Question

Calculate the Young’s modulus in the cantilever depression method. The length is 1m which is suspended with a load of 150gm. The depression is found to be 4cm. The thickness of the beam is 5mm and breadth is 3cm.

(a) 3.92 × 10^10 N/m^2

(b) 9000 × 10^10 N/m^2

(c) 4000 × 10^10 N/m^2

(d) 1.245 ×10^10 N/m^2

The question was asked by my college professor while I was bunking the class.

The origin of the question is Elasticity in chapter Thermal Properties of Matter of Engineering Physics I

Answer 1

Right option is (a) 3.92 × 10^10 N/m^2

For explanation I would say: Y = (4gl^3)/(bd^2 ) × M/y

Y = 3.92 × 10^10 N/m^2.