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Byju's Answer
Standard IX
Mathematics
Relation between Variables and Equations
The dimension...
Question
The dimensions of self- induction are :
A
[
M
L
T
−
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
−
2
A
2
]
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Solution
The correct option is
D
[
M
L
2
T
−
2
A
2
]
ϕ
=
L
I
and also
ϕ
=
B
.
A
=
B
2
[B]
M
L
T
2
L
I
−
1
A
T
[
B
]
M
L
T
−
2
L
A
[
B
]
M
T
−
2
A
−
1
[
ϕ
]
=
M
T
−
2
L
2
A
−
1
thee finally dimension of inductance
[L]=
[
ϕ
]
[
I
]
[L]=
M
T
−
2
C
2
A
−
2
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0
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 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 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 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.
Given that
m
=
mass,
l
=
length,
t
=
time and
i
=
current. The dimensions of
m
l
2
t
3
i
are the same as that of:
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