Question

Young's Modulus of a material is defined as the ratio of stress to strain. Which of the following correctly represents Young's Modulus (Y)?

Options

• Y = \[\frac {F.L}{A.ΔL}\]

• Y = \[\frac {A.ΔL}{F.L}\]

• Y = \[\frac {F.ΔL}{A.L}\]

• Y = \[\frac {F}{A+ΔL}\]

Answer 1

Y = \[\frac {F.L}{A.ΔL}\]

Explanation:

Young's Modulus = Stress ÷ Strain = \[\frac {F/A}{ΔL/L}\] = \[\frac {F.L}{A.ΔL}\]​. Here F is the applied force, A is cross-sectional area, L is original length, and ΔL is the change in length.