A particle of mass m and charge q enters with velocity v0 perpendicular to a magnetic field B (coming out of the plane of the paper) as shown in the figure. It moves in the magnetic field for time t=πm4qB, and then enters into a constant electric field region. The electric and magnetic fields are present only in a rectangular region of thickness d. The length of rectangular region is l. The particle enters parallel to and grazing the side RQ and leaves the region at P.Given : v0=(√2+1)ms−1.
EB=8 ms−1,l=∣∣∣4√25v0∣∣∣ metres and mqB=45
Time taken by the particle to cross the electric field region is