Q198 / 200 · WBJEE 2013 · Physics

If $E$ and $B$ are the magnitudes of electric and magnetic fields respectively in some region of space, then the possibilities for which a charged particle may move in that space with a uniform velocity of magnitude $v$ are

  • Correct answer
    A
    $E=v B$
  • B
    $E \neq 0, B=0$
  • Correct answer
    C
    $E=0, B \neq 0$
  • Correct answer
    D
    $E \neq 0, B \neq 0$

Solution

The charged particle will move with uniform velocity in that space if $E=0$ and $B \neq 0,$ since a moving charge in a magnetic field experience a force. Also if $E = 0, B \neq 0,$ the charged particle will move with uniform velocity in that space. If $E=v B$, then particle again moves with uniform velocity.

Hence, the correct answer is options: 'A', 'C', 'D'.

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