Question

A monoenergetic electron beam with electron speed of  is subjected to a magnetic field of  normal to the beam velocity. What is the radius of the circular path traced by the beam? Given .

Solution

Correct option is

15 cm

The radius of the circular path is 

         

            

            

             = 0.15 m 

             = 15 cm.

SIMILAR QUESTIONS

Q1

Two electron beams having velocities in the ratio of 1 : 2 are subjected separately to identical magnetic fields. The ratio of deflections produced is 

Q2

A uniform magnetic field is present in the vertically downward direction in a given region. When an electron is projected in a horizontal direction to the right, it will be moving in a circular path with constant speed 

Q3

In a cathode ray tube, the electrons are subjected to a potential difference of 182 V. The maximum speed acquired by the electrons is 

Q4

Electrons are projected with a velocity of  at right angles to a magnetic field of . If the radius of the circular path of electrons is 1 cm, what is the specific charge (charge to mass ratio) of electrons?

Q5

A proton projected with a velocity v describes a circle of radius r in a uniform magnetic field. With what velocity should an alpha-particle be projected so that it describes a circle of the same radius r in the same magnetic field?   

Q6

A proton projected with kinetic energy K describes a circle of radius r in a uniform magnetic field. With what kinetic energy should an -particle be projected in the same magnetic field so that it describes a circle of radius 2r?

Q7

A proton and an -particle projected with equal linear momenta describe circular paths of radii r1 and r2 respectively in a uniform magnetic field. The ratio  is

Q8

An -particle and a deuteron projected with equal kinetic energies describe circular paths of radii r1 and r2 respectively in a uniform magnetic field. The ratio  is  

Q9

In a cyclotron the speed of a charged particle is increased by

Q10

Two parallel plates are placed 5 cm apart in an evacuated tube and a potential difference of 200 V is applied across them. What is the force experienced by an electron at rest in the region between the plates?