MHT CET · Physics · Atomic Physics
The product of linear momentum and angular momentum of an electron of the hydrogen atom is proportional to \(n^{x}\), where \(x\) is
- A 0
- B 1
- C \(-2\)
- D 2
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
Linear momentum \(=m v=\frac{m c Z}{137 n}\)
Angular momentum \(=\frac{n h}{2 \pi}\)
Given, Linear momentum \(\times\) angular momentum \(\propto n^{x}\) \(\frac{n c Z}{137 n} \times \frac{n h}{2 \pi} \propto n^{x}\)
\(n^{0} \propto n^{x}\)
\(\Rightarrow \quad x=0\)
Angular momentum \(=\frac{n h}{2 \pi}\)
Given, Linear momentum \(\times\) angular momentum \(\propto n^{x}\) \(\frac{n c Z}{137 n} \times \frac{n h}{2 \pi} \propto n^{x}\)
\(n^{0} \propto n^{x}\)
\(\Rightarrow \quad x=0\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Radiations of two photons having energies twice and five times the work function of metal are incident successively on metal surface. The ratio of the maximum velocity of photo electrons emitted in the two cases will beMHT CET 2023 Easy
- A progressive wave of frequency \(50 \mathrm{~Hz}\) is travelling with velocity \(350 \mathrm{~m} / \mathrm{s}\) through a medium. The change in phase at a given time interval of \(0 \cdot 01 \mathrm{~s}\) isMHT CET 2020 Medium
- Figure shows two semicircular loops of radii \(R_1\) and \(R_2\) carrying current \(I\). The magnetic field at the common centre ' \(\mathrm{O}\) ' is
MHT CET 2023 Hard - What is the output Y in the following circuit, when all the three inputs A, B, C are first 'zero' and then 'one'?
MHT CET 2024 Easy - In an n-p-n transistor amplifier, the collector current is 8 mA . If \(80 \%\) of the electrons from the emitter reach the collector, then ( \(\alpha\) and \(\beta\) are current ratios)MHT CET 2025 Medium
- In n-type semiconductor, free electrons donated by the impurity atoms occupy energy levels inMHT CET 2025 Easy
More PYQs from MHT CET
- A body is thrown from the surface of the earth with velocity 'V' \(\frac{\mathrm{m}}{\mathrm{s}}\). The maximum height above the earth's surface upto which it will reach is \((\mathrm{R}=\) radius of earth, \(\mathrm{g}=\) acceleration due to gravity)MHT CET 2020 Medium
- A photon of wavelength 3315 Ã… falls on a photocathode and an electron of energy
\(3 \times 10^{-19} \mathrm{~J}\) is ejected. The threshold wavelength of photon is [Planck's constant (h)
\(=6.63 \times 10^{-34} \mathrm{~J}-\mathrm{s}\), velocity of light \(\left.(\mathrm{c})=3 \times 10^{8} \mathrm{~m} / \mathrm{s}\right]\)MHT CET 2020 Easy - An electron in a hydrogen atom jumps from second Bohr orbit to ground state and the energy difference of the two states is radiated in the form of photons. These are then allowed to fall on a metal surface having a work-function equal to , then the stopping potential is [Energy of electron in orbit ]MHT CET 2017 Medium
- In the reaction, , isMHT CET 2019 Medium
- The strength of magnetic field at a perpendicular distance ' \(x\) ' near a long straight conductor carrying current ' \(I\) ' is ' \(B\) '. The magnetic. field at a distance \(\frac{\mathrm{X}}{3}\) from straight conductor will beMHT CET 2024 Medium
- What is the pH of buffer solution formed by mixing 0.01 M acetic acid and 0.05 M sodium acetate \(\left(\mathrm{pK}_2=4 \cdot 7447\right)\)MHT CET 2025 Easy