Consider the motion of a positive point charge in a region, there are simultaneous uniform electric and magnetic fields E^{\to} = E_0j^{\^} and B^{\to} = B_0j^{\to}. At time t = 0, this charge has velocity v^{\to} in the xy-plane, making an angle θ with the x-axis. Which of the following option(s) is(are) correct for time t > 0? [JEE Adv 2012 P1]

If θ = 0°, the change moves in a circular path in the xy-plane.

If θ = 0°, the change undergoes helical motion with constant pitch along the y-axis.

If θ = 10°, the change undergoes helical motion with its pitch increasing with time, along the y-axis.

If θ = 90°, the change undergoes linear but accelerated motion along the y-axis.

IIT JEE Advanced 2012 Paper 1

Section: Physics

Question : 11 of 60

Marks: +1, -0

Consider the motion of a positive point charge in a region, there are simultaneous uniform electric and magnetic fields

→

= E0

and

→

= B0

→

. At time t = 0, this charge has velocity

→

in the xy-plane, making an angle θ with the x-axis. Which of the following option(s) is(are) correct for time t > 0?

[JEE Adv 2012 P1]

If θ = 0°, the change moves in a circular path in the xy-plane.
If θ = 0°, the change undergoes helical motion with constant pitch along the y-axis.
If θ = 10°, the change undergoes helical motion with its pitch increasing with time, along the y-axis.
If θ = 90°, the change undergoes linear but accelerated motion along the y-axis.

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