The wavelength and frequency of electromagnetic waves are related by:

*λ *= c / f (*where c = speed of light, f = frequency)

So to solve this equation we need to find **f.**

**f = 1 / T **(*where T = tension)

furthermore,

**T = 2*pi*R / v **(*where R = radius, v = velocity)

so now we need to solve for **R** and **v** in terms of **q** (charge), **B** (magnetic field), and **m** (mass of proton)

We do so by writing out the equation for the force of the proton we get:

**q*v*B*sin(90) = m*v^2 / R **(** sin(90) goes to 1)

solving for **R/v** we get:

**v/R = q*B / m **so** R/v = m / q*B**

plugging v/R into the equation for **T**, we get:

**T = 2*pi*m / q*B**

and so

**f = **** q*B / **** 2*pi*m**

plugging this back into the equation for wavelength our final answer should be: