Physics Elasticity Question 147

Question: How much force is required to produce an increase of 0.2% in the length of a brass wire of diameter 0.6 mm [MP PMT 2000] (Young’s modulus for brass = $ 0.9\times 10^{11}N/m^{2} $ )

Options:

A) Nearly 17 N

B)Nearly 34 N

C) Nearly 51 N

D)Nearly 68 N

Show Answer

Answer:

Correct Answer: C

Solution:

$ F=\frac{YAl}{L} $

$ =0.9\times 10^{11}\times \pi \times {{(0.3\times {{10}^{-3}})}^{2}}\times \frac{0.2}{100}=51\ N $