The youngs modulus of the material of a ...

The youngs modulus of the material of a rod is `20xx10^10` pascal. When the longitudinal strain is 0.04%, The energy stored per unit volume is

`4 xx 10^(-3) J//m^3`

`8 xx 10^3 J//m^3`

`16 xx 10^(-3) J//m^3`

`16 xx 10^3 J//m^3`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MECHANICAL PROPERTIES OF SOLIDS
AAKASH SERIES|Exercise EXERCISE - 3|26 Videos
MECHANICAL PROPERTIES OF SOLIDS
AAKASH SERIES|Exercise EXERCISE - 2 (RIGIDITY MODULUS AND BULK MODULUS )|16 Videos
MECHANICAL PROPERTIES OF FLUIDS
AAKASH SERIES|Exercise EXERCISE-3|43 Videos
MOTION IN A PLANE
AAKASH SERIES|Exercise Practice Exercise|84 Videos

Similar Questions

Explore conceptually related problems

The poisson ratio for the material of a wire is 0.4. When a force is applied on the wire, longitudinal strain is (1/100) . The perecentage change in the radius of the wire is

Each of three blocks shown in figure has a mass 3kg. The wire connecting, blocks A and B has area of cross-section 0.005 cm^2 and Young's modulus of elasticity Y = 2xx10^11 N//m^2 . Neglect friction. Find the elastic potential energy stored per unit volume in wire connecting blocks A and B in steady state

If Young.s modulus of the material of a wire is 1.2xx10^(11) Nm^(-2) , calculate the work done in stretching the wire of length 3 m and cross-sectional area 4mm^(2) when it is suspended vertically and a load of 8 kg is attached to its lower end.

Under the application of force, a steel wire ( Y = 19xx10^10 N m^-2 ) of 5 m in length suffers an elongation of 1 mm. The potential energy stored per unit volume in this process, in J//m^3 is

Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. It the Young's modulus of steel is twice that of copper, the ratio of elastic energy stored per unit volume in steel to that of copper wire is

A metal rod of Young's modulus 2 xx 10^10 Nm^(-2) undergoes an elastic strain of 0.02% the energy per unit volume stored in the rod in joule/ m^3 is

A material has poissons ratio 0.5. If a uniform rod of it suffers a longitudinal strain of 2xx 10^(-3) , then the percentage increase in its volume 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 1m length of this material , the maximum elongation achievable is

AAKASH SERIES-MECHANICAL PROPERTIES OF SOLIDS-EXERCISE - 2 (STRAIN ENERGY )

A wire can be broken by 400 kg.wt. The load required to break the wire...
Text Solution
|
A cable breaks if stretched by more than 2mm. It is cut into two equal...
Text Solution
|
The breaking stress of steel is 7.9xx10^9 Nm^(-2) and density of steel...
Text Solution
|
A metal rod of Young's modulus 2 xx 10^10 Nm^(-2) undergoes an elas...
Text Solution
|
A metal wire of length 2.5m and area of cross section 1.5xx10^(-6) m^2...
Text Solution
|
A brass rod has length 0.2m area of cross section 1.0cm^2 and Young's ...
Text Solution
|
A steel wire of length 1.5 m and area of cross section 1.5mm^2 is str...
Text Solution
|
When a steel rod of length 2m is compressed its length decreases by 0....
Text Solution
|
The youngs modulus of the material of a rod is 20xx10^10 pascal. When...
Text Solution
|
Two wires of same radius and length are subjected to the same load. On...
Text Solution
|
A spring of force constant 800N/m has an extension of 5cm. The work do...
Text Solution
|
Two wires of the same material and length but diameters in the ratio 1...
Text Solution
|
The Young's modulus and rigidity modulus of a metal are 40 GPa and 20 ...
Text Solution
|
For a given material, young's modulus is 2.6 times the rigidity modulu...
Text Solution
|
The Young's modulus of steal is 210 GPa. Its poissions ratio is 0.3. T...
Text Solution
|
For a given material the Youngs modulus is 2.4 times that of its rigid...
Text Solution
|