Q JEE MAIN_2026

Consider two radiations of wavelengths

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The Bohr radius of a hydrogen like species is 70.53 pm . The species and the stationary state ( n...

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Match the LIST-I with LIST-II Choose the correct answer from the options given below:

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If shortest wavelength of hydrogen atom in Lyman series is $x$, then longest wavelength in Balmer series of $\mathrm{He}^{+}$is:

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Which of the following statement(s) is/are true ? A. If two orbitals have the same value of $(\mathrm{n}+l)$, the orbital...

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Identify the correct statements from the following : A. Heisenberg uncertainty principle is applicable to electrons. B. The size of...

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Arrange the following atomic orbitals of multi electron atoms in order of increasing energy. Choose the correct answer from the...

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The species having identical radii according to the Bohr's theory are: A. H (first orbit) B. $\mathrm{He}^{+}$(first orbit) C. $\mathrm{He}^{+}$(Second...

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Which of the following is correct set of 4 quantum numbers of $19^{\text {th }}$ electron in Chromium (Atomic number...

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What is the ratio of wave number of first line (lowest energy line) of Balmer series of H atomic spectrum...

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The surface of sodium metal is irradiated with radiation of wavelength $x \mathrm{~nm}$. The kinetic energy of ejected electrons is...

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What is the energy (in $\mathrm{J}^{-1}$ atom-required for the following process? $$ \mathrm{Li}^{2+}(\mathrm{g}) \rightarrow \mathrm{Li}^{3+}(\mathrm{g})+\mathrm{e}^{-} $$ (Take the ionization energy...

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

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Which of the following point in Figure 2 most accurately represents the nodal surface as shown in Figure 1

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The wave numbers of three spectral lines of H atom are considered. Identify the set of spectral lines belonging to...

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Two positively charged particles and have been accelerated across the same potential difference of 200 keV as shown below.

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The wavelength of spectral line obtained in the spectrum of $\mathrm{Li}^{2+}$ ion, when the transition takes place between two levels...

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The wavelength of photon ' $A$ ' is 400 nm . The frequency of photon ' $B$ ' is $...

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The hydrogen spectrum consists of several spectral lines in Lyman series $\left(\mathrm{L}_1, \mathrm{~L}_2, \mathrm{~L}_3 \ldots ; \mathrm{L}_1\right.$ has lowest energy...

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The work functions of two metals $\left(M_A\right.$ and $\left.M_B\right)$ are in the $1: 2$ ratio. When these metals are exposed...

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Identify the INCORRECT statements from the following: A. Notation ${ }_{12}^{24} \mathrm{Mg}$ represents 24 protons and 12 neutrons. B. Wavelength...

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Given, (A) $\mathrm{n}=5, \mathrm{~m}_{\ell}=-1$ (B) $\mathrm{n}=3,1=2, \mathrm{~m}_{\ell}=-1, \mathrm{~m}_{\mathrm{s}}=+\frac{1}{2}$ The maximum number of electron(s) in an atom that can have the...

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Which of the following statements regarding the energy of the stationary state is true in the following one - electron...

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The energy of first (lowest) Balmer line of H atom is $x \mathrm{~J}$. The energy (in J ) of second...

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Q JEE MAIN 2026

consider the following spectral lines for atomic hydrogen : A. First line of Paschen series B. Second line of Balmer...

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The energy required by electrons, present in the first Bohr orbit of hydrogen atom to be excited to second Bohr...

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Given below are two statements : Statement I: When an electric discharge is passed through gaseous hydrogen, the hydrogen molecules...

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The metal mainly used in devising photoelectric cells is

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The electrons are more likely to be found

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The figure that is not a direct manifestation of the quantum nature of atoms is

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The work function of sodium metal is $4.41 \times 10^{-19} \mathrm{~J}$. If photons of wavelength 300 nm are incident on...

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The number of subshells associated with n = 4 and m = –2 quantum numbers is

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Among the following, the energy of 2s orbital is lowest in:

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Which of the following combination of statements is true regarding the interpretation of the atomic orbitals? (a) An electron in...

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Increasing rate of $\mathrm{S}_{\mathrm{N}} 1$ reaction in the following compounds is:

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The isoelectronic set of ions is :

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The graph between $|\psi|^2$ and r(radial distance) is shown below. This represents i.

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For any given series of spectral lines of atomic hydrogen, let $\Delta \bar{v}=\bar{v}_{\max }-\bar{v}_{\min }$ be the difference in maximum...

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The difference between radii of $3^{\text {rd }}$ and $4^{\text {th }}$ orbits of $\mathrm{Li}^{2+}$ is $\Delta \mathrm{R}_1$. The difference...

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If the de Broglie wavelength of the electron in $\mathrm{n}^{\text {th }}$ Bohr orbit in a hydrogenic atom is equal...

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In the sixth period, the orbitals that are filled are

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Heat treatment of muscular pain involves radiation of wavelength of about 900 nm . Which spectral line of Hatom is...

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The de Broglie wavelength of an electron in the $4^{\text {th }}$ Bohr orbit

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The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about 9. The...

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For the Balmer series in the spectrum of H atom, $\bar{v}=\mathrm{R}_{\mathrm{H}}\left\{\frac{1}{\mathrm{n}_1^2}-\frac{1}{\mathrm{n}_2^2}\right\}$, the correct statements among (I) to (VI) are (I)...

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Which of the graphs shown below does not represent the relationship between incident light and the electron ejected from metal...

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The major product of the following reaction is

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The region in the electromagnetic spectrum where the Balmar series lines appear is

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The major product of the following reaction is

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The shortest wavelength of H atom in the Lyman series is $\lambda_1$. The longest wavelength in the Balmar series of...

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The de Broglie wavelength ( $\lambda$ ) associated with a photoelectron varies with the frequency ( $v$ ) of the...

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Which one of the following about an electron occupying the 1s orbital in a hydrogen atom is incorrect? (The Bohr...

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Q JEE-MAIN 2020

Consider the hypothetical situation where the azimuthal quantum number,l, takes value 0, 1, 2, ... n + 1, where n...

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The radius of the second Bohr orbit, in terms of the Bohr radius, $\mathbf{a}_0$, in $\mathrm{Li}^{2+}$ is

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The number of photons emitted by a monochromatic (single frequency) infrared range finder of power 1 mW and wavelength of...

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The number of orbitals associated with quantum numbers $\mathrm{n}=5, \mathrm{~m}_{\mathrm{s}}=+\frac{1}{2}$ is:

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A metal surface is exposed to 500 nm radiation. The threshold frequency of the metal for photoelectric current is $...

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Number of electrons that Vanadium (Z = 23) has in p-orbitals is equal to ______

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Given below are two statements. Statement I: According to Bohr's model of an atom, qualitatively the magnitude of velocity of...

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Q JEE MAIN 2019

The 71st electron of an element X with an atomic number of 71 enters into the orbital:

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The ground state energy of hydrogen atom is -13.6 eV . The energy of second excited state of $\mathrm{He}^{+}$ion in...

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The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is equal to $...

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What is A in the following reaction?

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A 50 watt bulb emits monochromatic red light of wavelength of 795 nm . The number of photons emitted per...

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If the Thompson model of the atom was correct, then the result of Rutherford's gold foil experiment would have been

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A 50 watt bulb emits monochromatic red light of wavelength of 795 nm. The number of photons emitted per second...

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Q JEE MAIN 2021

$\mathrm{Ge}(\mathrm{Z}=32)$ in its ground state electronic configuration has x completely filled orbitals with $\mathrm{m}_{\mathrm{I}}=0$. The value of $x$ is $\_\_\_\_$...

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Q JEE MAIN 2019

The size of the iso-electronic species $\mathrm{Cl}^{-}, \mathrm{Ar}$ and $\mathrm{Ca}^{2+}$ is affected by

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An accelerated electron has a speed of $5 \times 10^6 \mathrm{~ms}^{-1}$ with an uncertainty of $0.02 \%$. The uncertainty in...

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The Azimuthal quantum number for the valence electrons of Ga+ ion is _______. (Atomic number of Ga = 31)

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The wavelength of electrons accelerated from rest through a potential difference of 40 kV is $x \times 10^{-12} \mathrm{~m}$. The...

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Given below are two statements : Statement I : Rutherford's gold foil experiment cannot explain the line spectrum of hydrogen...

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If $p$ is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having...

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In the ground state of atomic Fe(Z = 26), the spin-only magnetic moment is ______ × $10^{-1}$ BM. (Round off...

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Q JEE MAIN 2021

Electromagnetic radiation of wavelength 663 nm is just sufficient to ionise the atom of metal A . The ionization energy...

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Given below are two statements : Statement I : Bohr's theory accounts for the stability and line spectrum of Li+...

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Among the following, number of metal/s which can be used as electrodes in the photoelectric cell is _______ (Integer answer)

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Q JEE Main 2019

For emission line of atomic hydrogen from $n_i=8 \mid$ to $n_f=n$, the plot of wave number $(\vec{v})$ against $\left(\frac{1}{n^2}\right)$ will...

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A certain orbital has $\mathrm{n}=4$ and $\mathrm{m}_{\varepsilon}=-3$. The number of radial nodes in this orbital is $\_\_\_\_$ . (Round off...

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What is the spin-only magnetic moment value (BM) of a divalent metal ion with atomic number 25, in it's aqueous...

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Q JEE MAIN 2021

The number of orbitals with $\mathrm{n}=5, \mathrm{~m}_1=+2$ is $\_\_\_\_$ . (Round off to the Nearest Integer).

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The above reaction requires which of the following reaction conditions?

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A certain orbital has no angular nodes and two radial nodes. The orbital is :

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According to Bohr's atomic theory :- (1) Kinetic energy of electron is $\propto \frac{\mathrm{Z}^2}{\mathrm{n}^2}$. (2) The product of velocity (v)...

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Q JEE MAIN 2021

When light of wavelength 248 nm falls on a metal of threshold energy 3.0 eV, the de-Broglie wavelength of emitted...

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A proton and a $\mathrm{Li}^{3+}$ nucleus are accelerated by the same potential. If $\lambda_{\mathrm{Li}}$ and $\lambda_P$ denote the de Broglie...

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Q JEE MAIN 2021

Which of the following forms of hydrogen emits low energy $\beta^{-}$particles?

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The orbital having two radial as well as two angular nodes is -

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What is the major product formed by HI on reaction with

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The product formed in the first step of the reaction of with excess $\mathrm{Mg} / \mathrm{Et}_2 \mathrm{O}\left(\mathrm{Et}=\mathrm{C}_2 \mathrm{H}_5\right)$ is :

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Q JEE MAIN 2021

In which of the following pairs, the outer most electronic configuration will be the same?

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The plots of radial distribution functions for various orbitals of hydrogen atom against 'r' are given below:

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Consider an imaginary ion ${ }_{22}^{48} \mathrm{X}^{3-}$. The nucleus contains ' a ' $\%$ more neutrons than the number of...

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When the excited electron of a H atom from n = 5 drops to the ground state, the maximum number...

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Given below are two statements. One is labeled as Assertion A and the other is labeled as Reason R. Assertion...

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The minimum uncertainty in the speed of an electron in an one dimensional region of length $2 a_0$ (Where $\mathbf{a}_0=$...

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If the wavelength for an electron emitted from H -atom is $3.3 \times 10^{-10} \mathrm{~m}$, then energy absorbed by the...

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The wavelength of an electron and a neutron will become equal when the velocity of the electron is x times...

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The correct decreasing order of energy, for the orbitals having, following set of quantum numbers: (A) $\mathrm{n}=3, \ell=0, \mathrm{~m}=0$ (B)...

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Q JEE MAIN 2022

Identify the incorrect statement from the following.

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Given two statements below : Statement I : In Cl2 molecule the covalent radius is double of the atomic radius...

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Which of the following sets of quantum numbers is not allowed ?

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Consider the following statements : (A) The principal quantum number ‘n’ is a positive integer with values of ‘n’ =...

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Which of the following is the correct plot for the probability density $\psi^2(r)$ as a function of distance ' $r$...

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The number of radial and angular nodes in 4d orbital are. Respectively

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The minimum energy that must be possessed by photons in order to produce the photoelectric effect with platinum metal is:...

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The energy of one mole of photons of radiation of wavelength 300 nm is (Given : $...

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If the work function of a metal is $6.63 \times 10^{-19} \mathrm{~J}$, the maximum wavelength of the photon required to...

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Which of the following statements are correct ? (A) The electronic configuration of Cr is $[\mathrm{Ar}] 3 \mathrm{~d}^5 4 \mathrm{~s}^1$....

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The longest wavelength of light that can be used for the ionisation of lithium atom (Li) in its ground state...

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

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The number of radial node/s for 3p orbital is:

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It the radius of the 3rd Bohr’s orbit of hydrogen atom is r3 and the radius of 4th Bohr’s orbit...

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The pair, in which ions are isoelectronic with $\mathrm{Al}^{3+}$ is :-

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Consider the following pairs of electrons (A) (a) $\mathrm{n}=3, \ell=1, \mathrm{~m}_1=1, \mathrm{~m}_{\mathrm{s}}=+\frac{1}{2}$ (b) $\mathrm{n}=3, \ell=2, \mathrm{~m}_1=1, \mathrm{~m}_{\mathrm{s}}=+\frac{1}{2}$ (B) (a) $...

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Q JEE MAIN 2024

Number of spectral lines obtained in $\mathrm{He}^{+}$spectra, when an electron makes transition from fifth excited state to first excited state...

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Q JEE MAIN 2024

Match List I with List II Choose the correct answer from the options given below :-

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The energy of an electron in first Bohr orbit of H -atom is -13.6 eV. The magnitude of energy value...

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

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The extra stability of half-filled subshell is due to : (A) Symmetrical distribution of electrons (B) Smaller coulombic repulsion energy...

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Q JEE MAIN 2023

The orbital angular momentum of an electron in 3 s orbital is $\frac{x h}{2 \pi}$. The value of $x$ is:

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The number of correct statements from the following _____ A. For 1s orbital, the probability density is maximum at the...

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The number of atomic orbitals from the following having 5 radial nodes is ______.7s, 7p, 6s, 8p, 8d

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Q JEE MAIN 2025

For electrons in '2s' and '2p' orbitals, the orbital angular momentum values, respectively are :

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The electron in the $\mathrm{n}^{\text {th }}$ orbit of $\mathrm{Li}^{2+}$ is excited to ( $\mathrm{n}+1$ ) orbit using the radiation...

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Q JEE MAIN 2023

For a metal ion, the calculated magnetic moment is 4.90 BM. This metal ion has ______ number of unpaired electrons.

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Value of work function $\left(\mathrm{W}_0\right)$ for a few metals are given below: The number of metals which will show photoelectric...

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If the radius of the first orbit of hydrogen atom $\mathbf{a}_0$, then de-Broglie's wavelength of electron in $3^{\text {rd }}$...

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Q JEE MAIN 2023

Assume that the radius of the first Bohr orbit of hydrogen atom is $0.6 \AA$. The radius of the third...

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Number of compounds giving (i) red colouration with ceric ammonium nitrate and also (ii) positive iodoform test from the following...

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The number of given orbitals which have electron density along the axis is _______ px, py, pz, dxy, dyz dxz,

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Arrange the following orbitals in decreasing order of energy ? (A) n = 3, l = 0, m = 0...

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Q JEE MAIN 2023

Following figure shows spectrum of an ideal black body at four different temperatures. The number of correct statement/s from the...

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The wave function $(\Psi)$ of 2 s is given by $$ \Psi_{2 s}=\frac{1}{2 \sqrt{2 \pi}}\left(\frac{1}{a_0}\right)^{1 / 2}\left(2-\frac{r}{a_0}\right) e^{-r / 2...

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Q JEE MAIN 2023

Maximum number of electrons that can be accommodated in shell with n = 4 are:

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The total number of isoelectronic species from the given set is ____. $...

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The energy of an electron in the first Bohr orbit of hydrogen atom is –2.18×10–18 J. Its energy in the...

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The number of incorrect statement/s about the black body from the following is _______ (A) Emit or absorb energy in...

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Given below are two statements Statement-I: According to Bohr's model of hydrogen atom, the angular momentum of an electron in...

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The number of following statement/s which is/are incorrect is______.

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R: Assertion...

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The wavelength of an electron of kinetic energy $4.50 \times 10^{-29} \mathrm{~J}$ is $\_\_\_\_$ $\times 10^{-5} \mathrm{~m}$. (Nearest integer) Given:...

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If wavelength of the first line of the Paschen series of hydrogen atom is 720 nm, then the wavelength of...

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The energy of one mole of photons of radiation of frequency $2 \times 10^{12} \mathrm{~Hz} \mathrm{in} \mathrm{J} \mathrm{mol}^{-1}$ is $\_\_\_\_$...

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Q JEE MAIN 2023

Electrons in a cathode ray tube have been emitted with a velocity of $1000 \mathrm{~ms}^{-1}$. The number of following statements...

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It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power ' $n$ ' i.e....

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Q JEE MAIN 2023

The total number of lone pairs of electrons on oxygen atoms of ozone is_____

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Which transition in the hydrogen spectrum would have the same wavelength as the Balmer type transition from n = 4...

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Q JEE MAIN 2023

Identify the correct order for the given property for following compounds

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If wavelength of the first line of the Paschen series of hydrogen atom is 720 nm, then the wavelength of...

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Q JEE MAIN 2023

The shortest wavelength of hydrogen atom in Lyman series is . The longest wavelength in Balmer series of He+ is

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Q JEE MAIN 2023

The radius of the $2^{\text {nd }}$ orbit of $\mathrm{Li}^{2+}$ is x . The expected radius of the $...

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Q JEE MAIN 2023

It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power 'n' i.e. $v^n$ of...

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Q JEE MAIN 2024

Compare the energies of following sets of quantum numbers for multielectron system. (A) n=4,1=1 (B) n=4,1=2 (C) n=3,1=1 (D) n=3,1=2...

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The de-Broglie's wavelength of an electron in the $4^{\text {th }}$ orbit is $\_\_\_\_$ $\pi \mathrm{a}_0 \cdot\left(\mathrm{a}_0=\right.$ Bohr's radius $)$

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Q JEE MAIN 2024

Frequency of the de-Broglie wave of election in Bohr's first orbit of hydrogen atom is $\times 10^{13} \mathrm{~Hz}$ (nearest integer)....

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A hypothetical electromagnetic wave is show below. The frequency of the wave is $x \times 10^{19}$ Hz. x= ___________ (nearest...

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The value of Rydberg constant (R_H ) is 2.18×〖10〗^(-18) " " J. The velocity of electron having mass 9.1×〖10〗^(-31) "...

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The incorrect postulates of the Dalton's atomic theory are : (A) Atoms of different elements differ in mass. (B) Matter...

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Q JEE MAIN 2024

The ionization energy of sodium in $\mathrm{kJmol}^{-1}$. If electromagnetic radiation of wavelength 242 nm is just sufficient to ionize sodium...

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Q JEE MAIN 2024

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

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Q JEE MAIN 2024

Given below are two statements: Statement-I : The orbitals having same energy are called as degenerate orbitals. Statement-II : In...

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Q JEE MAIN 2025

Which of the following statements are true? (A) The subsidiary quantum number $l$ describes the shape of the orbital occupied...

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Q JEE MAIN 2024

The number of electrons present in all the completely filled subshells having $\mathrm{n}=4$ and $\mathrm{s}=+\frac{1}{2}$ is (Where $\mathrm{n}=$ principal quantum...

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Q JEE MAIN 2025

For hydrogen like species, which of the following graphs provides the most appropriate representation of E vs Z plot for...

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Q JEE MAIN 2025

Given below are two statements :[0pt] Statement (I): It is impossible to specify simultaneously with arbitrary precision, both the linear...

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Q JEE MAIN 2025

Which of the following statements are correct, if the threshold frequency of caesium is $5.16 \times {10^{14}}\;{\rm{Hz}}$ ? A. When...

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Q JEE MAIN 2025

Which one of the following about an electron occupying the 1 s orbital in a hydrogen atom is incorrect? (Bohr's...

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Q JEE MAIN 2025

Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom?[0pt] (A) $1 \mathrm{~s}

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Q JEE MAIN 2025

Which of the following postulate of Bohr's model of hydrogen atom is not in agreement with quantum mechanical model of...

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Q JEE MAIN 2025

For hydrogen atom, the orbital/s with lowest energy is/are :[0pt] (A) 4 s (B) $3 p_{x}$ (C) $3 d_{x^{2}-y^{2}}$ (D)...

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Q JEE MAIN 2025

According to Bohr's model of hydrogen atom, which of the following statement is incorrect?

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Q JEE MAIN 2025

Given below are two statements : Statement (I): For a given shell, the total number of allowed orbitals is given...

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Q JEE MAIN 2025

If ${a_0}$ is denoted as the Bohr radius of hydrogen atom, then what is the de-Broglie wavelength $(\lambda )$ of...

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Q JEE MAIN 2025

Choose the correct statements. (A) Weight of a substance is the amount of matter present in it. (B) Mass is...

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Q JEE MAIN 2025

In a multielectron atom, which of the following orbitals described by three quantum numbers will have same energy in absence...

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Q JEE MAIN 2025

Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H atom is...

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Q JEE MAIN 2025

Given below are two statements : Statement (I): A spectral line will be observed for a $...

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Q JEE MAIN 2025

Lanthanoid ions with $4{f^7}$ configuration are : (A) $\mathrm{Eu}^{2+}$ (B) $\mathrm{Gd}^{3+}$ (C) $\mathrm{Eu}^{3+}$ (D) $\mathrm{Tb}^{3+}$ (E) $\mathrm{Sm}^{2+}$ Choose the correct...

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Q JEE MAIN 2025

Radius of the first excited state of Helium ion is given as: ${{\rm{a}}_0} \to$ radius of first stationary state of...

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