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)

By motion of charged particles in uniform magnetic field

$r=\frac{mv}{qB}$
So, $r\propto v$
It travels in a circular path with a radius directly proportional to its velocity.