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Byju's Answer
Standard XI
Physics
Dimensional Analysis
The unit of p...
Question
The unit of plane angle is radian, hence its dimensions are
A
[
M
0
L
0
T
0
]
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B
[
M
1
L
−
1
T
0
]
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C
[
M
0
L
1
T
−
1
]
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D
[
M
1
L
0
T
−
1
]
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Solution
The correct option is
A
[
M
0
L
0
T
0
]
Arc length
l
=
r
θ
θ
=
l
r
Since
θ
is a ratio of two quantities of the same dimension, it is dimensionless. So the unit is
[
M
0
L
0
T
0
]
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