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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 .............

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 .............

Grade:11

2 Answers

Chetan Mandayam Nayakar
312 Points
9 years ago

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)

Antriksh
19 Points
4 years ago
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

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