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Question

Physics Question on Units and measurement

The dimensions of angular velocity, is

A

[M0L0T−1]\left[ M ^{0} L ^{0} T ^{-1}\right]

B

[M2L0T−1][\left.M ^{2} L ^{0} T ^{-1}\right]

C

[MLT−2][MLT^{-2}]

D

[ML2T−2][ML^2T^{-2}]

Answer

[M0L0T−1]\left[ M ^{0} L ^{0} T ^{-1}\right]

Explanation

Solution

The angular velocity is given by ω=2πT\omega=\frac{2\pi}{T} ∴[ω]=[T−1]=[M∘L∘T−1]\therefore \left[\omega\right]=\left[T^{-1}\right]=\left[M^{\circ}L^{\circ}T^{-1}\right]