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Question

Question: The dimensional formula for the modulus of rigidity is...

The dimensional formula for the modulus of rigidity is

A

ML2T−2ML^{2}T^{- 2}

B

ML−1T−3ML^{- 1}T^{- 3}

C

ML−2T−2ML^{- 2}T^{- 2}

D

ML−1T−2ML^{- 1}T^{- 2}

Answer

ML−1T−2ML^{- 1}T^{- 2}

Explanation

Solution

Modulus of rigidity = Shear 6mustressShear 6mustrain=\frac{\text{Shear}\mspace{6mu}\text{stress}}{\text{Shear}\mspace{6mu}\text{strain}} = [ML−1T−2]\lbrack ML^{- 1}T^{- 2}\rbrack