The following diagram indicates the energy levels of a certain atom when the system moves from $2E$ level to $E$, emitting a photon of wavelength $\lambda $. The wavelength of photon produced during its transition from $\frac{4E}{3}$ level to $E$ is
$\lambda /3$
$3\lambda /4$
$4\lambda /3$
$3\lambda $
The graph which depicts the results of Rutherform gold foil experiment with $\alpha$ -particales is
$\theta:$ Scattering angle
$\mathrm{Y}:$ Number of scattered $\alpha$ -particles detected
(Plots are schematic and not to scale)
An electron makes a transition from orbit $n = 4$ to the orbit $n = 2$ of tha hydrogen atom. The wave number of the emitted radiations ($R =$ Rydberg's constant) will be
According to classical theory, the circular path of an electron in Rutherford atom is
The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number $Z$ of hydrogen like ion is