L
T
−
2
]
In the given equation
α
Z
k
θ
is dimensionless.
α
=
k
θ
Z
⇒
[
α
]
=
[
M
L
2
T
−
2
k
−
1
×
k
]
[
L
]
=
[
M
L
T
−
2
]
Hence, the correct option is
A
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β
e
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α
Z
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θ
P
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α
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