Physics And Measurement Question 48
Question: Dimensional formula for volume elasticity is
[MP PMT 1991, 2002; CPMT 1991; MNR 1986]
Options:
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}} $
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Answer:
Correct Answer: D
Solution:
Volume elasticity = $ \frac{\text{Force/Area}}{\text{Volume strain}} $ Strain is dimensionless, so $ \frac{Force}{Area}=\frac{ML{{T}^{-2}}}{L^{2}}=[M{{L}^{-1}}{{T}^{-2}}] $
