Embibe Experts Solutions for Chapter: Atoms, Exercise 1: cbse-2020

State Bohr’s postulate to define stable orbits in hydrogen atom. How does de Broglie’s hypothesis explain the stability of these orbits ?

A hydrogen atom initially in the ground state absorbs a photon which excites it to the $n=4$ level. Estimate the frequency of the photon.$(R=1.097\times {10}^7 {\mathrm{m}}^{-1})$

State Bohr$\text{'}$s quantization condition of angular momentum. Calculate the shortest wavelength of the Bracket series and state to which part of the electromagnetic spectrum does it belong. $(\mathrm{Planck}\text{'}\mathrm{s} \mathrm{constant}=6.6\times {10}^{-34 }\mathrm{J} \mathrm{s}, \mathrm{Rydberg}\text{'}\mathrm{s} \mathrm{constant}=1.097\times {10}^7 {\mathrm{m}}^{-1})$.

Calculate the orbital period of the electron in the first excited state of the hydrogen atom.

Which of the following statements is not correct according to Rutherford model?

According to Bohr’s atomic model, the circumference of the electron orbit is always an _____ multiple of de Broglie wavelength.

Using Bohr's atomic model, derive the expression for the radius of $n^{th}$ orbit of the revolving electron in the hydrogen atom.