ch10q9

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We are going to obtain a formula for the frequency of rotation that an electron has when orbiting a nucleus of charge Z, using the Bohr equations:
(Equation 1) m*v*r = n*hbar
(Equation 2) {m*v^2}/r = {Z*e^2}/{r^2}
(Equation 3) E = ½m*v^2 + {(-Z*e)*e)}/r
We will do this in guided stages.
In this derivation, assume n' = n+1. For each query, fill in using atomic constants only, i.e., `m' (= mass of electron), `Z' (= atomic number), Pi, `hbar' (= h/{2pi}), `e' (= charge on the electron), `n' =(a quantum number) and `pi' ( for 3.14159....). Use `sqrt()' for the square root.
NOTE:this is a difficult question to properly input your answers into the World Wide Web, so do not get discouraged if you get it wrong. Most likely you have a bracketing error.
First, obtain a formula for the velocity of an electron if it is in the n'th quantum state (In this first equation, we will offer you the correct answer so that you can see how the formatting goes, so just press the enter button for this first query.).
(1) v =

Query, is the above answer correct?