MENU
Question -

A monoenergetic (18 keV) electronbeam initially in the horizontal direction is subjected to a horizontalmagnetic field of 0.04 G normal to the initial direction. Estimate the up ordown deflection of the beam over a distance of 30 cm (me=9.11 × 10−19 C). [Note: Data inthis exercise are so chosen that the answer will give you an idea of the effectof earth’s magnetic field on the motion of the electron beam from the electrongun to the screen in a TV set.]



Answer -

Energy of an electron beam, E =18 keV = 18 × 103 eV

Charge on an electron, e =1.6 × 10−19 C

E =18 × 103 × 1.6 × 10−19 J

Magnetic field, B =0.04 G

Mass of an electron, me =9.11 × 10−19 kg

Distance up to which the electronbeam travels, = 30 cm = 0.3 m

We can write the kinetic energyof the electron beam as:

The electron beam deflects alonga circular path of radius, r.

The force due to the magnetic fieldbalances the centripetal force of the path.

Let the up and down deflection of the electron beambe 

Where,

θ =Angle of declination

Therefore, the up and downdeflection of the beam is 3.9 mm.

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
×