An object of mass is suspended at the end of a massless wire of length and area of…

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Solids · Mechanical Properties of Solids

Problem

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: (1)

f = \frac{1}{2\pi} \sqrt{\frac{mL}{YA}}

(2)

f = \frac{1}{2\pi} \sqrt{\frac{YA}{mL}}

(3)

f = \frac{1}{2\pi} \sqrt{\frac{mA}{YL}}

(4)

f = \frac{1}{2\pi} \sqrt{\frac{YL}{mA}}