Atomic Structure

The electron in the hydrogen atom undergoes transition from higher orbitals to orbital of radius 211.6 pm. This transition is associated with :

$P$ 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 qualitative sketch of the dependence of $P$ on $r$ is

A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If e and m are charge and mass of an electron, respectively, then the value of h/λ (where λ is wavelength associated with electron wave) is given by :

The total number of orbitals associated with the principal quantum number 5 is :

Aqueous solution of which salt will not contain ions with the electronic configuration $1s^22s^22p^63s^23p^6$ ?

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 $\ce{H-}$ is

Which of the following is the energy of a possible excited state of hydrogen ?

If the principal quantum number n = 6, the correct sequence of filling of electrons will be :

The heat of atomization of methane and ethane are 360 kJ/mol and 620 kJ/mol, respectively. The longest wavelength of light capable of breaking the C - C bond is (Avogadro number = $6.02\times10^{23}$, $h=6.62\times10^{-34}$ J s) :

At temperature T, the average kinetic energy of any particle is $\dfrac32kT$. The de Broglie wavelength follows the order :

In an atom, the total number of electrons having quantum numbers $n=4$, $|m_l|=1$ and $m_s=-\frac12$ is

Match the orbital overlap figures shown in List-I with the description given in List-II and select the correct answer using the code given below the lists.

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

The energy of an electron in first Bohr orbit of H - atom is $-13.6$ eV. The energy value of electron in the excited state of $\ce{Li^2+}$ is :

If $\lambda_o$ and $\lambda$ be the threshold wavelength and wavelength of incident light, the velocity of photoelectron ejected from the metal surface is :

Based on the equation :
$$\Delta E=-2.0\times10^{-18}\text{ J}\left(\frac1{n_2^2}-\frac1{n_1^2}\right)$$
the wavelength of the light that must be absorbed to excite hydrogen electron from level $n=1$ to level $n=2$ will be : ($h=6.625\times10^{-34}$ Js, $C=3\times10^8$ ms$^{-1}$)

If m and e are the mass and charge of the revolving electron in the orbit of radius r for hydrogen atom, the total energy of the revolving electron will be :

The de-Broglie wavelength of a particle of mass 6.63 g moving with a velocity of 100 ms$^{-1}$ is :

Excited hydrogen atom emits light in the ultraviolet region at $2.47\times10^{15}$ Hz. With this frequency, the energy of a single photon is :

($h=6.63\times10^{-34}$ Js)

Ionization energy of gaseous Na atoms is 495.5 kJmol$^{-1}$. The lowest possible frequency of light that ionizes a sodium atom is ($h=6.626\times10^{-34}$ Js, $N_A=6.022\times10^{23}$ mol$^{-1}$)