Home
Class 11
PHYSICS
A wire having a length L and cross- sect...

A wire having a length `L` and cross- sectional area `A` is suspended at one of its ends from a ceiling . Density and young's modulus of material of the wire are `rho` and `Y`, respectively. Its strain energy due to its own weight is `(rho^(2)g^(2)AL^(3))/(alphaY)`. Find the value of `alpha `

A

`(rho^(2) g^(2) L^(3) xx pi r^(2))/(3Y)`

B

`(rho^(2) g^(2) L^(3) xx pi r^(2))/(6Y)`

C

`(rho^(2) g^(2) L^(3) xx pi r^(2))/(2Y)`

D

`(rho^(2) g^(2) L^(3) xx pi r^(2))/(5Y)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise Comprehension-1:|2 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise Comprehension-2:|2 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise COMPREHENSION TYPE|11 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NARAYNA|Exercise EXERCISE - III|30 Videos

  • MOTION IN A PLANE

    NARAYNA|Exercise Level-II(H.W)|31 Videos

Similar Questions

Explore conceptually related problems

A wire of length l and cross-sectional are A is suspended at one of its ends from a ceiling. What will be its strain energy due to its own weight, if the density and Young's modulus of the material of the wire be d and Y?

A wire having a length 1 m and cross-section area 3mm^(2) is suspended at one of its ends from a ceiling. What will be its strain energy due to its own weight, if the density and Young's modulus of the material of the wire be 10 g//cm^(3) and 1.2xx10^(11)N//m^(2) respectively.

A wire of length L and cross sectional area A is made of a material of Young's modulus Y. If the wire is streched by an amount x, the work done is………………

A wire of length L and area of cross-section A, is stretched by a load. The elongation produced in the wire is I. If Y is the Young's modulus of the material of the wire, then the torce corstant of the wire is

A wire of length L and cross-sectional area A is made of material of Young's modulus Y. The work done in stretching the wire by an amount x is

Two wires have identical lengths and areas of cross-section are suspended by mass M . Their Young's modulus are in the ratio 2:5 .

Two wires of equal length and cross-section area suspended as shown in figure. Their Young's modulus are Y_(1) and Y_(2) respectively. The equavalent Young's modulus will be