Given that the speed of an electron in the ground state of hydrogen is 2190 km/s,what is the speed of an electron in the n = 4 orbit of hydrogen?
A)547 km/s
B)31,000 km/s
C)139 km/s
D)178 km/s
E)2180 km/s

Question

Quizplus · Accepted Answer

The speed of an electron in a hydrogen atom orbit is inversely proportional to the principal quantum number n (v ∝ 1/n). Given the speed in the ground state (n=1) is 2190 km/s, for n=4, the speed is 2190/4 = 547.5 km/s, which rounds to 547 km/s.

Given That the Speed of an Electron in the Ground