A proton sists at coordinates (x,y)=(0, 0), and an electron at (d, h), where `d gt gt h`. At time `t=0` a uniform electric field E of unknown magnitude but pointing in the positive y direction is turned on. Assuming that d is large enough that the proton electron interaction is negligible, the y coordinates of the two particles will be equal (at equal time)

In a certain region uniform electric field E and magnetic field B are present in mutually opposite directions. At the instant t=0 , a particle of mass m carrying a charge q is given velocity v_(0) at angle theta , with the y- axis, in the yz plane. The time after which the speed of the particle would be minimum is equal to

Uniform electric field E and magnetic field B, respectively, are along y-axis as shown in the figure. A particle with specific charge q/m leaves the origin O in the direction of x-axis with an initial non-relativistic speed v_(0). The coordinate Y_(n) of the particle when it crosses the y-axis for the nth time is:

In a certain region of space, there exists a uniform and constant electric field of magnitude E along the positive y-axis of a coordinate system. A charged particle of mass m and charge -q (qgt0) is projected form the origin with speed 2v at an angle of 60^@ with the positive x-axis in x-y plane. When the x-coordinate of particle becomes sqrt3mv^2//qE a uniform and constant magnetic. field of strength B is also switched on along positive y-axis. x-coordinate of the particle as a function of time after the magnetic field is switched on is

In a certain region of space, there exists a uniform and constant electric field of magnitude E along the positive y-axis of a coordinate system. A charged particle of mass m and charge -q (qgt0) is projected form the origin with speed 2v at an angle of 60^@ with the positive x-axis in x-y plane. When the x-coordinate of particle becomes sqrt3mv^2//qE a uniform and constant magnetic. field of strength B is also switched on along positive y-axis. x-coordinate of the particle as a function of time after the magnetic field is switched on is

In a certain region of space, there exists a uniform and constant electric field of magnitude E along the positive y-axis of a coordinate system. A charged particle of mass m and charge -q (qgt0) is projected form the origin with speed 2v at an angle of 60^@ with the positive x-axis in x-y plane. When the x-coordinate of particle becomes sqrt3mv^2//qE a uniform and constant magnetic. field of strength B is also switched on along positive y-axis. z-coordinate of the particle as a function of time after the magnetic field is switched on is

An electron (mass m_(e ) )falls through a distance d in a uniform electric field of magnitude E. , The direction of the field is reversed keeping its magnitudes unchanged, and a proton(mass m_(p) ) falls through the same distance. If the times taken by the electrons and the protons to fall the distance d is t_("electron") and t_("proton") respectively, then the ratio t_("electron")//t_("proton") .