Question

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

• A. in a straight line without acceleration
• B. with force in the direction of the field
• C. in a circular path with a radius directly proportional to $v^{2}$
• D. in a circular path with a radius directly proportional to its velocity

Answer 1

Answer: (D)

in a circular path with a radius directly proportional to its velocity

Answer 2

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.