Home
Class 11
PHYSICS
The Young's modulus of a metal is 2 xx 1...

The Young's modulus of a metal is `2 xx 10^(12) " dyne/cm^(2))` and its breaking stress is `11000 kg//cm^(2)`. In case of longitudinal strain the maximum energy that can be stored per cubic metre of this metal is approximately (Assume `g= 10 m//s^(2)`)

A

`58.28 xx 10^(5) J`

B

`30.25 xx 10^(5) J`

C

`37.15 xx 10^(5) J`

D

`15.15 xx 10^(5) J`

Text Solution

Verified by Experts

The correct Answer is:
B
Energy density `(dU)/(dV)= (("Stress")^(2))/(2Y)`
where, Stress `= (11000 xx 9.81)/(10^(-4)) N//m^(2)`
Energy density `= 30.25 xx 10^(5) J`
Promotional Banner

Similar Questions

Explore conceptually related problems

Young's modulus of a metal is 21xx10^(10)N//m^(2) . Express it in "dyne/cm"^(2) .

The young's modulus of a material of wire is 12.6 xx 10^(11) "dyne"//cm^(2) . Its value is MKS system is

The Young's modulus of a material is 2xx10^(11)N//m^(2) and its elastic limit is 1xx10^(8) N//m^(2). For a wire of 1 m length of this material, the maximum elongation achievable is

The Young's modulus of steel is 1.9 xx 10^(11) Nm^(-2) . Calculate its value in dyne cm^(-2) .

Young 's modulus of steel is 2.0 xx 10^(11)N m//(2) . Express it is "dyne"/cm^(2) .

The Young's modulus of the material of a wire is 6 xx 10^(12) N//m^(2) and there is no transverse strain in it.then it modulus of rigidity will be

Bulk modulus of a material is 2.5xx10^(11)"dyne"//cm^(2) and Poisson's ratio is 0.4. Then young's modulus for such material ios

The bulk modulus of a metal is 8 xx 10^(9) Nm^(-2) and its density is 11 g cm^(-2) . The density of this metal under a pressure of 20000 N cm^(-2) will be (in g cm^(-3) )

Young modulus of steel is 3 xx 10^(11) N//m^(2) . When expressed in C.G.S. unit of "Dyne"//cm^(2) it will be equal to

For a steel rod, the Young's modulus of elasticity is 2.9xx10^(11)N//m^(2) , and the density of steel is 8xx10^(3)kg//m^(3) .What is the velocity of longitudinal waves in steel?