Question

The dimensional formula for Youngs modulus is:

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

Answer 1

Answer: (A)

The formula for the Youngs modulus
$Y=\frac{\text{ stress }}{\text{ strain }}$
Dimensions of $Y=\frac{\left[M{L}^{-1}{T}^{-2}\right]}{\left[M^0{L}^0{T}^0\right]}$
$=\left[M{L}^{-1}{T}^{-2}\right]$