Home
Class 9
PHYSICS
A force of 20 N applied to the ends of a...

A force of 20 N applied to the ends of a wire 4-m long produces an extension of 0.24 mm. If the diameter of the wire is 2 mm, find the Young's modulus of its material.

Text Solution

AI Generated Solution

To find the Young's modulus of the material of the wire, we can follow these steps: ### Step 1: Understand the formula for Young's Modulus Young's modulus (Y) is defined as the ratio of stress to strain: \[ Y = \frac{\text{Stress}}{\text{Strain}} \] ### Step 2: Calculate the Stress Stress is defined as the force (F) applied per unit area (A): ...
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    CENGAGE PHYSICS|Exercise MANDATORY EXERCISE (Exercise Set II) Multiple - Choice Questions with One correct Answer |21 Videos
  • ELASTICITY

    CENGAGE PHYSICS|Exercise CONSOLIDATED EXERCISE|5 Videos
  • ELASTICITY

    CENGAGE PHYSICS|Exercise MANDATORY EXERCISE (Exercise Set I)|6 Videos
  • DESCRIPTION OF MOTION

    CENGAGE PHYSICS|Exercise OLYMPIAD AND NTSE LEVEL EXERCISE|10 Videos
  • FRICTION

    CENGAGE PHYSICS|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES (Read the given statements and select the correct option.)|1 Videos

Similar Questions

Explore conceptually related problems

A load of 3kg produces an extension of 1.5 mm in a wire of length 3m and diameter 2mm . Young's modulus of the material of the wire is

A load of 2 kg produces an extension of 1 mm in a wire 3 m in length and 1 mm in diameter.l Calculate Young's modulus of elesticity of wire.

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

when a weight of 10 kg is suspended from a copper wire of length 3m and diameter 0.4 mm. Its length increases by 2.4 cm. If the diameter of the wire is doubled then the extension in its length will be

When a weight of 10 kg is suspended from a copper wire of length 3 metres and diameters 0.4 mm , its length increases by 2.4 cm . If the diameter of the wire is doubled, then the extension in its length will be

A wire of 10m long and 1mm^(2) area of cross section is strechted by a force of 20N . If the elongation is 2mm the young's modulus of the material of the wire (in Pa ) is

A 10 kg mass is attached to one end of a copper wire, 3m long and 1 mm in diameter. Calculate the lateral compression produced in it. (Possion's ration is 0.25and Young's modulus, of the metereal of the wire is modulus of the material of the wire is 12.5 xx 10^(10) N//m^(2)) .

A wire of length 10 m and cross-section are 10^(-6) m^(2) is stretched with a force of 20 N. If the elongation is 1 mm, the Young's modulus of material of the wire will be

When a wire is stretched by a force the strain produced in the wire is 2 xx 10^(-4) . If the energy stored per unit volume of the wire is 4 xx 10^(4) "joule"//m^(3) then the Young's modulus of the material of the wire will be,