Home
Class 11
PHYSICS
A load of 4.0 kg is suspended from a cei...

A load of 4.0 kg is suspended from a ceiling through a steel wire of length 20 mand radius 2.0 mm. It is found that the length of the wire increases by 0.031 mm as equilibrium is achieved. Find Young modulus of steel. Take `g=3.1pims^-2`

Text Solution

Verified by Experts

The longitudiN/Al stress= ((4.0kg)(3.1pims^-2))/(pi(2.0xx10^-3m)^2)`
`=3.1xx10^6Nm^-2`
`the longitudiN/Al strain =(0.31xx10^-3m)/(2.0m)`
`=0.0155xx10^-3`
Thus `Y=(3.1xx10^6Nm^-2)/(0.0155xx10^-3)=2.0xx10^11Nm^-2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOME MECHANICAL PROPERTIES OF MATTER

    HC VERMA|Exercise Worked Out Examples|17 Videos

  • SOME MECHANICAL PROPERTIES OF MATTER

    HC VERMA|Exercise Short Answer|18 Videos

  • SIMPLE HARMONIC MOTION

    HC VERMA|Exercise Exercises|58 Videos

  • SOUND WAVES

    HC VERMA|Exercise Exercises|89 Videos

Similar Questions

Explore conceptually related problems

A load of 4.0 kg is suspended from a ceiling through a steel wire of radius 2.0 mm. find the tensile stress developed in the wire when equilibrium is achieved. Take g=3.1pi m/s^-2

When a load of 10 kg is suspended on a metallic wire, its length increase by 2 mm. The force constant of the wire is

Knowledge Check

  • A load of 4 kg is suspended from a ceiling through a steel wire of length 2 m and radius 2 mm. It is found that the length of the wire increase by 0.032 mm as equilibrium is achieved. What would be the Young's modulus of steel ? (Take , g=3.1 pi m s^(-2) )

    A
    `2.0 xx 10^(11) Nm^(-2)`
    B
    `2.82 xx 10^(11) Nm^(-2)`
    C
    `0.20 xx 10^(11) Nm^(-2)`
    D
    `0.028 xx 10^(11) Nm^(-2)`

  • A load of 4.0 kg is suspended from a celling through a streel wire of length 2.0 m and radius 2.0 mm. It is found that the length of the wire increases by 0.031 mm as equilibrium is achieved. Taking g = 3.1 pi ms^(-2) the Young's modulus of steel is

    A
    `2.0 10^(8) Nm^(-2)`
    B
    `2.0 xx 10^(9) Nm^(-2)`
    C
    `2.0 xx 10^(11) Nm^(-2)`
    D
    `2.0 xx 10^(13) Nm^(-2)`

  • A load of 4 kg is suspended from a ceiling through a steel wire of length 20 m and radius 2 mm . It is found that the length of the wire increases by 0.031 mm , as equilibrium is achieved. If g = 3.1xxpi ms(-2) , the value of young's modulus of the material of the wire (in Nm^(-2)) is

    A
    (A) `2xx10^(12)`
    B
    (B) `4xx10^(11)`
    C
    (C) `2xx10^(11)`
    D
    (D) `0.02xx10^(9)`

    • Similar Questions

    Explore conceptually related problems

    A steel wire of length 4 m and diameter 5 mm is stretched by kg-wt. Find the increase in its length if the Young's modulus of steel wire is 2.4 xx 10^(12) dyn e cm^(-2)

    When a weight of 5 kg is suspended from a copper wire of length 30 m and diameter 0.5 mm , the length of the wire increases by 2.4 cm . If the diameter is doubled, the extension produced is

    A load of mass M kg is suspended from a steel wire of length 2 m and radius 1.0 mm in Searle's apparatus experiment. The increase in length produced in the wire is 4.0 mm , Now the loads is fully immersed in a liquid of relative density 2. The relative density of the material of load is 8. The new value of increase in length of the steel wire is :

    A load of mass M kg is suspended from a steel wire of length 2 m and radius 1.0 mm in Searle's apparatus experiment. The increase in length produced in the wire is 4.0 mm , Now the loads is fully immersed in a liquid of relative density 2. The relative density of the material of load is 8. The new value of increase in length of the steel wire is :

    A mass of 0.5 kg is suspended from wiere, then length of wire increase by 3 mm then work done

    Home
    Profile