Physics - Magnetism Question with Solution | TestHub

In a region of space a uniform magnetic field exist in positive z direction and there also exists a uniform electric field along positive y direction. A particle having charge +q and mass m is released from rest at the origin. The particle moves on a curve known as cycloid. If a wheel of radius R were to roll on the X axis, a fixed point on the circumference of the wheel would generate this cycloid. It is given that strength of magnetic and electric fields are ${\mathrm{B}}_0$ and ${\mathrm{E}}_0$ respectively. Radius, $\mathrm{R}=\frac{{\mathrm{nmE}}_0}{7\mathrm{q}{\mathrm{B}}_0^2}$. Find n.