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Pure Rotation about an Axis

The physical ...

Question

The physical quantity which has no dimension is:

A

stress

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B

strain

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C

momentum

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D

angular velocity

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Solution

The correct option is C strain
Strain $= \frac{△ L}{L} = \frac{L^{1}}{L^{1}} = M^{0} L^{0} T^{0} \Rightarrow$ No dimension
Stress $= \frac{F}{A} = M L^{- 1} T^{- 2}$
Momentum $= m \times v = M L T^{- 1}$
Angular velocity $= M^{0} L^{0} T^{- 1}$

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