NEET Physics Atoms MCQs

A muonic hydrogen atom is formed when a muon (a particle with a mass approximately 207 times that of an electron but the same charge) replaces the electron. Considering Bohr's model, what is the ratio of the ionization energy of muonic hydrogen to that of regular hydrogen?

According to Bohr's model, an electron transitioning from the n=4 to n=2 state in a hydrogen-like ion emits a photon with a wavelength of 486 nm. What is the atomic number (Z) of this ion?

Consider a hypothetical universe where the electrostatic force between two charges is proportional to $1/r^3$ instead of $1/r^2$. According to the Bohr model adapted for this universe, how would the radius of the nth orbit ($r_n$) depend on n?

In the Bohr model, the ratio of the kinetic energy (K) to the potential energy (U) of an electron in the nth orbit is:

Which of the following is NOT a limitation of Bohr's model?

If the radius of the first Bohr orbit of a hydrogen atom is $a_0$, what is the radius of the first Bohr orbit of a $Li^{2+}$ ion?

An electron in a hydrogen atom transitions from an unknown energy level $n_i$ to $n_f = 2$. If the emitted photon has a wavelength of 486 nm, what is the value of $n_i$? (Rydberg constant, R = $1.097 imes 10^7 m^{-1}$)

Which of the following statements is INCORRECT regarding the absorption spectrum of hydrogen?

(A) It consists of dark lines against a continuous background.

(B) The lines correspond to photons absorbed by the electron transitioning to higher energy levels.

(C) The wavelengths of the absorbed photons are identical to the wavelengths of the emitted photons in the emission spectrum.

(D) The absorption spectrum can be used to identify the presence of hydrogen in a sample.

The ratio of the wavelengths of the first line of the Lyman series and the first line of the Balmer series in the hydrogen spectrum is:

A singly ionized Helium atom emits a photon of wavelength 164 nm. If the final state of the electron is n=3, what was the initial state?