Dimensional formula for volume elasticity

Your Ultimate Guide to JEE & NEET Question Solutions

Dimensional formula for volume elasticity is

A

${M^1}{L^{ - 2}}{T^{ - 2}}$

B

${M^1}{L^{ - 3}}{T^{ - 2}}$

C

${M^1}{L^2}{T^{ - 2}}$

D

${M^1}{L^{ - 1}}{T^{ - 2}}$
Dimensional formula for volume elasticity is
Volume elasticity = $\frac{{{\rm{Force/Area}}}}{{{\rm{Volume strain}}}}$
Strain is dimensionless, so
= $\frac{{{\rm{Force}}}}{{{\rm{Area}}}} = \frac{{ML{T^{ - 2}}}}{{{L^2}}} = [M{L^{ - 1}}{T^{ - 2}}]$