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An Indian rubber cord L metre long and a...

An Indian rubber cord L metre long and area of cross-section A `"metre"^(2)` is suspended vertically. Density of rubber is D `"kg/metre"^(2)`. If the wire extends by `l` metre under its own weight, then extension `l` is

A

`L^(2)Dg//E`

B

`L^(2)Dg//2E`

C

`L^(2)Dg//4E`

D

`L`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • A rubber cord of density d, Young's modulus Y and length L is suspended vertically . If the cord extends by a length 0.5 L under its own weight , then L is

    A
    `Y/(2dg)`
    B
    `Y/(dg)`
    C
    `(2Y)/(dy)`
    D
    `(dg)/(2Y)`

  • A uniform steel rod of cross- sectional area A and L is suspended so that it hangs vertically. The stress at the middle point of the rod is

    A
    `1/2rhogL`
    B
    `1/4rhogL`
    C
    `rhogL`
    D
    None of these

  • A uniform steel bar of cross-sectional area A and length L is suspended, so that it hangs vertically. The stress at the middle point of the bar is ( rho is the density of stell)

    A
    `(L)/(2A) rho g`
    B
    `(L rho g)/(2)`
    C
    `(LA)/(rho g)`
    D
    `L rho g`