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Q.

A thick rope of rubber of length 8 m and density 1.5 X 103kgm-3 has Young's modulus 5 x 106 Nm-2 . When hung from ceiling of a room, the increase in length due to its own weight is

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a

9.6  cm

b

19.2 x 10-5 m

c

2.4 cm

d

9.6 mm

answer is A.

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Detailed Solution

Due to own weight, Δl=mgL2AY=(LAρ)gL2AY=L2ρg2Y=(8)21.5×103(10)2×5×106=9.6×10−2m=9.6cm
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