Solve Study Textbooks Guides

Join / Login

>>Class 12
>>Physics
>>Moving Charges and Magnetism
>>Motion of Charged Particle Combined in Magnetic Field and Electric Fields
>> $An electron is moving in a cyclotron at$

Question

An electron is moving in a cyclotron at a speed of $3.2 \times 1 0^{7} m s^{- 1}$ in a magnetic field of $5 \times 1 0^{4} T$ perpendicular to it. What is the frequency of this electron?
( $q = 1.6 \times 1 0^{- 19}$ C, $m_{e} = 9.1 \times 1 0^{31} k g)$

A

1.4 X $1 0^{5} H z$

B

1.4 X $1 0^{7} H z$

C

1.4 X $1 0^{6} H z$

D

1.4 X $1 0^{9} H z$

Medium

Open in App

Solution

Verified by Toppr

Correct option is B)

$V = 3.2 \times 1 0^{7} m s^{- 1}; B = 5 \times 1 0^{- 4} T$

The frequency of electron is
$v = \frac{q B}{2 π m} = \frac{1 . 6 \times 1 0 ^{- 19} \times 5 \times 1 0 ^{- 4}}{2 \times 3 . 1 4 \times 9 . 1 \times 1 0 ^{- 31}}$

$v = 1.4 \times 1 0^{7} H z = 14 M H z$

Solve any question of Moving Charges and Magnetism with:-

Patterns of problems

Patterns of problems

Was this answer helpful?

0

0

Similar questions

What is cyclotron frequency of an electron with an energy of 100 eV in the earth's magnetic field of $1 \times 1 0^{- 4} w e b e r / m^{2}$ if its velocity is perpendicular to magnetic field?

The cyclotron frequency of an electron grating in a magnetic field of 1 T is approximately :

A charge moves in a circle perpendicular to a magnetic field. The time period of revolution is independent of

The cyclotron frequency of an electron grating in a magnetic field of $1 T$ is approximately.

An electron at point A in figure has a speed $v_{o} = 1.41 \times 10^{6} m / s$ . Find the time required for the electron to move from A to B.

218655

View more

More From Chapter

Moving Charges and Magnetism

View chapter >

Revise with Concepts

Motion in the Presence of Electric and Magnetic Field

ExampleDefinitionsFormulaes

Cyclotron

ExampleDefinitionsFormulaes

Learn with Videos

Force on a moving charge in magnetic and electric fields

Construction, Working and Application of a Cyclotron - I

Construction, Working and Application of a Cyclotron - II

Shortcuts & Tips

Problem solving tips

Problem solving tips

Important Diagrams

Important Diagrams

Mindmap

Memorization tricks

Memorization tricks

Common Misconceptions

Common Misconceptions

Practice more questions

AIIMS Questions

Medium Questions