Home
Class 11
PHYSICS
An elastic material of Young's modulus ...

An elastic material of Young's modulus Y is subjected to a stress S. The elastic energy stored per unit volume of the material is

A

`(2Y)/(S^(2))`

B

`(S^(2))/(2Y)`

C

`(S)/(2Y)`

D

`(S^(2))/(Y)`

Text Solution

Verified by Experts

The correct Answer is:
B
`U= (1)/(2) xx` Stress `xx` Strain `= (1)/(2) xx (S^(2))/(Y)`
Promotional Banner

Similar Questions

Explore conceptually related problems

An elastic material with Young's modulus Y is subjected to a tensile stress S, elastic energy stroed per unit volume of the material is

On stretching a wire, the elastic energy stored pre unit volume is

When a force is applied at one end of an elastic wire, it produce a strain E in the wire. If Y is the Young's modulus of the material of the wire, the amount of energy stored per unit volume of the wire is given by

A wire having Young's modulus 2 xx 10^(11)N//m^(2) is stretched by a force. If the energy stored per unit volume of the wire is 40 "joule"//m^(3) , then the stress produced in the wire is

The elastic enery stored in a wire of Young's modulus Y is

Young's modulus of material of the rod is 24 times 10^(10)Pa When the longitudinal strain is 0.01% then energy stored per unit volume of the rod is

Two wire of same radius and lengh the are subjected to the same load. One wire is of steel and the other is of copper. If the Young's modulus of steel is twice that of copper, the ratio the energy stored per unit volume in steel to that of copper wire is