Questions
There exists a uniform magnetic and electric field of magnitude 1 T and 1 V /m, respectively, along positive y-axis. A charged particle of mass 1 kg and of charge 1 C is having velocity 1 m/s along x-axis and is at origin at t = 0. Then the co-ordinates of particle at seconds will be
detailed solution
Correct option is D
The particle will move in a non-uniform helical path with increasing pitch as shown below.Its time period will be: T=2πmqB=2π secondsChanging the view, the particle is seemed to move in a circular path in (X - Z) plane as shown belowAfter π-seconds the particle will be at point 'P' (after completing half circle), hence X coordinate of P will be 0.yπ=0π+12 Eqmπ2 = π22z=2r=2mv/qB=2mHence, the coordinate 0, π22, 2Talk to our academic expert!
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A charged particle of mass m, carrying a charge Q is projected from the origin with a velocity . A uniform magnetic field exists in that region. Then maximum distance of the particle from x-axis is
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