Two wires of same diameter of the same material having the length l and 2l. If the force F is applied on each, the ratio of the work done in the two wires will be
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a
1 : 2
b
1 : 4
c
2 : 1
d
1 : 1
answer is A.
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Detailed Solution
Work done, W=12Fl∴ Work done W∝l (If F is constant) area of cross section and material same so elongation is proportional to original length.⇒ W1W2=ll2=l2l=12