Home
Class 11
PHYSICS
Given Young's modulus of elasticity for ...

Given Young's modulus of elasticity for nickel as `207xx10^(9)Nm^(-2)` and Poisson's ratio 0.36 calculate its rigidity modulus and bulk modilus of elasticity.

Text Solution

Verified by Experts

Given `Y=207xx10^(9)=Nm^(-2)`
`sigma=0.36, eta=?, K=?`
We know that `Y=2(1+ sigma )eta`
So that `eta=Y/(2(1+sigma))=(207xx10^(9))/(2(1+0.36))=(103.5xx10^(9))/1.36`
`eta=76.1xx10^(9)Nm^(-2)`
Bulk Modulus `K=Y/(3(1-2 sigma))=(207xx10^(9))/(3(1-2(0.36)))=(69xx10^(9))/0.28`
`=246.4xx10^(9)Nm^(-2)`
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS AND ANSWERS|1 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    SUBHASH PUBLICATION|Exercise NUMERICALS WITH SOLUTIONS|33 Videos

  • MOTION IN A STRAIGHT LINE

    SUBHASH PUBLICATION|Exercise NUMERICALS WITH SOLUTIONS|28 Videos

Similar Questions

Explore conceptually related problems

Youngs modulus for steel is 2xx10^(11)N//m^(2). What is its value in C.G.S UNITS ?

The solubility product of AgCl at a particular temperature is 1.08xx10^(-10)mol^(2)dm^(-6) . Calculate its solubility in 0.01 M HCl.

A piece of copper having a rectangular cross -section of 15.2 mm xx 19.1 mm is pulled in tention with 44,500 N force, producing only elastic deformation. Calculate the resulting strain ? Shear modulus of elasticity of copper is 42*10^9Nm^-2

A steet wire of length 4.7 m and cross - sectional area 3.0xx10^(-5)m^(2) stretches by the same amount as a copper wire of length 3.5 m and cross- sectional area of 4.0xx10^(-5)m^(2) under a given load. What is the ratio of the Young's modulus of steel to that of copper ?

A material breaks with a stress 2.0xx10^(6)Nm^(-2) and density 2.5xx10^(3)kgm^(-3) breaks under his own weight (g=9.8ms^(-2)) . Calculate its length.

(a) The mass of a particle moving with velocity 5xx 10^(6) ms^(-1) has de-Broglie wave length associated with it to be 0.135 nm. Calculate its mass. (b) In which region of the electromagnetic spectrum does this wave length lie?