Atomic Structure

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

$\mathbf X^{a+}$ and $\mathbf Y^{b+}$ 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 $\mathbf X^{a+}$ is $\lambda$. The wavelength of light absorbed during the transition between the states with principal quantum numbers $n=2$ and $n=4$ of $\mathbf Y^{b+}$ is $9\lambda$. The lowest possible value of $(\boldsymbol a+\boldsymbol b)$ is ____.

What is the energy (in J atom$^{-1}$) required for the following process ?
$$\ce{Li^{2+}(g) -> Li^{3+}(g) + e-}$$
(Take the ionization energy for the H atom in the ground state as $2.18\times10^{-18}$ J atom$^{-1}$)

The surface of sodium metal is irradiated with radiation of wavelength $x$ nm. The kinetic energy of ejected electrons is $2.8\times10^{-20}$ J. The work function of sodium is 2.3 eV. The value of $x$ is ________ $\times10^2$ nm. (Nearest integer)
(Given : $h=6.6\times10^{-34}$ J s ; 1 eV $=1.6\times10^{-19}$ J; $c=3.0\times10^8$ m s$^{-1}$)

What is the ratio of wave number of first line (lowest energy line) of Balmer series of H atomic spectrum to first line of its Brackett series?

Which of the following is correct set of 4 quantum numbers of 19th electron in Chromium (Atomic number = 24) in accordance with Aufbau principle?

A monoatomic anion ($\ce{A-}$) has 45 neutrons and 36 electrons. Atomic mass, group in the periodic table and physical state at room temperature of the element (A) respectively are

The species having identical radii according to the Bohr's theory are:

A. H (first orbit)

B. $\ce{He+}$ (first orbit)

C. $\ce{He+}$ (Second orbit)

D. $\ce{Li^{2+}}$ (first orbit)

E. $\ce{Be^{3+}}$ (Second orbit)

Choose the correct answer from the options given below:

Pairs of elements with the same number of electrons in their respective 4f orbital are

[Atomic number. Eu-63, Gd-64, Dy-66, Ho-67, Tm-69, Yb-70, Lu-71, Hf-72]

A. (Eu and Gd)

B. (Dy and Ho)

C. (Yb and Hf)

D. (Lu and Tm)

Choose the correct answer from the options given below:

Arrange the following atomic orbitals of multi electron atoms in order of increasing energy.

A. $n=3$, $l=2$, $m=+1$

B. $n=4$, $l=0$, $m=0$

C. $n=6$, $l=1$, $m=0$

D. $n=5$, $l=1$, $m=+1$

E. $n=2$, $l=1$, $m=+1$

Choose the correct answer from the options given below:

Identify the correct statements from the following :

A. Heisenberg uncertainty principle is applicable to electrons.

B. The size of $2p_x$ orbital is less than the size of $3p_x$ orbital.

C. The energy of 2s orbital of H atom is equal to the energy of 2s orbital of Li.

D. The electronic configuration of Cr is $[\mathrm{Ar}]\,3d^54s^1$

Choose the correct answer from the options given below:

Which of the following statement(s) is/are true ?

A. If two orbitals have the same value of $(n+l)$, the orbital with lower value of n will have lower energy.

B. Energies of the orbitals in the same subshell increase with increase in atomic number.

C. The size of $2p_x$ orbital is less than the size of $3p_x$ orbital.

D. Among 5f, 6s, 4d, 5p and 5d orbitals, none of the orbitals have 2 radial nodes.

Choose the correct answer from the options given below :

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

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

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

(Given : Hydrogen atom Bohr radius is 52.9 pm)

Consider two radiations of wavelengths

1. $\lambda_1=2000$ Å

2. $\lambda_2=6000$ Å

The ratio of the energies of these two radiations $\left(\dfrac{E_1}{E_2}\right)$ is ________ (Nearest integer).

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

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

For $\ce{He+}$, a transition takes place from the orbit of radius 105.8 pm to the orbit of radius 26.45 pm. The wavelength (in nm) of the emitted photon during the transition is _____.

[Use: Bohr radius, $a = 52.9$ pm; Rydberg constant, $R_\mathrm{H} = 2.2\times10^{-18}$ J; Planck's constant, $h = 6.6\times10^{-34}$ J s; Speed of light, $c = 3\times10^8\ \mathrm{m\,s^{-1}}$]

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