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Byju's Answer
Standard XII
Physics
Dimensional Analysis
In the ideal ...
Question
In the ideal gas equation
P
V
=
n
R
T
, dimensional formula of
R
is
A
[
M
L
2
T
−
2
K
−
1
m
o
l
−
1
]
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B
[
M
L
2
K
m
o
l
]
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C
[
L
2
T
−
1
K
−
1
m
o
l
]
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D
[
M
2
L
2
T
−
2
K
−
2
m
o
l
−
1
]
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Solution
The correct option is
A
[
M
L
2
T
−
2
K
−
1
m
o
l
−
1
]
P
V
=
n
R
T
⇒
F
A
.
V
=
n
R
T
[
M
L
T
−
2
]
L
2
L
3
=
[
m
o
l
]
R
[
K
1
]
⇒
R
=
[
M
L
2
T
−
2
K
−
1
m
o
l
−
1
]
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