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Magnetism

Cool goIITian

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3 Jan 2012 20:09:44 IST

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magnetic field

Physics

two particles,each having a mass m are placed at a separation d in a uniform magnetic field

both of opposite charges q with same magnitude (with magnetic field into the plane of ur screen)

at time t=0 both the particles are projected towards each other,each with a speed of v.Than at what instant will a colllision occur between the particles if v = v_m

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Comments (4)

sharrmad prabhu verlekar

Cool goIITian

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3 Jan 2012 20:11:55 IST

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sorry, if v = 2vm

AAA

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Joined: 10 Jan 2012

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14 Jan 2012 14:47:56 IST

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If v=vm => m=1??????? I think it should be v=dm

sharrmad prabhu verlekar

Cool goIITian

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15 Jan 2012 00:21:59 IST

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ya i have mentioned v=2vm

Krishna Gopal Singh

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26 Jan 2012 10:41:29 IST

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You have not mentioned what is vm. I am assuming that vm is the minimum velocity required for collision which will happen if cyclotron radius is d/2.

If v = 2vm , the radius of circular path will be 2*(d/2) = d.

Vertical displacement of particles = d/2. If @ is the angle subtended by their path on the center of circle then

sin(@) = (d/2)/d = 1/2 Sp @ = pi/6

So time taken = (pi/6)/(2pi)*Time of one revolution = (1/12)*(2*pi*m/(qB)) =pi*m/(6qB)

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