For the answer to the following post, do you mean that the frequency does not depend on the radius?
Posted by Johnny on Saturday, March 13, 2010 at 5:49pm.
The frequency of circular motion for a charged particle moving around in the presence of a uniform magnetic field does not depend on ...
a)The radius of the circle
b)The mass of the particle
c) The charge of the particle
d) The magnitude of the magnetic field
e) Actually, it depends on all of the above quantities.
Please explain.
* Physics - bobpursley, Saturday, March 13, 2010 at 6:14pm
farside.ph.utexas.edu/teaching/316/lectures/node73.html
a) is a wrong answer, b,c,d are correct.
w=qB/mass The radius is determined by q,B and mass, and velocity.
Did you look at the link? http://farside.ph.utexas.edu/teaching/316/lectures/node73.html
read it.
Note that angular frequency (2PI*freq) does not depend on velocity, or radius, but rather
w= qB/m
In the given post, the question is asking which factors the frequency of circular motion for a charged particle moving around in the presence of a uniform magnetic field does not depend on. The options are the radius of the circle, the mass of the particle, the charge of the particle, the magnitude of the magnetic field, or all of the above.
To determine the correct answer, we can first recall the formula for the frequency of circular motion in this scenario, which is given by:
f = qB / (2πm)
where f is the frequency, q is the charge of the particle, B is the magnitude of the magnetic field, and m is the mass of the particle.
The question is asking for factors that the frequency does not depend on. From the formula, we can see that the frequency is directly proportional to the charge of the particle and the magnitude of the magnetic field, and inversely proportional to the mass of the particle. Therefore, the frequency does not depend on the mass of the particle. So, option b) "The mass of the particle" is correct.
On the other hand, the frequency does depend on the charge of the particle and the magnitude of the magnetic field, and it also depends on the radius of the circle. The radius is determined by the velocity of the particle, which depends on the charge, mass, and magnetic field.
Therefore, the correct answer to the question is e) "Actually, it depends on all of the above quantities," as the frequency of circular motion does depend on the radius, charge, mass, and magnetic field.