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Byju's Answer
Standard XII
Physics
The Speed of EM Waves
Dimentional f...
Question
Dimentional formula of permeability of free space
μ
0
is given by
A
[
M
0
L
T
−
2
A
−
2
]
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B
[
M
L
2
T
−
1
A
−
2
]
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C
[
M
L
T
−
2
A
−
2
]
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D
[
M
0
L
T
−
1
A
−
1
]
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Solution
The correct option is
C
[
M
L
T
−
2
A
−
2
]
c
2
=
1
μ
0
ε
0
⇒
μ
0
=
1
C
2
ε
0
c
=
L
T
−
1
&
ε
0
=
q
1
q
2
F
r
2
=
A
2
T
2
L
2
M
L
T
−
2
∴
μ
0
=
L
2
M
L
T
−
2
L
2
T
−
2
×
A
2
T
2
=
M
L
T
−
2
A
−
2
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0
Similar questions
Q.
Dimentional formula of permeability of free space
μ
0
is given by
Q.
If
μ
0
is permeability of free space and
ϵ
0
is permittivity of free space, the speed of light in vacuum is given by
Q.
The dimensional formula of
1
2
μ
0
H
2
(
μ
0
- Permeability of free space and H-magnetic field intensity) is:
Q.
The speed of light in vaccum
(
c
)
, depends on two fundamental constants, the permeability of free space
(
μ
0
)
and permittivity of free space
(
ϵ
0
)
. The speed of light is given by
c
=
1
√
μ
0
ϵ
0
. The units of
ϵ
0
are
N
−
1
C
2
m
−
2
. The units for
μ
0
are
Q.
Which of the following do not have the same dimensional formula as the velocity?
(Given that
μ
0
=
permeability of free space,
ϵ
0
=
permittivity of free space,
v
=
frequency,
λ
=
wavelength,
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