Physics Elasticity Question 132

Question: A wire of cross-sectional area $ 3,mm^{2} $ is first stretched between two fixed points at a temperature of 20°C. Determine the tension when the temperature falls to 10°C. Coefficient of linear expansion $ \alpha ={{10}^{-5}}{}^\circ {{C}^{-1}} $ and $ Y=2\times 10^{11},N/m^{2} $

[EAMCET 1994]

Options:

A) 20 N

B) 30 N

C) 60 N

D) 120 N

Show Answer

Answer:

Correct Answer: C

Solution:

$ F=YA\alpha \Delta t $

$ =2\times 10^{11}\times 3\times {{10}^{-6}}\times {{10}^{-5}}\times (20-10)=60N $