An electrically charged particle enters into a uniform magnetic induction field in a direction perpendicular…

An electrically charged particle enters into a uniform magnetic induction field in a direction perpendicular to the field with a velocity $v$. Then, it travels
  1. in a straight line without acceleration
  2. with force in the direction of the field
  3. in a circular path with a radius directly proportional to $v^2$
  4. in a circular path with a radius directly proportional to its velocity

Solution

By motion of charged particles in uniform magnetic field
$ r=\frac{m v}{q B} $ So, $r \propto v$ It travels in a circular path with a radius directly proportional to its velocity

Asked in: AP EAMCET 2014

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