1.Units, Dimensions and Measurement
medium

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

Solution

(d) Volume elasticity = $\frac{{{\rm{Force/Area}}}}{{{\rm{Volume strain}}}}$
Strain is dimensionless, so
= $\frac{{{\rm{Force}}}}{{{\rm{Area}}}} = \frac{{ML{T^{ – 2}}}}{{{L^2}}} = [M{L^{ – 1}}{T^{ – 2}}]$
Standard 11
Physics

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