A non conducting uniform solid sphere of mass m and radius R having uniform volume charge density and in two hemispherical halves as shown in figure. It is then placed on a rough non conducting horizontal plane. At t = 0 a uniform electric field is switched on and the solid sphere starts rolling without sliding. The magnitude of frictional force at t = 0 is where K is a positive integer. Find the value of K. (Take )
Charges can be assumed to be concentrated at center of mass of respective hemispheres.
Distance of COM from center of sphere is .
Dipole Moment,
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