Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

10:00 AM to 7:00 PM IST all days.

Franchisee/Partner Enquiry (South)

Franchisee/Partner Enquiry (North, West & East)

OR

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

9372462318 / 9987178554

Mon to Sat - 10 AM to 7 PM

Please explain it too.

Asked by Arushi Juyal 13th December 2017, 7:13 AM
Answered by Expert
Answer:
Let us consider the electric charge is accelerated through a distance s under a potential difference V.
 
hence electric force acted on the charge is F = qE = q(V/s).
acceleration acquired by the charge is (F/m) = (q/m)(V/s).
 
if the charge started with zero velocity, after travelling a distance s and entering into the magnetic field with speed v = 2 (q/m)(V/s)×s = (2qV)/m
 
If radius of circular path travelled by the charge is d/2 (given), then we can write
begin mathsize 12px style q B v space equals space fraction numerator m v squared over denominator open parentheses begin display style bevelled d over 2 end style close parentheses end fraction space equals space fraction numerator 2 m v squared over denominator d end fraction
a f t e r space s u b s t i t u t i n g space f o r space v squared space comma space w e space g e t space
q B v space equals space fraction numerator 2 m over denominator d end fraction cross times fraction numerator 2 q V over denominator m end fraction space equals space fraction numerator 4 q V over denominator d end fraction
s q u a r i n g space b o t h space s i d e s space q squared B squared v squared space equals space fraction numerator 16 q squared V squared over denominator d squared end fraction
a g a i n space s u b s t i t u e space f o r space v squared space comma space w e space g e t space q squared B squared fraction numerator 2 q V over denominator m end fraction space equals space fraction numerator 16 q squared V squared over denominator d squared end fraction
a f t e r space s i m p l i f y i n g space fraction numerator B squared q over denominator m end fraction space equals space fraction numerator 8 V over denominator d squared end fraction
h e n c e space m space equals space fraction numerator q B squared d squared over denominator 8 V end fraction end style
Answered by Expert 13th December 2017, 5:17 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!
NEET QUESTION ANSWERS

Chat with us on WhatsApp