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Q.

Two wires of same material have lengths l and 2l. Their radii are in the ratio 1 : 2. The wires are stretched by the same force. If elongation produced in the second wire is 1 mm, then elongation in the first wire will be

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a

6 mm

b

4 mm

c

3 mm

d

2 mm

answer is D.

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Detailed Solution

(4)Elongation  δ=FlAγ  =  Flπσ2γ∴  δ1δ2=  l1l2r2r12 =12  22 =2∴   δ1= 2δ2  =  2  ×  1  mm  =2  mm.
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Two wires of same material have lengths l and 2l. Their radii are in the ratio 1 : 2. The wires are stretched by the same force. If elongation produced in the second wire is 1 mm, then elongation in the first wire will be