Question

A conducting disc of mass 'm' and volume 'V' is suspended with the help of a light spring of force constant 'k' from a fixed support. Thickness of the disc is much smaller than its radius. A uniform magnetic field of induction 'B' parallel to the plane of the disc is established. The disc is slightly pulled down from equilibrium position and then released. If the time period of small oscillations of the disc is $2pisqrt{frac{alpha m}{k}}$. Find the value of $alpha$. (Take $varepsilon_0VB^2 = 2m$)

          A conducting disc of mass 'm' and volume 'V' is suspended with the help of a light spring of force constant 'k' from a fixed support. Thickness of the disc is much smaller than its radius. A uniform magnetic field of induction 'B' parallel to the plane of the disc is established. The disc is slightly pulled down from equilibrium position and then released. If the time period of small oscillations of the disc is $2pisqrt{frac{alpha m}{k}}$. Find the value of $alpha$. (Take $varepsilon_0VB^2 = 2m$)

$A conducting disc of mass 'm' and volume 'V' is suspended with the help of a light spring of force constant 'k' from a fixed support. Thickness of the disc is much smaller than its radius. A uniform magnetic field of induction 'B' parallel to the plane of the disc is established. The disc is slightly pulled down from equilibrium position and then released. If the time period of small oscillations of the disc is 2pisqrtfracalpha mk. Find the value of alpha. (Take varepsilon0VB^2 = 2m)$

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