Orbit about star, emission spectrum of light

[unscientific]

Homework Statement

Show that in the Bohr model, the frequency of revolution of an electron in its nth

In classical physics, the frequency of revolution of the electron is equal to the
frequency of radiation it emits. Show that when n is very large, the frequency of
revolution is equal to the frequency radiated upon transition of the electron from orbit
(n+ 1) to n (Bohr’s correspondence principle). [5]
Assume that a proton is orbiting a black hole under the sole influence of gravity.
It produces an emission spectrum equivalent to that of a hydrogen atom, but with
frequencies multiplied by a factor of 10−6
. Disregarding relativistic effects, calculate
the mass of the black hole which would explain the observed emission spectrum. Show
that the radius of the proton’s orbit is proportional to the square of the quantum number
n and find the radius of the first orbit.

Homework Equations

The Attempt at a Solution

1 equation, 2 unknowns. Not sure how to calculate mass of star in the first place..

 

[unscientific]

anyone?

 

[milesyoung]

Have you found an expression for the frequency of revolution of the proton around the black hole?

 

[unscientific]

Have you found an expression for the frequency of revolution of the proton around the black hole?

Yes, it is simply the above * 10^-6. Problem is, to solve for M and r, I need at least 1 more equation