The dimenational formula for Young's modulus is

Options

A. `ML^(-1)T^(-2)`
B. `M^(0)LT^(-2)`
C. `MLT^(-2)`
D. `ML^(2)T^(-2)`

Answer

a

Explanation

Young's modulus `= ("Stress")/("Strain")`
Stress `= ("Force")/("Area") rArr [sigma] = ([MLT^(-2)])/([L^(2)]) = [ML^(-1)T^(-2)]`
Strain `= ("Change in length")/("Original length")`
Hence `[Y] = [ML^(-1)T^(-2)]`