Embibe Experts Solutions for Chapter: Atomic Physics, Exercise 4: Exercise (Previous Year Questions)

In a Rutherford scattering experiment when a projectile of charge $Z_1$ and mass $M_1$ approaches a target nucleus of charge $Z_2$ and mass $M_2$, the distance of the closest approach is $r_{\circ }$. The energy of the projectile is

The wave length 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

Ratio of longest wave lengths corresponding to Lyman and Balmer series in hydrogen spectrum is:

In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is: 

When an $\alpha$-particle of mass $m$ moving with velocity $v$ bombards on a heavy nucleus of charge $\text{'}Ze\text{'}$, its distance of closest approach from the nucleus depends on $m$ as:

If an electron in a hydrogen atom jumps from the $3^{\text{rd }}$orbit to the $2^{\text{nd }}$ orbit, it emits a photon of wavelength $\lambda$. When it jumps from the $4^{\text{th }}$orbit to the $3^{\text{rd }}$ orbit, the corresponding wavelength of the photon will be

The ratio of wavelength of the last line of Balmer series and the last line Lyman series is:

In hydrogen atom the wavelength of photon released when transition of electron takes place from orbit of radius 1322.5 pm to 0.2116 nm is :-