Home
Class 11
PHYSICS
A wire of length L and cross section A i...

A wire of length L and cross section A is made of material of young's modulus y. It is stretched by an amount x. What is the work done ?

Text Solution

Verified by Experts

`Delta l , y = (F//A)/(Delta l//L)` or `F = (yA Delta L)/(L)`
The work done from o to x = `Delta l` change in length
Average distance `= "force" xx "distance"`
`= (yA Delta l)/(2) xx (Delta l)/(2) = (yA (Delta l)^(2))/(2L) = (yA x^(2))/(2L)`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF MATTER

    SURA PUBLICATION|Exercise Creative Questions (HOTS)|17 Videos

  • PROPERTIES OF MATTER

    SURA PUBLICATION|Exercise Value based Questions|5 Videos

  • PROPERTIES OF MATTER

    SURA PUBLICATION|Exercise Long Answer Questions|4 Videos

  • OSCILLATIONS

    SURA PUBLICATION|Exercise VALUE BASED QUESTIONS|2 Videos

  • PUBLIC EXAM QUESTION PAPER MARCH-2019

    SURA PUBLICATION|Exercise Part-IV|10 Videos

Similar Questions

Explore conceptually related problems

A wire of length 2m and cross-sectional area 2 xx 10^(-6) m^(2) is made of a material of Young's modulus 2 xx 10^(11) Nm^(-2) . What is the work done in stretching it through 0.1 mm.

For a given material, the youngs modulus is 2.4 times that of rigidity modulus. What is its poisson's ratio ?

A wire is stretched by 0.01 m when it is stretched by certain force. Another wire of the same material but double the length and double the diameter is stretched by the same force. What is the elongation in metres ?

Two wires A and B of length l, radius r and length 2l, radius 2r having same Young's modulus Y are hung with a weight mg. What is the net elongation in the two wires?

A negligible small current is pass through a wire of length 15m and uniform cross section 6xx10^(-7)m^(2) and its resistance is measured to be 5Omega . What is the resistivity of the material at the temperature of the experiment ?

Two wires of A and B with cirular cross section made up of the same material with equal lengths.Suppose R_(A)=3R_(B) , then what is the ratio of radius of wire A to that of B ?