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  • A charged particle P leaves the origin with speed  at some inclination with the x-axis.There is a uniform

A charged particle P leaves the origin with speed v=v_0 at some inclination with the x-axis.There is a uniform magnetic field B along the x-axis. P strikes a fixed target  T on x-axis for a minimum value of B=B_0.P will also strike T if

Option: 1

B=2B_0,V=2V_0


Option: 2

B=2B_0,V=V_0


Option: 3

Both are correct.


Option: 4

Both are wrong.


Answers (1)

best_answer

The pitch of helix -

 

P=(V\cos \theta )T=\frac{2\pi m}{qB}(V\cos \theta )

-For the minimum value of B, it is colliding after one pitch,it will collide with the target again if a pitch is halved or remains constant

P=(v\cos \theta )\left ( \frac{2\pi m}{Bq} \right )

P\: \alpha \: \frac{V}{B}

Posted by

Gaurav

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