Question

The dimensional formula of modulus of elasticity is

• A. $ \left[ML^{-1}T^{-2}\right] $
• B. $ \left[M^{0}LT^{-2}\right] $
• C. $ \left[MLT^{-2}\right] $
• D. $ \left[ML^{2}T^{-2}\right] $

Answer 1

Answer: (A)

Modulus of elasticity $=\frac{\text { stress }}{\text { strain }}$
Stress $=\frac{[F]}{[A]}=\frac{\left[ MLT ^{-2}\right]}{\left[ L ^{2}\right]}=\left[ ML ^{-1} T ^{-2}\right]$
Strain $=$ dimensionless So, modulus of elasticity $=\left[ ML ^{-1} T ^{-2}\right]$