Atoms Quiz-1

A diatomic molecules has a moment of inertia I. By Bohr’s quantisation condition, its rotational energy in the $n^{th}$ level $(n\ne0)$ is

A star can convert all its helium (He) nuclei completely into oxygen nuclei. The energy released, per oxygen nuclei formation, is (Mass of nucleus He = 4.0026 u; mass of oxygen nucleus = 15.9994 u)

An alpha nucleus of energy $(\frac12mv^2)$ bombards a heavy nuclear target of charge Ze. Then the distance of closeset approach for the alpha to the nucleus is proportional to

The binding energy of a hydrogen like atom in ground state is 217.6 eV. The atomic number of the atom is

In an atom two electrons move around the nucleus in circular orbits of radii r and 4r. The ratio of the time taken by then to complete one revolution around the nucleus is

According to Bohr’s theory, the minimum energy required to remove an electron from the ground state of doubly ionized $L_i$ atom (Z = 3) is

The first excitation potential of hydrogen is

The transition from the state n = 4 to n = 3 in a hydrogen atom results in ultraviolet radiation. Infrared radiation will be obtained in transition.

An excited hydrogen atom emits a photon of wavelength $\lambda$ when it jumps to ground state from the excited state say of quantum number n. If R is the Rydberg constant the value of n is given by

Hydrogen atom is excited from ground state to a state corresponding to principal quantum number 4. The number of spectral lines obtained in the emission spectra is given by