Q.

A particle of mass m and charge q is thrown from origin at t=0 with velocity 2i+3j+4k units in a region with uniform magnetic field B=2i units. After time t=πm/qB, an electric field E is switched on such that particle moves on a straight line with constant speed. E may be;

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

6k+8j units

b

6k8j units

c

5k10j units

d

6k9j units

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

detailed_solution_thumbnail

In time T2=πmqBWhich is half of revolution time 

Velocity will get reversed in yz plane which is given as

v=2i3j4k

Net  force on the particle is

q(E+V×B)=0

  E=(V×B)=(2i3j4k)×2i=6k+8j

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon