The Young's modulus of a rubber string $$8$$ cm long and density $$1.5$$ $$kg/m3$$ is $$5$$×$$108$$ $$N/m2$$ , is suspended on the ceiling in a room. The increase in length due to its own weight will be

Correct option is 29.6×10−11 m

Questions

The Young's modulus of a rubber string 8 cm long and density $1 .5 kg / m^{3}$ is $5 \times 10^{8} N / m^{2}$ , is suspended on the ceiling in a room. The increase in length due to its own weight will be

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9.6×10−5 m

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9.6 m

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detailed solution

Correct option is B

l=L2dg2Y=(8×10−2)2×1.5×9.82×5×108=9.6×10−11m

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The Young's modulus of a rubber string 8 cm long and density 1.5 kg/m3 is 5×108 N/m2 , is suspended on the ceiling in a room. The increase in length due to its own weight will be

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The Young's modulus of a rubber string 8 cm long and density $1 .5 kg / m^{3}$ is $5 \times 10^{8} N / m^{2}$ , is suspended on the ceiling in a room. The increase in length due to its own weight will be