Home
Class 11
PHYSICS
The graph shows the extension of a wire ...


The graph shows the extension of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross sectional area of the wire is `1mm^(2)`, then the young's modulus of the material of the wire is
(a). `2xx10^(11)Nm^(-2)`
(b). `2xx10^(10)Nm^(-2)`
(c). `(1)/(2)xx10^(11)Nm^(-2)`
(d). none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`Y=(F//A)/(Deltal//l)=(Wl)/(Adeltal)implies(W)/(Deltal)=(YA)/(l)="slope"impliesY=(l)/(A)("slope")=(1)/(10^(-6))((40-20)/((2-1)xx10^(3)))=2xx10^(10)Nm^(-2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 1 (Elasticity)|16 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 1 (Surface Tension)|21 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

The adjacent graph shows the extra extension (Deltax) of a wire of length 1m suspended from the top of a roof at one end with an extera load Deltaw connected to the other end If the cross sectional area of the wire is 10^(-5)m^(2) calculate the Young's modulus of the meterial of the wire (A) 2 xx 10^(11) N//m^(2) (B) 2 xx 10^(-11)N//m^(2) (c) 3 xx 10^913) N//m^(3) (D) 2 xx 10^(16)N//m^(2) .

The graph shown the extension of is wire of length 1 m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross sectional area of the wire is 1 mm^(2) , then the Young's modulus of the material of the wire. ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ALN_RACE_R64_E01_001_Q01.png" width="80%"gt

Knowledge Check

  • The adjacent graph shows the estension (Deltal) of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross-sectional area of the wire is 10^-6m^2 , calculate the Young's modulus of the material of the wire.

    A
    (a) `2xx10^11N//m`
    B
    (b) `2xx10^-11N//m`
    C
    (c) `3xx10^-12N//m`
    D
    (d) `2xx10^-13N//m`

  • The adjacent graph shows the extension Deltal of a wire of length 1m, suspended from the f top of a roof at one end and with a loaf w connected to the other end. If the cross-sectional area of the wire is 10^(6) m^(2) calculate the young's modulus of the material of the wire .

    A
    ` 2 xx 10^(11) Nm^(-2)`
    B
    `2 xx 10 ^(-11) Nm^(-2)`
    C
    `3xx 10^(-12)Nm^(2)`
    D
    `2 xx 10 ^(-13) 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)`

    • Similar Questions

    Explore conceptually related problems

    A wire of length 1 m and area of cross section 2xx10^(-6)m^(2) is suspended from the top of a roof at one end and a load of 20 N is applied at the other end. If the length of the wire is increased by 0.5xx10^(-4)m , calculate its Young’s modulus (in 10^(11)N//m^(2)) .

    A steel wire 4.0 m in length is stretched through 2.0 mm. The cross-sectional area of the wire is 2.0 mm^(2) . If young's modulus of steel is 2.0 xx 10^(11) Nm^(-2) , then find the energy density of wire.

    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

    A 15 kg mass is attached to one end of a copper wire 2m ling and 2mm in diameter. Calculate the lateral compression produced in it. Poission's ratio is 0.30 and ypung's modulus of the material of the wire is 12 xx 10^(10) Nm^(-2) . Use , g=10ms^(-2) .

    The area of a cross section of steel wire is 0.1cm^2 and Young's modulus of steel is 2xx10^(11)Nm^-2 . The force required to strech by 0.1% of its length is

    Home
    Profile