The dimensional formula of modulus of rigidity is

[M L^{2} T^{- 2}]

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[M L^{- 1} T^{- 3}]

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[M L^{- 2} T^{- 2}]

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[M L^{- 1} T^{- 2}]

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Solution

The correct option is C $[M L^{- 1} T^{- 2}]$
Modulus of rigidity is the ratio of shear stress to the shear strain.
$η = \frac{s t r e s s}{s t r a i n}$
Strain is dimensionless, where as Stress has the dimensions of Pressure.
$S t r e s s = \frac{F}{a} = \frac{M L T^{- 2}}{L^{2}} = M L^{- 1} T^{- 2}$

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