0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

A particle of charge q and mass m moves in a circular orbit of radius r with angular speed ω. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on
  1. ω and q
  2. ω, q and m
  3. q and m
  4. ω and m

A
ω and q
B
q and m
C
ω, q and m
D
ω and m
Solution
Verified by Toppr

The angular momentum L of the particle is given by
L=mr2w where w=2πn.
Frequency n=w2π;
Further i=q×n=wq2π
Magnetic Moment, M=iA=wq2π×πr2;
M=wqr22
So, ML=wqr22mr2w=q2m
Thus the required ratio depends upon both q and m.

Was this answer helpful?
5
Similar Questions
Q1

A particle of charge ‘q’ and mass ‘m’ moves in a circular orbit of radius ‘r’ with angular speed ω. The ratio of the magnitude of its magnetic moment to that of angular momentum depends on


View Solution
Q2
A particle of charge q and mass m moves in a circular orbit of radius r with angular speed ω. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

View Solution
Q3
A particle of charge q and mass m moves in a circular orbit of radius r with angular speed ω. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on
View Solution
Q4
A particle of charge q and mass m moves in a circular orbit of radius r, with angular speed ω. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on -
View Solution
Q5
A thin disc of radius R and mass M has charge q uniformly distributed on it. It rotates with angular velocity ω. The ratio of magnetic moment and angular momentum for the disc is?
View Solution