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Q.

Two wires of the same material and same mass are stretched by the same force. Their lengths are in the ratio 2 : 3. Their elongations are in the ratio

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a

3 : 2

b

2 : 3

c

4 : 9

d

9 : 4

answer is C.

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Detailed Solution

m = alp, m and ρ are constants.∴          a1a2=I2I1=32 Now,   Y=Fla∆l or ∆1∞1a or      ∆11∆12=1112×a2a1=23×23 or ∆11∆22=49
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Two wires of the same material and same mass are stretched by the same force. Their lengths are in the ratio 2 : 3. Their elongations are in the ratio