Home
Class 11
PHYSICS
One end of a long metallic wire of lengt...

One end of a long metallic wire of length (L) is tied to the ceiling. The other end is tied to a massless spring of spring constant . (K.A) mass (m) hangs freely from the free end of the spring. The area of cross- section and the Young's modulus of the wire are (A) and (Y) respectively. If the mass is slightly pulled down and released, it will oscillate with a time period (T) equal to :

A

`2pisqrt((m)/(k))`

B

`2pisqrt((m(YA+kL))/(YAK))`

C

`2pisqrt((m(YA+kL))/(AK))`

D

`2pisqrt((m(Y+kL))/(YAK))`

Text Solution

Verified by Experts

The correct Answer is:
B
(b) `=k_(eq)=(k_(1)k_(2))/(k_(1)+k_(2))=((YAK)/(L))/((YA)/(L)+k)`

`=(YAK)/(YA+Lk)=2p[isqrt((m(YA=Lk))/(YAK))`
Promotional Banner

Similar Questions

Explore conceptually related problems

One end of a long mettalic wire of length L is tied to the ceiling. The other end is tied to massless spring of spring constant K. A mass M hangs freely from the free end of the spring. The area of cross-section and Young's modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T equal to

A metal wire of length L, area of cross-section A and Young's modulus Y behaves as a spring of spring constant k.

If a metal wire of length L, having area of cross-section A and young' s modulus Y . Behave as a spring of spring constant K. The value of K is

If a metal wire of length L , having area of cross-section A and Young's modulus Y , behaves as a spring constant K . The value of K is

A block of mass M is suspended from a wire of length L, area of cross-section A and Young's modulus Y. The elastic potential energy stored in the wire is

An object of mass m is suspended at the end of a massless wire of length L and area of cross -section A. Young modulus of the material of the wire is Y. If the mass is pulled down slightly its frequency of oscillation along the vertical direction is :

A mass (m) is suspended at the end of a weightless wire of length L, cross-sectional area A and Young's modulus Y. The period of oscillation for the S.H.M. along the vertical direction is,

A mass (m) is suspended at the end of a weightless wire of length L, cross-sectional area A and Young's modulus Y. The period of oscillation for the S.H.M. along the vertical direction is