Home
Class 11
PHYSICS
The work per unit volume to stretch the ...

The work per unit volume to stretch the length by `1%` of a wire with cross sectional area of `1mm^2` will be. `[Y=9xx10^(11)N//m^2]`

A

`9 xx 10^(11)J`

B

`4.5 xx 10^(7) J`

C

`9 xx 10^(7) J`

D

`4.5 xx 10^(11)J`

Text Solution

Verified by Experts

The correct Answer is:
B

`U= (1)/(2) xx Y xx("Strain")^(2) = (9)/(2) xx 10^(11) xx ((1)/(100))^(2)= 4.5 xx 10^(7) J`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Bulk Modulus)|11 Videos
  • ELASTICITY

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Modulus of Rigidity)|16 Videos
  • ELASTICITY

    ERRORLESS|Exercise ASSERTION & REASON |10 Videos
  • BASIC MATHEMATICS AND VECTORS

    ERRORLESS|Exercise Assertion & Reason|15 Videos
  • FLUID MECHANICS

    ERRORLESS|Exercise ASSERTION AND REASON|23 Videos

Similar Questions

Explore conceptually related problems

The work done per unit volume to stretch the length of area of cross-section 2 mm^2 by 2% will be

The workdone in increasing the length of a one metre long wire of cross - sectional area 1 m m^(2) through 1mm will be (Y=2xx10^(11)Nm^(-2)) :

The work done in increasing the length of a one metre long wire of cross-sectional area 1 mm^(2) through 1 mm will be (Y = 2 xx 10^(11) Nm^(-2))

Calculate the force required to increase the length of a steel wire of cross- sectional area 10^(-6)m^(2) by 0.5% given: Y_(("for steel"))=2xx10^(11)N-m^(2)

A 1 m long steel wire of cross-sectional area 1 mm^(2) is extended 1 mm. If Y = 2 xx 10^(11) Nm^(-2) , then the work done is

The energy stored per unit volume in copper wire, which produces longitudinal strain of 0.1% is (Y = 1.1 xx 10^(11) N//m^(2))

A wire of length 1m is stretched by a force of 10N. The area of cross-section of the wire is 2 × 10^(–6) m^(2) and Y is 2 xx 10^(11) N//m^(2) . Increase in length of the wire will be -

When a wire is stretched, an amount of work is done. What is the amount of work done in stretching a wire through 0.1 mm, if its lengths is 2m and area of cross-section 10^(-6)m^(2)(Y=2xx10^(11)N//m^(2))

The Young's modulus of a wire of length 2m and area of cross section 1 mm^(2) is 2 xx 10^(11) N//m^(2) . The work done in increasing its length by 2mm is

What is the force requiredto stretch a steel wire of 1 cm^(2) cross-section to 1.1 times its length ? (Y = 2 xx 10^(11) N//m^(2))