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Young's modulus is defined as the ratio ...

Young's modulus` is defined as the ratio of

A

bulk stress and longitudinal strain

B

hydraulic stress and hydraulic strain

C

shearing stress and shearing strain

D

tensile stress and longitudinal strain

Text Solution

Verified by Experts

The correct Answer is:
D
Young's modulus is elastic property of a material which is defined as the ratio of tensile stress and longitudinal strain.
`Y= (F//A)/(Deltal//l)= ("Tensile stress")/("Longitudinal strain")`
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Knowledge Check

  • Two identical wires of iron and copper with their Young's modulus in the ratio 3 : 1 are suspended at same level. They are to be loaded so as to have same extension and hence level. Ratio of the weight is :

    A
    `1:3`
    B
    `2:1`
    C
    `3:1`
    D
    `4:1`

  • A metal rod of Young's modulus Y and coefficient of thermal expansion a is held at its two ends such that its length remains invariant. If its temperature is raised by t^(@)C , the linear stress developed in it is:

    A
    `(Y)/(alpha t)`
    B
    `Y alpha t`
    C
    `(1)/((Y alpha t)`
    D
    `(alpha t)/(Y)`

  • A bar of length l, breadth b and depth d is supported at its ends and is loaded at the centre by a load W. If Y is the Young's modulus of the material of the bar, then the depression delta at the centre is :

    A
    `(Wl^(3))/(4bd^(3)Y)`
    B
    `(Wb^(3))/(4dl^(3)Y)`
    C
    `(Wd^(3))/(4lb^(3)Y)`
    D
    `(Wl^(3))/(bd^(3)Y)`

    • Similar Questions

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    Give the expression for Young's modulus of elasticity pretaining to a stretched wire.

    Read the following two statements below carefully and state, with reasons, if is true or false. (a) The Young's modulus of rubber is greater than of steel , (b) The stretching of a coil is determined by shear modulus.

    Calculate the percentage increase in length of a wire of diameter 0.40 mm, stretched by a load of 5 kg. (Given: Young's modulus of elasticity of material of the wire 12.5xx10^(10)Nm^(-2))

    A steet wire of length 4.7 m and cross - sectional area 3.0xx10^(-5)m^(2) stretches by the same amount as a copper wire of length 3.5 m and cross- sectional area of 4.0xx10^(-5)m^(2) under a given load. What is the ratio of the Young's modulus of steel to that of copper ?

    A pendulum made of a uniform wire of cross sectional area A has time period T. When an additional mass M is added to its bob, the time period changes to T_(M) If the Young's modulus of the material of the wire is Y then 1/Y is equal to (g = gravitational acceleration)

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