Question

The unit of plane angle is radian, hence its dimensions are ------

a)    [M0L0T0]    

b)    [M1L-1T0]

c)    [M0L1T-1]

d)    [M1L0T-1]

​

Answer 1

Answer:

the answer is (M1-1TO)

Answer 2

Answer:

The correct option is   $\mathbf{A}\left[M^{0} L^{0} T^{0}]$

Concept:

A plane angle, defined as the arc length of a circle subtended by the lines and the radius of that circle, is formed by two lines meeting at a vertex.

Explanation:

$Arc \ length \ l \ =r \theta \\ \theta=\frac{1}{r} \\\\ Since \theta is a ratio of two quantities of the same dimension, it is dimensionless. So the unit is \left[M^{0} L^{0} T^{0}\right]$

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