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Question

Question: Dimensional formula for volume elasticity is-...

Dimensional formula for volume elasticity is-

A

M1L−2T−2M^{1}L^{- 2}T^{- 2}

B

M1L−3T−2M^{1}L^{- 3}T^{- 2}

C

M1L2T−2M^{1}L^{2}T^{- 2}

D

M1L−1T−2M^{1}L^{- 1}T^{- 2}

Answer

M1L−1T−2M^{1}L^{- 1}T^{- 2}

Explanation

Solution

Volume elasticity = Force/AreaVolume strain\frac{\text{Force/Area}}{\text{Volume strain}}

Strain is dimensionless,so

=ForceArea=MLT−2L2=[ML−1T−2]\frac{\text{Force}}{\text{Area}} = \frac{MLT^{- 2}}{L^{2}} = \lbrack ML^{- 1}T^{- 2}\rbrack