Question

dimension formula for elastic constant

Answer 1

The dimensional formula for elastic constant is ML^-1 T^-2.

Hope my answer is useful to you.

Answer 2

The elastic constant of a substance is defined as the ratio of stress to strain.

The stress may be normal or tangential .Similarly the strain may be longitudinal,lateral, volumetric strain etc.

Hence, the elastic constant  $k = \frac{stress}{strain}$

We are asked to determine the dimensional formula of elastic constant.

The dimensional formula of elastic constant k is -

                                  $[k] \ =\frac{[stress]}{[strain]}$

                                               $=\frac{M^{1} L^{-1} T^{-2}} {M^{0} L^{0} T^{0}}$

                                               $=M^{1} L^{-1} T^{-2}$     [ANS]