An object of mass is suspended at the end of a massless wire of length and area of cross-section. Young modulus of the material of the wire is If the mass is pulled down slightly its frequency of oscillation along the vertical direction is:
Step 1. Given data :
Mass ,
Length ,
Area of cross section ,
Youngs modulus ,
Step 2. Find the frequency :
Young's modulus is
(Where, is force, is change in length).
…….(1)
The force in terms of the spring constant is,
……..(2)
From the equation (1) and (2) of force, the spring constant is,
Frequency ,
Hence, option (A) is correct .