Rajnish Mishra
Last Activity: 14 Years ago
In the Bohr’s model, the wavelength associated with the electron is given by the de Broglie wavelength equation:
λ = h/(mv)
and the standing wave condition that circumference = whole number of wavelengths. In the hydrogenic case, the number n is the principal quantum number.
2πr = nλn
These can be combined to get an expression for the angular momentum of the electron in orbit:
Jn = mvr = hr/λ
Applying the equation (Jn = hr/λ) for wavelength of an electron in the nth orbit Xn and angular momentum Jn, we have:
hr
Jn = --------------
Xn
Hence Jn is inversely proportional to Xn; when r is fixed for nth orbit and h is plank constant.
Answer: 2