Part B The key insight that Bohr introduced to his model of the atom was that th
ID: 1564913 • Letter: P
Question
Part B The key insight that Bohr introduced to his model of the atom was that the angular momentum of the electron orbiting the nucleus was quantized. He introduced the postulate that the angular momentum could only come in quantities of nh/(2), where h is Planck's constant and n is a nonnegative integer (0,1,2,3,…). Given this postulate, what are the allowable values for the velocity v of the electron in the Bohr atom? Recall that, in circular motion, angular momentum is given by the formula L=mvr. Express your answer in terms of n, Planck's constant h, m, and r.
V = ?
Explanation / Answer
If m is the mass of elctron and v is the radius of the orbit and r is radius of the orbit.
angular momentum of the elctron, L = m*v*r
According to Bohr's theory
angular momentum of electron is conserved.
L = n*h/(2*pi) (where n = 1,2,3......)
m*v*r = n*h/(2*pi)
v = n*h/(2*pi*m*r) <<<<<<<<<--------Answer