Structure of Atom

$\mathbf{X}^{\boldsymbol{a}+}$ and $\mathbf{Y}^{\boldsymbol{b}+}$ are hydrogen-like species. The wavelength of light absorbed during the transition between the states with principal quantum numbers $n=1$ and $n=2$ of $\mathbf{X}^{\boldsymbo...

The 2s and the 2p orbital energies of hydrogen atom are $E_{2s}({H})$ and $E_{2p}({H})$, respectively. The 2s and the 2p orbital energies of lithium atom are $E_{2s}({Li})$ and $E_{2p}({Li})$, respectively. The correct option(s) about the o...

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

Among the following, the correct statement(s) for electrons in an atom is(are)

For $\mathrm{He}^{+}$, a transition takes place from the orbit of radius $105.8 \mathrm{pm}$ to the orbit of radius $26.45 \mathrm{pm}$. The wavelength (in nm) of the emitted photon during the transition is _______.
[Use :
Bohr radius, $\ma...

For diatomic molecules, the correct statement(s) about the molecular orbitals formed by the overlap of two $2 p_{z}$ orbitals is(are)

Consider a helium (He) atom that absorbs a photon of wavelength 330 nm. The change in the velocity (in cm s\(-\)1) of He atom after the photon absorption is __________.(Assume : Momentum is conserved when photon is absorbed.Use : Planck con...

The figure below is the plot of potential energy versus internuclear distance (d) of H2 molecule in the electronic ground state. What is the value of the net potential energy E0 (as indicated in the figure) in kJ mol-1, for d = d0 at which ...

Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following List-I contains some quantities for the nth orbit of the atom and List-II contains options showing how they depend on n.Which of ...

The ground state energy of hydrogen atom is \(-\)13.6 eV. Consider an electronic state \(\psi\) of He+ whose energy, azimuthal quantum number and magnetic quantum number are \(-\)3.4 eV, 2 and 0, respectively.Which of the following stateme...

Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following List-I contains some quantities for the nth orbit of the atom and List-II contains options showing how they depend on n.Which of ...

For hydrogen atom, the only CORRECT combination is :

For \(H{e^ + }\) ion, the only INCORRECT combination is

For the given orbital in Column 1, the only CORRECT combination for any hydrogen-like species is :

P is the probability of finding the 1s electron of hydrogen atom in a spherical shell of infinitesimal thickness, dr, at a distance r from the nucleus. The volume of this shell is \(4\pi r^2dr\). The quantitative ketch of the dependence of ...

Not considering the electronic spin, the degeneracy of the second excited state( n = 3) of H atom is 9, while
the degeneracy of the second excited state of H– is ___________.

In an atom, the total number of electrons having quantum numbers n = 4, |ml| = 1 and ms = –1/2 is

The atomic masses of He and Ne are 4 and 20 a.m.u., respectively. The value of the de Broglie wavelength
of He gas at –73oC is “M” times that of the de Broglie wavelength of Ne at 727oC. M is

The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is [\(\alpha_0\) is Bohr radius]

The work function
( φ )
of some metals is listed below. The number of metals which will show
photoelectric effect when light of 300 nm wavelength falls on the metal is


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The maximum number of electrons that can have principal quantum number, n = 3, and spin quantum number, ms = − 1/2 , is

The hydrogen like species Li2+ is in a spherically symmetric state S1 with one radial node. Upon absorbing light the ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy...

The hydrogen like species Li2+ is in a spherically symmetric state S1 with one radial node. Upon absorbing light the ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy...

The hydrogen like species Li2+ is in a spherically symmetric state S1 with one radial node. Upon absorbing light the ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy...

Match the entries in Column I with the correctly related quantum number(s) in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 \(\times\) 4 matrix given in the ORS.

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STATEMENT - 1 : The plot of atomic number (y-axis) versus number of neutrons (x-axis) for stable nuclei shows a curvature towards x-axis from the line of 45o slope as the atomic number is increased.
STATEMENT - 2 : Proton-proton electrostat...

A positron is emitted from \(_{11}^{23}\)Na The ratio of the atomic mass and atomic number of the resulting nuclide is :

According to Bohr's theory
En = Total energy, Kn = Kinetic Energy, Vn = Potential Energy, rn = Radius of nth orbit
Match the following

Column I

Column II



(A)
\(\frac{V_n}{K_n} = ?\)
(P)
0


...

The number of radial nodes of 3s and 2p orbitals are respectively

(A) Calculate velocity of electron in the first orbit of hydrogen atom (Given : \(r=a_0=0.529\) \(\mathop A\limits^o\)).
(B) Calculate the de Broglie's wavelength of the electron in first Bohr orbit.
(C) Calculate the orbital angular momen...

Find the velocity (ms-1) of electron in first Bohr's orbit of radius a0. Also find the de Broglie's wavelength (in m). Find the orbital angular momentum of 2p orbital of hydrogen atom in units of \(h/2 \pi\).

The radius of which of the following orbit is same as that of the first Bohr's orbit of hydrogen atom?

A ball of mass 100 g is moving with 100 ms-1. Find it's wavelength.

(a) The Schrodinger wave equation for hydrogen atom is
\($\psi = {1 \over {4\sqrt {2\pi } }}{\left( {{1 \over {{a_0}}}} \right)^{3/2}}\left( {2 - {{{r_0}} \over {{a_0}}}} \right){e^{ - {r_0}/{a_0}}}\)$
Where a0 is Bohr's radius. If the rad...

Which of the following pairs are isoelectronic and isostructural?
\(NO_3^-\), \(CO_3^{2-}\), \(ClO_3^-\), SO3

Wavelength of high energy transition of H-atoms is 91.2 nm. Calculate the corresponding wavelength of He atoms.

Rutherford's experiment, which established the nuclear model of the atom, used a beam of

If the nitrogen atom has electronic configuration 1s7, it would have energy lower than that of the normal ground state configuration 1s22s22p3, because the electrons would be closer to the nucleus. Yet 1s7 is not observed because it violate...

The wavelength associated with a golf ball weighing 200 g and moving at speed of 5 m/h is of the order

The quantum numbers +1/2 and -1/2 for the electron spin represent

The number of nodal planes in a px orbital is

The electronic configuration of an element is 1s2, 2s2 2p6, 3s2 3p6 3d5, 4s1 This represents its

Calculate the energy required to excite one litre of hydrogen gas at 1 atm and 298 K to the first excited state of atomic hydrogen. The energy for the dissociation of H-H bond 436 kJ mol-1.

Ground state electronic configuration of nitrogen atom can be represented by

The electrons, identified by quantum numbers n and l, (i) n = 4, l = 1, (ii) n = 4, l = 0, (iii) n = 3, l = 2 and (iv) n = 3, l = 1 can be placed in order of increasing energy, from the lowest to highest, as

The energy of an electron in the first Bohr orbit of H atom is -13.6 eV. The possible energy value(s) of the excited state(s) for electrons in Bohr orbits of hydrogen is (are)

ASSERTION:
Nuclide \({}_{13}^{30}Al\) is less stable than \({}_{20}^{40}Ca\)
REASON:
Nuclides having odd number of protons and neutrons are generally unstable.

Which of the following statement(s) is (are) correct?

Decrease in atomic number is observed during

The orbital diagram in which the Aufbau principle is violated is