Find the mass of this ion moving in a magnetic field

In summary, the equation for calculating the mass of an ion in a magnetic field is M = qB/rω, and the magnetic field causes the ion to move in a circular or helical path, depending on the direction of the field and the ion's charge. The mass of an ion does not directly affect its velocity in a magnetic field, but a higher velocity can result in a larger orbit radius and impact the calculation of its mass. The mass of an ion in a magnetic field can be measured using a mass spectrometer, which utilizes magnetic and electric fields to separate ions based on their mass-to-charge ratio. The mass of an ion in a magnetic field remains constant as long as the magnetic field strength and other variables remain constant,
  • #1
Bolter
262
31
Homework Statement
See below
Relevant Equations
F = Bqv
F = mv^2/r
Screenshot 2020-03-08 at 14.23.15.png

I had started off by equating the magnetic force to the centripetal force, to find the mass of a single ion. Then calculated the mass of what 1 mole of that ion would weigh to identify what the ion is

IMG_4058.jpg


Hence the answer would be nitrogen (option C) as 1 mole of nitrogen weighs 14g
Would this be the right way of going about it?

Thanks for any help!
 
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  • #2
Looks fine to me
 
  • #3
Cutter Ketch said:
Looks fine to me

Ok thank you, was getting different values beforehand but I believe I must have type the numbers in incorrectly into the calculator
 

FAQ: Find the mass of this ion moving in a magnetic field

How do you calculate the mass of an ion moving in a magnetic field?

The mass of an ion moving in a magnetic field can be calculated using the formula m = qB/r, where m is the mass of the ion, q is the charge of the ion, B is the strength of the magnetic field, and r is the radius of the ion's circular path.

What is the unit of measurement for the mass of an ion in a magnetic field?

The unit of measurement for the mass of an ion in a magnetic field is typically in atomic mass units (amu) or kilograms (kg).

How does the strength of the magnetic field affect the mass of an ion?

The strength of the magnetic field directly affects the mass of an ion by determining the radius of its circular path. A stronger magnetic field will result in a smaller radius and therefore a smaller mass, while a weaker magnetic field will result in a larger radius and a larger mass.

Can the mass of an ion in a magnetic field change?

Yes, the mass of an ion in a magnetic field can change if the strength of the magnetic field or the charge of the ion changes. However, the mass of the ion itself will not change.

What is the significance of finding the mass of an ion in a magnetic field?

Finding the mass of an ion in a magnetic field is important in understanding the behavior of charged particles in a magnetic field. It can also help in determining the identity of the ion and its properties, such as its charge and velocity.

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