Physics Elasticity Question 99

Question: The temperature of a wire of length 1 metre and area of cross-section $ 1,cm^{2} $ is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be $ (\alpha ={{10}^{-5}}/{}^\circ C $ and $ Y=10^{11},N/m^{2}) $

[NCERT 1976; CPMT 1982, 91]

Options:

A) $ 10^{3}N $

B) $ 10^{4}N $

C) $ 10^{5}N $

D) $ 10^{9}N $

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Answer:

Correct Answer: B

Solution:

$ F= $ force developed$ =YA\alpha (\Delta \theta ) $

$ =10^{11}\times {{10}^{-4}}\times {{10}^{-5}}\times 100=10^{4}N $