Question

The dimensional formula for Young's modulus is

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

Answer 1

Answer: (A)

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