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JEE Advanced2017PhysicsMagnetic Effects of CurrentActual

A charged particle is introduced at the origin x = 0 , y = 0 , z = 0 with a given initial velocity v → . A uniform electric field E → and a uniform magnetic field B → exist everywhere. The velocity v → , electric field E → and a uniform magnetic field B → are given in the columns below Column 1 Column 2 Column 3 1. Electron with v → = 2 E 0 B 0 x ^ (i) E → = E 0 z ^ (P)

Options

  1. A( 2 ) ( i i ) ( R )
  2. B( 4 ) ( i ) ( S )
  3. C( 3 ) ( i i ) ( R )
  4. D( 4 ) ( i i ) ( R )

Correct answer

B. ( 4 ) ( i ) ( S )

Step-by-step solution

For path to be helix with axis along +ve z-direction, particle should experience a centripetal acceleration in x-y plane. For the given set of options only option (4 ) ( i ) (S ) satisfy the condition. Path is helical with increasing pitch.

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