Question

The dimensional formula for Young's modulus 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)

Young's modulus
$Y =\frac{\text { stress }}{\text { strain }}$
Dimension of $Y =\frac{ ML ^{-1} T ^{-2}}{ M ^{0} L ^{0} T ^{0}}$
$=\left[ ML ^{-1} T ^{-2}\right]$