Question
State Bohr'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.

Answer

Ans. According to Bohr's quantization of angular momentum, the stationary orbits are those in which angular momentum of electron is an integral multiple of $\frac{h}{2\pi}$.
$\lambda_{min}=\frac{16}{R}m$
$ = \frac{16}{1.098\times10^{7}}=14.599\times10^{-7}m$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Find an expression for intensity of transmitted light when a polaroid sheet is rotated between two crossed polaroids. In which position of the polaroid sheet will the transmitted intensity be maximum?
A body rotates about a fixed axis with an angular acceleration of one radian/ second/ second. Through what angle does it rotate during the time in which its angular velocity increases from 5rad/s to 15rad/s.
An electronically driven loudspeaker is placed near the open end of a resonance column apparatus. The length of air column in the tube is $80\ cm$. The frequency of the loudspeaker can be varied between $20Hz-2kHz$. Find the frequencies at which the column will resonate. Speed of sound in air $= 320m/s.$
Arrange the following electromagnetic waves in the order of their increasing wavelength :
a. $\gamma$-rays
b. Microwaves
c. X-rays
d. Radio waves
How are infra-red waves produced? What role does infra-red radiation play in
i. maintaining the Earth's warmth and
ii. physical therapy?
Write two important limitations of Rutherford nuclear model of the atom.
Explain the refraction of a plane wave from rarer medium to a denser medium, using Huygen's principle.
Derive the equation of average power for $\text{L - C - R}$ series $AC$ circuit.
The $\text{K}_\beta$ X-ray of argon has a wavelength of 0.36nm. The minimum energy needed to ionize an argon atom is 16eV. Find the energy needed to knock out an electron from the K shell of an argon atom.
What is electron emission ? Explain its types.
A metal rod of length ' $\ell$ ' is placed normal to a uniform magnetic field 'B' and moved with a constant linear speed 'v' perpendicular to the magnetic field. Then find the induced motional e.m.f. between its ends. Draw the necessary diagram.