Magnetism

A charge particle starts sliding down a frictionless slope of inclination " theta " in presence of a horizontal uniform and static magnetic field of induction B directed perpendicularly into the plane of the figure and uniform gravitational field of the earth. Intensity of the gravitational field is g. After sliding an unknown distance z, the particle leaves the slope and follows a cycloidal trajectory . If on the trajectory maximum vertical displacement of the particle is h. Find z it had slid on slope?

hcot^2thetha/6 hcot^2thetha/3 hcot^2thetha/7 hcot^2thetha/4

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