1A hydrogen atom is in its third excited state (n = 4). Using the Bohr theory of

Question

1A hydrogen atom is in its third excited state (n = 4). Using the Bohr theory of the atom, calculate the following.
(a) the radius of the orbit



Apply the expression that results from the Bohr model assumptions in order to calculate the radius of the excited-state orbit. nm

(b) the linear momentum of the electron



Use the relations that result from imposing the Bohr quantization condition in order to determine the speed of the electron in the specified excited state orbit, and from that speed determine the linear momentum of the electron. kg

Explanation / Answer

for n=4 r=0.529*16=8.464A v=2.16*10^6/4 =5.4*10^5 m=1.6*10^-19 linear momentum=mv angular momentum=mvr k.e=0.5*m*v^2 p.e=-2*k.e total energy=-k.e

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