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Byju's Answer
Standard XII
Mathematics
Infinite GP
The dimension...
Question
The dimensions of self inductance are
A
[
M
L
T
−
2
A
−
2
]
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B
[
M
L
2
T
−
1
A
−
2
]
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C
[
M
L
2
T
−
2
A
−
2
]
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D
[
M
L
2
T
−
1
A
−
1
]
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Solution
The correct option is
C
[
M
L
2
T
−
2
A
−
2
]
U
=
1
2
L
i
2
∴
[
L
]
=
[
U
i
2
]
=
[
M
L
2
T
−
2
A
2
]
=
[
M
L
2
T
−
2
A
−
2
]
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2
Similar questions
Q.
Match the physical quantities given in Column I with suitable dimensions expressed in Column
II.
Column I
Column II
a) Angular momentum
1)
M
−
1
L
3
T
−
2
b) Torque
2)
M
L
T
−
2
c) Gravitational constant
3)
M
L
2
T
−
2
d) Tension
4)
M
L
2
T
−
1
Q.
Match the following physical quantities with their respective dimensional formula:
(a) Angular Momentum
(e)
[
M
L
2
T
−
3
]
(b) Impulse
(f)
[
M
L
2
T
−
1
]
(c) Pressure
(g)
[
M
L
T
−
1
]
(d) Power
(h)
[
M
L
−
1
T
−
2
]
Q.
Match the physical quantities given in Column I with suitable dimensions expressed in Column
II.
Column I
Column II
a) Angular momentum
g)
M
L
2
T
−
2
b) Latent heat
h)
M
L
2
Q
−
2
c) Torque
i)
M
L
2
T
−
1
d) Capacitane
j)
M
L
3
T
−
1
Q
−
2
e) Inductance
k)
M
−
1
L
−
2
T
2
Q
2
f) Resistivity
l)
L
2
T
−
2
Q.
Match the following two columns:
Column I
Column II
(a) Electrical resistance
(p)
M
L
3
T
−
3
A
−
2
(b) Electrical potential
(q)
M
L
2
T
−
3
A
−
2
(c) Specific resistance
(r)
M
L
2
T
−
3
A
−
1
(d) Specific conductance
(s) None of these
Q.
Names of units of some physical quantities are given in List - I and their dimensional formulae are given in List - II. Match the correct pair of
the lists.
List - I
List - II
a) Pa-s
e)
[
L
2
T
−
2
K
−
1
]
b)
N
m
K
−
1
f)
M
L
T
−
3
K
−
1
c)
J
k
g
−
1
k
−
1
g)
M
L
−
1
T
−
1
d)
W
m
−
1
k
−
1
h)
[
M
L
2
T
−
2
K
−
1
]
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