Two person pull a rope towards themselves. Each person exerts a force of 100 N on the rope. Find the Young modulus of the material of the rope if it extends in length by 1 cm. Original length of the rope=2 m and the area of cross section =cm^2.

Options

A. `10^(5)N//m^(2)`
B. `10^(6)N//m^(2)`
C. `10^(7)N//m^(2)`
D. `10^(8)N//m^(2)`

Answer

D

Explanation

`y=(FL)/(Al) =(100xx2)/(2xx10^(-4) xx 1xx10^(-2)) = 10^(8)N//m^(2)`.