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One end of a wire 2m long and 0.2 cm^2 i...

One end of a wire 2m long and 0.2 cm^2 in cross section is fixed in a ceilign and a load of 4.8 kg is attached to the free end. Find the extension of the wire. Young modulus of steel `=2.0xx10^11Nm^-2`. Take `g=10ms^-2`.

Text Solution

AI Generated Solution

To find the extension of the wire when a load is applied, we can use the formula for Young's modulus: \[ Y = \frac{F/A}{\Delta L/L_0} \] where: - \( Y \) is the Young's modulus, ...
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A wire of area of cross section 3.0mm^2 and natural length 50 cm is fixed at one end and a mas of 2.1 kg is hung from the other end. Find the elastic potential energy stored in the wire in steady state. Young modulus of the material of the wire =1.9xx10^11Nm^-2. Take g=10ms^-2

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Knowledge Check

  • A uniform nickel wire of length 3.14 m and radius 10^(-3) hangs vertically. If a mass of 20 kg is attached to its free end. The extension in the wire is, (Young's modulus of nickel =20xx10^(10)N//m^(2) )

    A
    `9.8xx10^(-2)m`
    B
    `9.8xx10^(-3)m`
    C
    `9.8xx10^(-4)m`
    D
    `9.8xx10^(-5)m`

  • When a wire 2 m long and 0.05 cm^(2) in cross-section is stretched by a mass of 2 kg, it increases in length by 0.04 mm. Young's modulus of the material of the wire is (g=10ms^(-2))

    A
    `2xx10^(9)Nm^(-2)`
    B
    `20xx10^(10)Nm^(-2)`
    C
    `20xx10^(11)Nm^(-2)`
    D
    `20xx10^(8)Nm^(-2)`

  • A uniform steel wire of length 3.14 m and diameter 2xx10^(-3) m is fixed at its upper end. When a mass of 10 kg is attached to its lower end, the extension of the wire is 1xx10^(-3) m. The Young's modulus of elasticity is,

    A
    `9.8xx10^(8)N//m^(2)`
    B
    `9.8xx10^(9)N//m^(2)`
    C
    `9.8xx10^(10)N//m^(2)`
    D
    `9.8xx10^(11)N//m^(2)`

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