Advertisements
Advertisements
Question
When the electron orbiting in hydrogen atom in its ground state moves to the third excited state, show how the de Broglie wavelength associated with it would be affected.
Solution
The velocity of a electron in a hydrogen atom is given by the relation
`"v"_"n" = "e"^2/(2"n"epsilon_0"n") "so" "v"_"n" ∝ (1)/"n"` ...(i)
and the de Broglie wavelength associated with it is `lambda = "h"/"p" = "h"/"mv"`
So `lambda ∝ (1)/"v"_"n"` ...(ii)
using equation (i) and (ii) `lambda ∝ "n"`
So when electron jump from n = to n = 4 level
`lambda_1/lambda_2 = "n"_1/"n"_2 = (1)/(4)`
`lamda_2 = 4lambda_1`
So the wavelength increases four times.
APPEARS IN
RELATED QUESTIONS
Using Bohr's postulates, derive the expression for the orbital period of the electron moving in the nth orbit of hydrogen atom ?
Using Bohr’s postulates, obtain the expression for total energy of the electron in the nth orbit of hydrogen atom.
The dissociation constant of a weak base (BOH) is 1.8 × 10−5. Its degree of dissociation in 0.001 M solution is ____________.
According to Bohr's model of hydrogen atom, an electron can revolve round a proton indefinitely, if its path is ______.
The angular momentum of electron in nth orbit is given by
According to Bhor' s theory the moment of momentum of an electron revolving in second orbit of hydrogen atom will be.
Taking the Bohr radius as a0 = 53 pm, the radius of Li++ ion in its ground state, on the basis of Bohr’s model, will be about ______.
If a proton had a radius R and the charge was uniformly distributed, calculate using Bohr theory, the ground state energy of a H-atom when (i) R = 0.1 Å, and (ii) R = 10 Å.
The energy required to remove the electron from a singly ionized Helium atom is 2.2 times the energy required to remove an electron from Helium atom. The total energy required to ionize the Helium atom completely is ______.
A 20% efficient bulb emits light of wavelength 4000 Å. If the power of the bulb is 1 W, the number of photons emitted per second is ______.
[Take, h = 6.6 × 10-34 J-s]
