Home
Class 12
PHYSICS
Protons move rectilinearly in the region...

Protons move rectilinearly in the region of space where there are uniform mutually perpendicular electric and magnetic fields `E` and `B`. The trajectory of protons lies in the plane xz as shown in the figure and forms an angle 9 with x-axis. Find the pitch of the helical trajectory along which the protons will move after the electric field is switched off.

Text Solution

Verified by Experts

The correct Answer is:
A, B
When they are moving recitilinearly, net force is zero.
`:. qE=Bqvsin(90^@-theta)`
`:. v=E/(Bcostheta)`
When electric field is switched off ,
`p=((2pim)/(Bq))vcos(90^@-theta)`
`=(2pim Etantheta)/(qB^2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MAGNETICS

    DC PANDEY|Exercise INTRODUCTORY EXERCISE|1 Videos

  • MAGNETICS

    DC PANDEY|Exercise SUBJECTIVE_TYPE|1 Videos

  • MAGNETICS

    DC PANDEY|Exercise MCQ_TYPE|1 Videos

  • MAGNETIC FIELD AND FORCES

    DC PANDEY|Exercise Medical entrance s gallery|59 Videos

  • MAGNETISM AND MATTER

    DC PANDEY|Exercise Medical gallery|1 Videos

Similar Questions

Explore conceptually related problems

Non-relativistic protons move reactilinearly in the region of space where there are uniform mutually perpendicular electric and magnetic fields with E and B. The trajectory of the protons lie in the plane X-Y as shown in Fig. 1.107 and forms an angle phi with X-axis. Find the pitch of the helical trajectory along which the protons will move after the electric field is switched off.

Non-relativistic protons move rectinearly in the region of space where there are unifrom mutually perpendicular electric and magnetic fields with E = 4.0 kV//m and B = 50 mT . The trajectory of the protons lies in the plates xz (Fig) and forms an angle varphi = 30^(@) with the x axis. Find teh pithc of the helical trajectory along which the protons will move after the electric field is swiched off.

Knowledge Check

  • A beam of electrons passes undeflected through mutually perpendicular electric and magnetic fields. If the electric field is switched off, and the same magnetic field is maintained, the electrons move

    A
    in an elliptical orbit
    B
    in a circular orbit
    C
    along a parabolic path
    D
    along a straight line

  • A beam of electrons passes undeflected through mutually perpendicular electric and magnetic fields. If the electric field is switched off, and the same magnetic field is maintained, the electrons move

    A
    in an elliptical orbit
    B
    in a circular orbit
    C
    along a parabolic path
    D
    along a straight line

  • A charged particle of specific charge s moves undeflected through a region of space containing mutually perpendicular and uniform electric and magnetic fields, E and B. When the field E is switched off, the particle will move in a circular path of radius

    A
    `(E)/(Bs)`
    B
    `(Es)/(B)`
    C
    `(Es)/(B^(2))`
    D
    `(E)/(B^(2)s)`

    • Similar Questions

    Explore conceptually related problems

    A proton beam passes without deviation through a region of space where there are uniform transverse mutually perpendicular electric and magnetic field with E and B Then the beam strikes a grounded target. Find the force imparted by the beam on the target if the beam current is equal to I .

    A proton of mass m=1.67xx10^(-27) kg moves uniformly in a space where there are uniform, mutually perpendicular electric and magnetic fields with E_(z)=5 kV//m and B_(x)=40 mT at an angle phi=60^(@) with the x-axis in the xy-plane. Find the pitch of the trajectory after the electric field is switched off.

    A charged particle with specfic charge q//m starts moving in the region of space where there are unifrom mutually perpendicular electric and magnitude fields. The magentic field is constant and has an induction B while the strength of the electric field varies with time as E = E_(m) cos omega t , where omega = qB//m . For the non-relativistic case find the law of motion x(t) and y(t) of the particle if at the moment t = 0 it was located at the point O (see Fig). What is the appoximate shape of the trajectory of the particle?

    A particle of charge q is moving with velocity v in the presence of crossed Electric field E and Magnetic field B as shown. Write the condition under which the particle will continue moving along x- axis. How would the trajectory of the particle be affected if the electric field is switched off?

    In a region of space a uniform magnetic field perpendicular to the plane of the page and directed towards reader exists. A particle has a trajectory as shown in fig. The particle is-

    Home
    Profile