A solid sphere of radius R is floating in a liQuid of density P with half of its volume submerged. If the sphere is slightly pushed an released, it starts performing S.H.M. Frequency of these oscillations is .............

let m=mass of sphere. If sphere is gently pushed by small displacement x and released, restoring force f=πR²x(pho-(pho/2))

=kx, let ω be frequency of oscillations

ω=√(k/m)

The mass immersed be (rho)v/2 i.e 2/3pie(rho)R2 and total force on it will be 2pie(rho)gh2 divide force by mass to get accelaration then use t.p=2pie(root)of r/g tke its inverse to get answer