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Standard XII
Physics
Dimensional Analysis
Question
The dimensional formula for inductance is:
[
M
1
L
2
T
−
2
A
−
2
]
[
M
1
L
2
T
−
1
A
−
2
]
[
M
1
L
1
T
−
2
A
−
2
]
[
M
1
L
2
T
A
−
2
]
A
[
M
1
L
2
T
−
2
A
−
2
]
B
[
M
1
L
2
T
−
1
A
−
2
]
C
[
M
1
L
1
T
−
2
A
−
2
]
D
[
M
1
L
2
T
A
−
2
]
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Solution
Verified by Toppr
The correct option is
A
[
M
1
L
2
T
−
2
A
−
2
]
We know that energy stored in an inductor
=
1
2
L
I
2
Hence, dimensions of
1
2
L
I
2
are that of energy.
⟹
Dimensions of
1
2
L
I
2
=
[
M
1
L
2
T
−
2
]
⟹
Dimensions of
L
=
[
M
1
L
2
T
−
2
A
−
2
]
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M
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L
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