Obtain the expression for the ratio of the de-Broglie wavelengths associated with the electron orbiting in the second and third excited states of hydrogen atom.
For hydrogen atom Z=1
from (1) and (2)
for second exited state n=3 and for third exited state n=4
Therefore the ratio of the de-Broglie wavelengths associated with the electron orbiting in the second and third excited states of the hydrogen atom is 3/4