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Q.

A thin non-conducting disc of mass M = 2kg, charge  Q=2×10-2C  and radius  R=16m is placed on a frictionless horizontal plane with its centre at the origin of the coordinate system. A non-uniform, radial magnetic field B¯=B0r^  exists in space, where  B0=10T and the disc is rotated with an angular velocity ω=x×102 rad/sec 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 leave contact with the surface. (Take g=10ms2  )

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answer is 9.

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Detailed Solution

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F=0RQπR22πrdr  ωrB023QωB0R=mg ω=9×102rad/s

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