Structure of Atom

In a multielectron atom, which of the following orbitals described by three quantum numbers will have same energy in absence of electric and magnetic fields?
A. \(n=1,1=0,{m}_{1}=0\)
B. \(n=2,1=0,{m}_{1}=0\)
C. \(n=2,1=1,{m}_{1}=1\)
D. \(n=3,1=2,{m}_{1}=1\)
E. \(n=3,1=2,{m}_{1}=0\)

Choose the correct answer from the options given below:

[JEE Main 2025, 28 Jan (Shift 1)]

For hydrogen atom, the orbital/s with lowest energy is/are :
(A) 4 s
(B) \(3{p}_{x}\)
(C) \(3{d}_{{x}^{2}-{y}^{2}}\)
(D) \(3{d}_{{z}^{2}}\)
(E) \(4{p}_{z}\)

Choose the correct answer from the options given below :

The four quantum numbers for the electron in the outer most orbital of potassium (atomic no. 19) are

Consider the ground state of chromium atom (Z = 24). How many electrons are with Azimuthal quantum number l = 1 and l = 2 respectively ?

[JEE Main 2025, 4 Apr (Shift 2)]

Bohr's model is applicable for a single electron atom of atomic number Z. Dependency of frequency of rotation of electron in \({\mathrm{n}}^{\mathrm{th}}\) principal quantum number is proportional to (Memory Based Question 28/Jan/25 Evening shift)

A photon of wavelength 3000 \(\overset{^\circ }{\mathrm{A}}\) strikes a metal surface. The work function of the metal is 2.13 eV. What is the kinetic energy of the emitted photoelectron?
(h = 6.626 × \({10}^{-34}\) Js)

If radius of the first Bohr orbit of H-atom is \({\mathrm{a}}_{\mathrm{o}}\), then find the radius of 2nd Bohr's orbit of H-atom (memory based jee mains shift-1 29/01/2025)

The extra stability of half-filled subshell is due to
(A) Symmetrical distribution of electrons
(B) Smaller coulombic repulsion energy
(C) The presence of electrons with the same spin in non-degenerate orbitals
(D) Larger exchange energy
(E) Relatively smaller shielding of electrons by one another
Identify the correct statements

[JEE Main 2025, 7 Apr (Shift 2)]

An electron of \({\mathrm{He}}^{+}\) is present in 3^rd excited state. Find its De-broglie wavelength.

Given below are two statements :
Statement (I): It is impossible to specify simultaneously with arbitrary precision, both the linear momentum and the position of a particle.
Statement (II): If the uncertainty in the measurement of position and uncertainty in measurement of momentum are equal for an electron, then the uncertainty in the measurement of velocity is \(⩾\sqrt{\frac{h}{\pi }}\times \frac{1}{2m}\).
In the light of the above statements, choose the correct answer from the options given below :

Correct statements for an element with atomic number 9 are
(i). There can be 5 electrons for which \({\mathrm{m}}_{\mathrm{s}}=+\frac{1}{2}\) and 4 electrons for which \({\mathrm{m}}_{\mathrm{s}}=-\frac{1}{2}\)
(ii). There is only one electron in \({p}_{z}\)orbital
(iii). The last electron goes to orbital with \(\mathrm{n}=2\) and \(l=1\)
(iv). The sum of angular nodes of all the atomic orbitals is 1 .

Choose the correct answer from the options given below:

Radius of the first excited state of Helium ion is given as : \({a}_{0}\to\) radius of first stationary state of hydrogen atom

[JEE Main 2025, 22 Jan (Shift 1)]

Consider the following statements :
(A) The principal quantum number ‘n’ is a positive integer with values of ‘n’ = 1, 2, 3, …
(B) The azimuthal quantum number ‘l’ for a given ‘n’ (principal quantum number) can have values as ‘l’ = 0, 1, 2, … n
(C) Magnetic orbital quantum number ‘m_l ’for a particular ‘l’ (azimuthal quantum number) has (2l + 1)values.
(D) ±1/ 2 are the two possible orientations of electron spin.
(E) For l = 5,there will be a total of 9 orbital
Which of the above statements are correct ?

Radius of electron in ground state for hydrogen is \({a}_{o}\), then radius of electron in \({\mathrm{He}}^{+}\)ion in \({3}^{\mathrm{rd}}\) excited state is a. Then \(\frac{{\mathrm{a}}_{\mathrm{o}}}{\mathrm{a}}\) is:

(Memory Based JEE Mains 22/01/2025,Shift -1)

Radius of electron in ground state for hydrogen is \({a}_{o}\), then radius of electron in \({\mathrm{He}}^{+}\)ion in \({3}^{\mathrm{rd}}\) excited state is a. Then \(\frac{{\mathrm{a}}_{\mathrm{o}}}{\mathrm{a}}\) is:

(Memory Based JEE Mains 22/01/2025,Shift -1)

If \({a}_{0}\) is denoted as the Bohr radius of hydrogen atom, then what is the de-Broglie wavelength \((\lambda )\) of the electron present in the second orbit of hydrogen atom? [n : any integer]

[JEE Main 2025, 29 Jan (Shift 1)]

The four quantum numbers for the electron in the outer most orbital of potassium (atomic no. 19) are

The correct order of energy of the following subshell is

1s, 2s, 3p, 3d

(Memory Based Question 28/Jan/25 Evening shift)

The energy of an electron in the ground state (n = 1) for \({\mathrm{He}}^{+}\) ion is \(-\mathrm{x}\) Joules then that for an electron in n = 2 state for \({\mathrm{Be}}^{3+}\)ion in Joule is

According to Bohr's model, the highest kinetic energy is associated with the electron in the:

Heat treatment of muscular pain involves radiation of a wavelength of about 900 nm. Which spectral line of the H atom is suitable for this?

(Rydberg constant \({\mathrm{R}}_{\mathrm{H}}={10}^{5}{\mathrm{cm}}^{-1},\mathrm{h}=6.6\times {10}^{-34}\mathrm{Js},\mathrm{c}=3\times {10}^{8}\mathrm{m}/\mathrm{s}\))

[JEE Main 2025, 23 Jan (Shift 1)]

The correct set of four quantum numbers for the valence electron of rubidium atom \((\mathrm{Z}=37)\) is :

The quantum numbers of four electrons are given below

I. \(n=4 ; l=2 ; m_l=-2 ; s=-\frac{1}{2}\)
II. \(n=3 ; l=2 ; m_l=1 ; s=+\frac{1}{2}\)
III. \(n=4 ; l=1 ; m_l=0 ; s=+\frac{1}{2}\)
IV. \(n=3 ; l=1 ; m_l=-1 ; s=+\frac{1}{2}\)

The correct decreasing order of energy of these electrons is

[Re-NEET 2024]

Which of the following energy order is correct for H-atoms?

Memory Based Question 28/Jan/25 Evening shift

If the de-Broglie wavelength of a particle of mass (m) is 100 times its velocity,

then its value in terms of its mass (m) and Planck constant (h) is:

Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom?
(A) 1s < 2p < 3d < 4s
(B) \(1s<2s=2p<3s=3p\)
(C) 1s < 2s < 2p < 3s < 3p
(D) \(1s<2s<4s<3d\)

Choose the correct answer from the options given below :

Given below are two statements :

Statement (I) : A spectral line will be observed for a 2p_x → 2p_y transition.

Statement (II) : \(2{\mathrm{p}}_{\mathrm{x}}\mathrm{and}2{\mathrm{p}}_{\mathrm{y}}\)are degenerate orbitals.

In the light of the above statements, choose the correct answer from the options given below :

If radius of the first Bohr orbit of H-atom is \({\mathrm{a}}_{\mathrm{o}}\), then find the radius of 2nd Bohr's orbit of H-atom (memory based jee mains shift-1 29/01/2025)

Which of the following has the same energy in the absence of electric and magnetic field for the hydrogen atom? (Memory-based Question 28/ Jan/25 morning shift )