(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Magnetic Fields, Deuterium and curved tracks

1. The problem statement, all variables and given/known data

A deuteron (the nucleus of an isotope of hydrogen) has a mass of [tex] m_D [/tex] and a charge of e. The deuteron travels in a circular path with a radius of r in a magnetic field with a magnitude of B.

Find the time required for it to make 1/2 of a revolution.

2. Relevant equations

Cyclotron frequency: [tex] \omega = \frac{v}{R} [/tex]

3. The attempt at a solution

IO have already calculated the velocity in the previous part to be:

[tex] \frac{reB}{m_D} [/tex]

Frequncy is 1/Period, so I get

[tex] period = \frac{1}{\frac{v}{R}} = \frac{R}{v} [/tex]

[tex] = \frac{r}{\frac{reB}{m_D}} [/tex]

Which I have rearranged to get:

[tex]\frac{m_D}{eB} [/tex]

Sincve this is for one whol revolution, I multiplied it by a half to get:

[tex]\frac{m_D}{2eB} [/tex]

Which Mastering Physics says is wrong, but also says:

Your answer is off by a multiplicative factor.

Any Ideas?

TFM

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Magnetic Fields, Deuterium and curved tracks

**Physics Forums | Science Articles, Homework Help, Discussion**