Physics And Measurement Question 48

Dimensional formula for volume elasticity is [ML^{-1}T^{-2}]

[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}} $

Show Answer

Answer:

Correct Answer: D

Solution:

Volume elasticity = $ \frac{\text{Pressure}}{\text{Volume strain}} $ Strain is dimensionless, so $ \frac{\text{Force}}{\text{Area}}=\frac{ML{{T}^{-2}}}{L^{2}}=[M{{L}^{-1}}{{T}^{-2}}] $



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