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A metal rope of density $4000 k g / m^{3}$ is used to measure the depth of the sea. The depth of the sea that can be measured without breaking is 30km. The breaking stress of the metal rope is $(g = 10 m s^{- 2})$

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8.3×107Nm−2

9.8×107Nm−2

8.3×108Nm−2

9×108Nm−2

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detailed solution

Correct option is D

B.S=Ldg(1−dLdS) B.S=30×103×4×103×10(1−10004000) =9×108Nm−2

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A metal rope of density 4000kg/m3 is used to measure the depth of the sea. The depth of the sea that can be measured without breaking is 30km. The breaking stress of the metal rope is (g=10ms−2)

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A metal rope of density $4000 k g / m^{3}$ is used to measure the depth of the sea. The depth of the sea that can be measured without breaking is 30km. The breaking stress of the metal rope is $(g = 10 m s^{- 2})$