A particle having mass m and charge q moves in a circular path in a magnetic field of strength B. If the radius of the circular path is r, the time required by this particle to complete one revolution is:
Elimination Tool
The following formula can be used to determine how long it takes a particle to make one revolution in a circular path of radius r:
T = 2πr/v
where v is the particle’s velocity. F = qvB is the formula for the force acting on a charged particle q moving at velocity v in a magnetic field of strength B. The centripetal force mv²/r is provided by the force, so we have:
qvB = mv²/r
After calculating v, we obtain:
v = (qBr/m)
When we replace T in the formula with this value of v, we obtain:
T = 2πr/v = 2πm/qB
As a result, the particle needs 2πm/qB to complete one revolution. Answer A is right.
The following formula can be used to determine how long it takes a particle to make one revolution in a circular path of radius r:
T = 2πr/v
where v is the particle’s velocity. F = qvB is the formula for the force acting on a charged particle q moving at velocity v in a magnetic field of strength B. The centripetal force mv²/r is provided by the force, so we have:
qvB = mv²/r
After calculating v, we obtain:
v = (qBr/m)
When we replace T in the formula with this value of v, we obtain:
T = 2πr/v = 2πm/qB
As a result, the particle needs 2πm/qB to complete one revolution. Answer A is right.