Principal quantum number of an atom is related to the
- orbital angular momentum
- spin angular momentum
- size of the orbital
- orientation of the orbital in space
The Correct Option is C
Solution and Explanation
Top Questions on Quantum Mechanical Model of Atom
Given below are two statements:
In light of the above statements, choose the correct answer from the options given below:- JEE Main - 2025
- Chemistry
- Quantum Mechanical Model of Atom
- In a multielectron atom, which of the following orbitals described by three quantum numbers will have the same energy in absence of electric and magnetic fields?
A. \( n = 1, l = 0, m_l = 0 \)
B. \( n = 2, l = 0, m_l = 0 \)
C. \( n = 2, l = 1, m_l = 1 \)
D. \( n = 3, l = 2, m_l = 1 \)
E. \( n = 3, l = 2, m_l = 0 \)
Choose the correct answer from the options given below:- JEE Main - 2025
- Chemistry
- Quantum Mechanical Model of Atom
Given below are two statements:
- JEE Main - 2025
- Chemistry
- Quantum Mechanical Model of Atom
- A photon has an energy of \( 3.2 \times 10^{-19} \, \text{J} \). What is the frequency of the photon?
- MHT CET - 2025
- Physics
- Quantum Mechanical Model of Atom
- Total number of orbitals when \( n = 3 \)?
- KEAM - 2025
- Chemistry
- Quantum Mechanical Model of Atom
Questions Asked in JEE Advanced exam
The center of a disk of radius $ r $ and mass $ m $ is attached to a spring of spring constant $ k $, inside a ring of radius $ R>r $ as shown in the figure. The other end of the spring is attached on the periphery of the ring. Both the ring and the disk are in the same vertical plane. The disk can only roll along the inside periphery of the ring, without slipping. The spring can only be stretched or compressed along the periphery of the ring, following Hooke’s law. In equilibrium, the disk is at the bottom of the ring. Assuming small displacement of the disc, the time period of oscillation of center of mass of the disk is written as $ T = \frac{2\pi}{\omega} $. The correct expression for $ \omega $ is ( $ g $ is the acceleration due to gravity):
- JEE Advanced - 2025
- Waves and Oscillations
- Consider the vectors $$ \vec{x} = \hat{i} + 2\hat{j} + 3\hat{k},\quad \vec{y} = 2\hat{i} + 3\hat{j} + \hat{k},\quad \vec{z} = 3\hat{i} + \hat{j} + 2\hat{k}. $$ For two distinct positive real numbers $ \alpha $ and $ \beta $, define $$ \vec{X} = \alpha \vec{x} + \beta \vec{y} - \vec{z},\quad \vec{Y} = \alpha \vec{y} + \beta \vec{z} - \vec{x},\quad \vec{Z} = \alpha \vec{z} + \beta \vec{x} - \vec{y}. $$ If the vectors $ \vec{X}, \vec{Y}, \vec{Z} $ lie in a plane, then the value of $ \alpha + \beta - 3 $ is ________.
- If $$ \alpha = \int_{\frac{1}{2}}^{2} \frac{\tan^{-1} x}{2x^2 - 3x + 2} \, dx, $$ then the value of $ \sqrt{7} \tan \left( \frac{2\alpha \sqrt{7}}{\pi} \right) $ is.
(Here, the inverse trigonometric function $ \tan^{-1} x $ assumes values in $ \left( -\frac{\pi}{2}, \frac{\pi}{2} \right) $.)- JEE Advanced - 2025
- Integral Calculus
Let $ a_0, a_1, ..., a_{23} $ be real numbers such that $$ \left(1 + \frac{2}{5}x \right)^{23} = \sum_{i=0}^{23} a_i x^i $$ for every real number $ x $. Let $ a_r $ be the largest among the numbers $ a_j $ for $ 0 \leq j \leq 23 $. Then the value of $ r $ is ________.
- JEE Advanced - 2025
- binomial expansion formula
- The total number of real solutions of the equation $$ \theta = \tan^{-1}(2 \tan \theta) - \frac{1}{2} \sin^{-1} \left( \frac{6 \tan \theta}{9 + \tan^2 \theta} \right) $$ is
(Here, the inverse trigonometric functions $ \sin^{-1} x $ and $ \tan^{-1} x $ assume values in $[-\frac{\pi}{2}, \frac{\pi}{2}]$ and $(-\frac{\pi}{2}, \frac{\pi}{2})$, respectively.)- JEE Advanced - 2025
- Inverse Trigonometric Functions
Concepts Used:
Quantum Mechanical Model of the Atom
Quantum Mechanics:
Quantum mechanics is an evolving and much-advanced field of science that aims at understanding the properties of matter and objects in relation to their corresponding atomic and sub-atomic nature. It further illustrates the characteristics of the atoms, protons, electrons, and neutrons specifically and in the context of each other. It aims at studying electromagnetic radiation as well. This is a sub-part of the wider theory of quantum physics.
Read Also: Quantum Mechanical Model of Atom
Quantum Mechanical Models:
Presently, the scientific world has only two acceptable and working models of quantum mechanics. Such as,
- The first model for the understanding and application of quantum mechanics that is acceptable currently is the Bohr Model.
The basis of this model of the Bohr is seen in terms of mathematics which is used for understanding the complex structures.
- Another acceptable model is the Quantum Mechanics Model which has its basis in quantum theory.
This quantum theory ultimately defines the exact properties of matter over a period of time. It usually works on the uncertainty principle.