In a region, magnetic field along x-axis changes according to the graph given in fig.

If time period, pitch and radius of helix path are `T_0, P_0 and R_0`, respectively, and if the particle is projected at an angle `theta_0` with the positive x-axis towards positive y-axis in x-y plane, then
select the correct statement:

In a region magnetic field along x axis changes with time according to the given graph. If time period, pitch and radius of helix path are T_(0),P_(0) and R respectively then which of the following is incorrect if the paticle is projected at an angle theta_(0) with the positive x -axis in x-y plane from origin:

A plane mirror is placed along positive x-axis facing towards positive y-axis. If the equation of a linear object is x=y, the equation of its image is

A plane mirror is placed along positive x-axis facing towards positive y-axis. If the equation of a linear object is x=y, the equation of its image 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

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. Velocity of the particle just before 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. Velocity of the particle just before the magnetic field is switched on is