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 the x-axis for a minimum value of $B = B_{0}$ . P will also strike T if :

Question

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 the x-axis for a minimum value of

B = B_{0}

. P will also strike T if :

Toppr Admin · Accepted Answer

Let d be the-xA0-distance of the target from the point of projection- P will strike T if d -xA0-is an integral multiple of pitch-Pitch-2-x3C0-mqBvcos-x3B8-

A charged particle P leaves the origin with speed v=v0 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 the x−axis for a minimum value of B=B0. P will also strike T ifB=2B0,v=2v0B=2B0,v=v0B=B02,v=2v0B=B0,v=2v0

Let d be the distance of the target from the point of projection. P will strike T if d is an integral multiple of pitch.Pitch=2πmqBvcosθ

Let $d$ be the distance of the target from the point of projection. $P$ will strike $T$ if $d$ is an integral multiple of pitch.

$P i t c h = \frac{2 π m}{q B} v cos θ$