Physics Elasticity Question 110

Question: A force of 200 N is applied at one end of a wire of length 2 m and having area of cross-section $ {{10}^{-2}},cm^{2} $ . The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire $ \alpha =8\times {{10}^{-6}}/{}^\circ C $ and Young’s modulus $ Y=2.2\times 10^{11},N/m^{2} $ and its temperature is increased by 5°C, then the increase in the tension of the wire will be

Options:

A) 4.2 N

B) 4.4 N

C) 2.4 N

D) 8.8 N

Show Answer

Answer:

Correct Answer: D

Solution:

Increase in tension of wire $ =YA\alpha \Delta \theta $

$ =8\times {{10}^{-6}}\times 2.2\times 10^{11}\times {{10}^{-2}}\times {{10}^{-4}}\times 5=8.8\ N $