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Standard XII
Physics
Dimensional Analysis
Question
The physical quantity having the dimensions
[
M
−
1
L
−
3
T
3
A
2
]
is
resistivity
resistance
electric cunductivity
electromotive force
A
resistance
B
resistivity
C
electromotive force
D
electric cunductivity
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Solution
Verified by Toppr
Explanation:-
We know that,
Resistivity,
ρ
=
m
n
e
2
t
⇒
ρ
=
[
M
]
[
L
−
3
]
[
A
T
]
2
[
T
]
⇒
ρ
=
[
M
L
3
A
−
2
T
−
3
]
Now,
Electrical conductivity,
σ
=
1
ρ
⇒
σ
=
1
[
M
L
3
A
−
2
T
−
3
]
⇒
σ
=
[
M
−
1
L
−
3
A
2
T
3
]
Hence the correct option is C
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