Home
Class 11
PHYSICS
What will be the stress required to doub...

What will be the stress required to double the length of a wire of Young's modulus Y?

Text Solution

Verified by Experts

`l_1 = l , l_2 = 2l`
`Delta l = 2l - l , Y = ((F/A))/((Delta l)/(l))`
But as `(Delta l)/(l) = 1`, here `F/A = Y`
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the Young.s modulus of the material of a wire is equal to the stress required to double the initial length of the wire. Assume that Hookes law holds good throughout the process.

What must be the stress (F//A) in a stretched wire of a material whose Young's modulus is Y for the speed of lonitudinal waves equal to 30 times the speed of transverese waves?

Calculate the force required to incrase the length of wire of cross-sectional area 10^(-6) m^(2) by 50% if the Young's modulus of the material of the wire is 90 xx 10^(9) Pa .

If the load of a wire is increases such that its stress is twice as that of previous, then the new value of Young s modulus is

A force F doubles the length of wire of cross-section a The Young modulus of wire is

In an experiment, brass and steel wires of length 1 m each with areas of cross section 1mm^(2) are used. The wires are connected in series and one end of the combined wire is connected to a rigid support and other end is subjected to elongation. The stress required to produce a net elongation of 0.2 mm is, [Given, the Young’s Modulus for steel and brass are, respectively, 120 xx 10^(9) N//m^(2) and 60 xx 10^(9) N//m^(2)

A wire one square centimeter area of cross-section is stretched by a force to double its original length. Calculate the force. Young's modulus = 90 GPa. Assume that the wire does not break.

A wire of length l and cross-sectional are A is suspended at one of its ends from a ceiling. What will be its strain energy due to its own weight, if the density and Young's modulus of the material of the wire be d and Y?

Calculate the stress in a tight wire of a material whose Young's modulus is 19.6xx10^(11)("dyne")/(cm^2) so that the speed of the longitudinal waves is 10 times the speed of transverse waves.

What force is required to stretch a steel wire to double its length when its area of cross section 1 cm2 and Young.s modulus 2 xx 10^(11)N//m^(2) .