MCQ
Dimensional formula for volume elasticity is
- A${M^1}{L^{ - 2}}{T^{ - 2}}$
- B${M^1}{L^{ - 3}}{T^{ - 2}}$
- C${M^1}{L^2}{T^{ - 2}}$
- ✓${M^1}{L^{ - 1}}{T^{ - 2}}$
✓
Answer
Correct option: D.
${M^1}{L^{ - 1}}{T^{ - 2}}$
d
(d) Volume elasticity = $\frac{{{\rm{Force/Area}}}}{{{\rm{Volume strain}}}}$
(d) Volume elasticity = $\frac{{{\rm{Force/Area}}}}{{{\rm{Volume strain}}}}$
Strain is dimensionless, so
= $\frac{{{\rm{Force}}}}{{{\rm{Area}}}} = \frac{{ML{T^{ - 2}}}}{{{L^2}}} = [M{L^{ - 1}}{T^{ - 2}}]$
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