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Standard XII
Physics
Dimensional Analysis
Question
If C is the capacity and V is the potential across the condenser, what will be the dimensional representation of
1
2
C
V
2
?
M
L
2
T
−
2
A
2
M
L
−
2
T
−
2
M
L
2
T
−
3
A
−
2
M
L
2
T
−
2
A
M
L
2
T
−
2
B
M
L
−
2
T
−
2
C
M
L
2
T
−
2
A
2
D
M
L
2
T
−
3
A
−
2
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Solution
Verified by Toppr
Let
X
be the quantity represented.
X
=
1
2
C
V
2
X
=
1
2
Q
V
×
V
2
X
=
1
2
Q
.
V
[
X
]
=
[
Q
]
[
V
]
=
[
I
T
]
[
M
L
2
T
−
3
I
−
1
]
=
[
M
L
2
T
−
2
]
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Similar Questions
Q1
If C is the capacity and V is the potential across the condenser, what will be the dimensional representation of
1
2
C
V
2
?
View Solution
Q2
Match the following two columns:
Column I
Column II
A.
Electrical resistance
1.
[
M
L
3
T
−
3
A
−
2
]
B.
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2.
[
M
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T
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3
A
−
2
]
C.
Specific resistance
3.
[
M
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T
−
3
A
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1
]
D.
Specific conductance
4.
None of these
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Q3
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L
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T
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is the dimensional formula for
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Q4
What is the dimensional formula of angular momentum
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?
L
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