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A thin non conducting disc of mass M = 2...

A thin non conducting disc of mass M = 2 kg, charge `Q = 2 xx 10^(2-) C` and radius `R = (1)/(6)m` is placed on a frictionless horizontal plane with its centre at the origin of the coordinate system. A non- uniform, radial magnetic field `vecB = B_(0) hat(r)` is exists in space, where `B_(0)= 10 T` and `hat(r)` is a unit vector in the radially outward direction. The disc is set in motion with an angular velocity `omega = x xx 10^(2)" rad s"^(-1)`, about an axis passing through its centre and perpendicular to its plane, as shown in the figure. At what value of x, the disc will lift off from the surface.

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