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Suppose in an insulating medium, having ...

Suppose in an insulating medium, having di-electric constant k= 1, volume density of positive charge varies with y-coordinate according to law `rho = ay`. A particle of mass m having positive charge q is placed in the medium at point A `(0,y_(0))`J and projected with velocity `vecv = v_(0)hati` as shown in figure. Neglecting gravity and frictional resistance of the medium and assuming electric field strength to be zero at y = 0, calculate slope of trajectory of the particle as a function of y :

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The correct Answer is:
`[sqrt((qa)/(3mepsi_(0)v_(0)^(2))(y^(3)-y_(0)^(3)))]`
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