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A force F is needed to break a copper wire having radius R, The force needed to break a copper wire of radius 2R will be......

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A force F is needed to break a copper wire having radius R, The force needed to break a copper wire of radius 2R will be...... 

(A) F/2 

(B) 2F 

(C) 4F 

(D) F/4

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1 Answer

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Correct option: (C) 4F

Explanation:

Breaking force ∝ area of cross-section

F ∝ πr2 

(F1 / F2) = (r1 / r2)2 = 1/4

Given r1 = R & r2 = 2R, F1 = F hence

(F / F2) = (R / 2R)2 = 1/4

F2 = 4F 

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