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A thick rope of rubber of density 1.5 xx...

A thick rope of rubber of density `1.5 xx 10^3 kg//m^3` and Young's modulus `5 xx 10^6 N//m^2`, 8 m in length is hung from the ceiling of a room, the increase in its length due to its own weight is

A

`9.6 xx 10^-2m`

B

`19.6 xx 10^-2m`

C

`9.6 xx 10^-3m`

D

9.6 m

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • A rubber string of length 8 m is hanging vertically with one end fixed. If the density of rubber is 1.5 times 10^3 kg.m^-3 and young's modulus is 5 times 10^6 N.m^-2 , then increase of its length due to its own weight will be [ g=10 m.s^-2 ]

    A
    `9.6 times 10^-2m`
    B
    `19.2 times 10^-3m`
    C
    `9.6 times 10^-3m`
    D
    9.6 m

  • A thick rope of density rho and length L is hung from a rigid support. The Young's modulus of the material of the rope is Y. The increased in length of the rope due to its own weight is

    A
    (A) `1/4 rho g L^2//Y`
    B
    (B) `1/2 rho g L^2//Y`
    C
    (C) `rho g L^2//Y`
    D
    (D) `rho g L//Y`

  • A rubber rope of length 8 m is hung from the ceiling of a room . What is the increase in length of the rope due tom its own weight ? ( Given Y=5xx10a66Nm^-2 and density of rubber =1.5xx10^3kg m^-3,g=10ms^-2 )

    A
    192 mm
    B
    96 mm
    C
    48 mm
    D
    192 mm

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