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 if

Question

Infinity Learn · Accepted Answer

Let d $$=$$ distance of the target T from the point of projection. P will strike T if d is an integral multiple of the pitch. Pitch $$=2$$$$π$$mQBvcos⁡θ$$=kvBwhere$$ k $$=$$ constantInitially. pitch: $$d=kv0B0For$$ the given options if pitch d′$$=d2$$,$$d3$$,$$d4$$,…, etc., then charge will hit the target.

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 if

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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 if

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Ready to Test Your Skills?

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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 if