JEE Main PYQs — Structure of Atom

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

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

Which of the following statements are true? (A) The subsidiary quantum number l describes the shape of the orbital occupied by the electron. (B) The boundary surface diagram with two lobes along the…

If a0 is denoted as the Bohr radius of hydrogen atom, then what is the de-Broglie wavelength () of the electron present in the second orbit of hydrogen atom? [n: any integer]

For hydrogen like species, which of the following graphs provides the most appropriate representation of E vs Z plot for a constant n? [E: energy of the stationary state, Z: atomic number, n =…

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…

In a multielectron atom, which of the following orbitals described by three quantum numbers have same energy in absence of electric and magnetic fields? (A) n=1, l=0, ml=0 (B) n=2, l=0, ml=0 (C) n=2,…

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…

Correct statements for an element with atomic number 9 are: A. There can be 5 electrons for which ms = +12 and 4 electrons for which ms = -12 B. There is only one electron in pz orbital C. The last…

Choose the incorrect statement about Dalton's Atomic Theory.

The incorrect postulates of Dalton's atomic theory are: (A) Atoms of different elements differ in mass. (B) Matter consists of divisible atoms. (C) Compounds form when atoms combine in a fixed ratio.…

The four quantum numbers for the electron in the outermost orbital of potassium (atomic number 19) are:

The electronic configuration for Neodymium is: [Atomic Number for Neodymium = 60]

Compare the energies of following sets of quantum numbers for a multielectron system: (A) n=4, l=1 (4p) (B) n=4, l=2 (4d) (C) n=3, l=1 (3p) (D) n=3, l=2 (3d) (E) n=4, l=0 (4s) Choose the correct…

The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 'A' 1012 hertz and that has a radiant intensity in that direction of 1B watt…

According to the wave-particle duality of matter by de-Broglie, which of the following graph plots presents the most appropriate relationship between wavelength of electron () and momentum of…

Which of the following electronic configuration would be associated with the highest magnetic moment?

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

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

The electronic configuration of Einsteinium is: (Given atomic number of Einsteinium = 99)

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

Which one of the following sets of ions represents a collection of isoelectronic species? (Atomic numbers: F = 9, Cl = 17, Na = 11, Mg = 12, Al = 13, K = 19, Ca = 20, Sc = 21)

The energy of an electron in the first Bohr orbit of hydrogen atom is -2.18 10-18 J. Its energy in the third Bohr orbit is ______.

The radius of the 2nd orbit of Li2+ is x. The expected radius of the 3rd orbit of Be3+ is:

If the radius of the first orbit of hydrogen atom is a0, then de Broglie's wavelength of electron in the 3rd orbit is:

Which transition in the hydrogen spectrum would have the same wavelength as the Balmer type transition from n = 4 to n = 2 of He+ spectrum?

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

The wave function () of 2s is given by: _{2s} = {1}{2{2}}({1}{a_0})^{1/2}(2 - {r}{a_0})e^{-r/2a_0} At r = r0, radial node is formed. Thus r0 in terms of a0 is:

Arrange the following orbitals in decreasing order of energy: A. n=3, l=0, m=0 B. n=4, l=0, m=0 C. n=3, l=1, m=0 D. n=3, l=2, m=1

Statement I: According to Bohr's model of hydrogen atom, the angular momentum of an electron in a given stationary state is quantised. Statement II: The concept of electron in Bohr's orbit violates…

Which of the following pair is not isoelectronic? (Atomic numbers: Sm = 62, Er = 68, Yb = 70, Lu = 71, Eu = 63, Tb = 65, Tm = 69)

The pair in which ions are isoelectronic with Al3+ is:

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

Given below are the quantum numbers for 4 electrons: A. n=3, l=2, ml=1, ms=+12 B. n=4, l=1, ml=0, ms=+12 C. n=4, l=2, ml=-2, ms=-12 D. n=3, l=1, ml=-1, ms=+12 The correct order of increasing energy…

The electronic configuration of Pt (atomic number 78) is:

If the radius of the 3rd Bohr's orbit of hydrogen atom is r3 and the radius of 4th Bohr's orbit is r4, then:

Identify the incorrect statement from the following:

The minimum energy that must be possessed by photons to produce the photoelectric effect with platinum metal is: [threshold frequency = 1.31015 s-1, h=6.610-34 Js]

The energy of one mole of photons of radiation of wavelength 300 nm is: [h=6.6310-34 Js, NA=6.021023 mol-1, c=3108 ms-1]

Consider the following pairs of electrons: (A) (a) n=3, l=1, ml=1, ms=+12; (b) n=3, l=2, ml=1, ms=+12 (B) (a) n=3, l=2, ml=-2, ms=-12; (b) n=3, l=2, ml=-1, ms=-12 (C) (a) n=4, l=2, ml=2, ms=+12; (b)…

Which of the following is the correct plot for the probability density 2(r) as a function of distance 'r' of the electron from the nucleus for 2s orbital?

Consider the following statements: (A) The principal quantum number 'n' is a positive integer with values n = 1, 2, 3, ... (B) The azimuthal quantum number 'l' for a given 'n' (principal quantum…

Which of the following statements are correct? (A) The electronic configuration of Cr is [Ar]\,3d5\,4s1. (B) The magnetic quantum number may have a negative value. (C) In the ground state of an atom,…

The correct decreasing order of energy for orbitals having, following set of quantum numbers: (A) n=3,l=0 (B) n=4,l=0 (C) n=3,l=1 (D) n=3,l=2

The number of radial and angular nodes in 4d orbital are, respectively:

Assertion A: Energy of 2s orbital of hydrogen atom is greater than that of 2s orbital of lithium. Reason R: Energies of the orbitals in the same subshell decrease with increase in the atomic number.…

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

According to Bohr's atomic theory: (A) Kinetic energy of electron Z2n2 (B) The product of velocity (v) of electron and principal quantum number (n), |vn| Z2 (C) Frequency of revolution of electron in…

Statement I: According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in positive charges on the nucleus as there is no strong hold on the…

The plots of radial distribution functions for various orbitals of hydrogen atom against 'r' are given below. The correct plot for 3s orbital is:

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

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

The spin only magnetic moments (in BM) for free Ti3+, V2+ and Sc3+ ions respectively are ______. (At. No. Sc: 21, Ti: 22, V: 23)

Outermost electronic config of group 13 element E is 4s2,4p1. The electronic config of a p-block period-5 element placed diagonally to E is:

Statement I: Bohr's theory accounts for stability and line spectrum of Li+ ion. Statement II: Bohr's theory was unable to explain the splitting of spectral lines in the presence of a magnetic field.…

The number of orbitals associated with quantum numbers n = 5, ms = +12 is:

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

The difference between the radii of 3rd and 4th orbits of Li2+ is R1. The difference between the radii of 3rd and 4th orbits of He+ is R2. Ratio R1 : R2 is:

The radius of the second Bohr orbit, in terms of the Bohr radius a0, in Li2+ is:

The shortest wavelength of H atom in the Lyman series is 1. The longest wavelength in the Balmer series of He+ is:

For the Balmer series, in the spectrum of H atom, v = RH\1n12 - 1n22\, the correct statements among (I) to (IV) are: (I) As wavelength decreases, the lines in the series converge. (II) The integer n1…

The region in the electromagnetic spectrum where the Balmer series lines appear is:

The de Broglie wavelength of an electron in the 4th Bohr orbit is:

Consider the hypothetical situation where the azimuthal quantum number, l, takes values 0, 1, 2, ....... n+1. Where n is the principal quantum number. Then, the element with atomic number:

In the sixth period, the orbitals that are filled are:

The correct statement about probability density (except at infinite distance from nucleus) is:

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

The isoelectronic set of ions is:

The electrons are more likely to be found:

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

For emission line of atomic hydrogen from ni = 8 to nf = n, the plot of wave number () against (1n2) will be: (The Rydberg constant RH is in wave number unit)

The ground state energy of a hydrogen atom is -13.6 eV. The energy of second excited state of He+ ion in eV is:

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

Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H atom is suitable for this purpose? [RH = 1 105 cm-1, h = 6.6 10-34 Js, c = 3 108 ms-1]

For any given series of spectral lines of atomic hydrogen, let v = vmax - vmin be the difference in maximum and minimum wave number in cm-1. The ratio vLyman / vBalmer is:

The de Broglie wavelength () associated with a photoelectron varies with the frequency () of the incident radiation as [0 is threshold frequency]:

What is the work function of the metal if the light of wavelength 4000 Å generates photoelectrons of velocity 6105 ms-1 from it? (Mass of electron =910-31 kg, c=3108 ms-1, h=6.62610-34 Js, charge of…

If p is the momentum of the fastest electron ejected from a metal surface after irradiation of light having wavelength , then for 1.5p momentum of the photoelectron, the wavelength of the light…

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

If the de Broglie wavelength of the electron in nth Bohr orbit in a hydrogenic atom is equal to 1.5 a0 (a0 is Bohr radius), then the value of n/z is:

The graph between ||2 and r (radial distance) is shown below. This represents:

Which one of the following about an electron occupying the 1s orbital in a hydrogen atom is incorrect? (The Bohr radius is represented by a0)

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

Which combination of statements is true regarding atomic orbitals? (A) An electron in an orbital of high angular momentum stays away from the nucleus than an electron in the orbital of lower angular…

Quantum numbers of four electrons are given below: I. n=4,l=2, ml=-2, ms=-12 II. n=3,l=2, ml=1, ms=+12 III. n=4,l=1, ml=0, ms=+12 IV. n=3,l=1, ml=1 ms=-12 Correct order of increasing energies: