Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • State the principle of a cyclotron. Show that the time period of revolution of particles in a cyclotron is independent of their speeds. Why is this property necessary for the operation of a cyclotron?   <div style="float:left; wid

State the principle of a cyclotron. Show that the time period of revolution of particles in a cyclotron is independent of their speeds. Why is this property necessary for the operation of a cyclotron?

 

 

 

 
 
 
 
 

Answers (1)

A cyclotron use both electric and magnetic field to increase the energy of charged particle.

\rightarrow The fields are perpendicular to each other

\rightarrow The magnetic field makes the charge to move in the circular path and alternating electric field accelerates the charged particles.

We have

\frac{mv^{2}}{r}=qvB

r=\frac{mv}{qB}, T = \frac{2\pi r}{v}

\therefore T=\frac{2\pi m}{qB}

T is independent of speed of the charged particle.

This property ensures that the cyclotron frequency matches the frequency of alternating electric field and charged particles get accelerated continuously.

Posted by

Safeer PP

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

Board Exam Result 2025 Live: UK Board 10th, 12th results tomorrow; AP SSC, TS Inter, UP, CBSE updates
anam-khan

When will CBSE Class 12 results 2025 be declared? Last two years' trends
anam-khan

CBSE Class 10, 12 board exams 2025 from April 7 to 11 for sports students

Latest Question