The ionisation energy of a hydrogen-like Bohr atom is $4$ rydbergs.

What is the wavelength of radiation emitted when the electron jumps from first excited state to ground state?

The ionisation energy of a hydrogen-like Bohr atom is $4$ Rydbergs.

What is the radius of the first orbit for this atom? Given that Bohr radius of hydrogen atom $=5\times {10}^{-11} \mathrm{m}$ and $1$ Rydberg $=2.2\times {10}^{-18} \mathrm{J}$

A doubly ionised lithium atom is hydrogen-like with atomic number $3$. How many spectral lines are observed in the emission spectrum of the above exciting system?

A particle of charge equal to that of an electron $-\mathrm{e}$ and mass $208$ times the mass of an electron (called mu -meson) moves in a circular orbit around a nucleus of charge $+3\mathrm{e}$ (Take the mass of nucleus to be infinite). Assuming that the Bohr model is applicable to this system,
Derive an expression for the radius of the n-th Bohr orbit.

A particle of charge equal to that of an electron $-\mathrm{e}$ and mass $208$ times the mass of an electron (called mu -meson) moves in a circular orbit around a nucleus of charge $+3\mathrm{e}$ (Take the mass of nucleus to be infinite). Assuming that the Bohr model is applicable to this system. Find the value of $\mathrm{n}$ for which the radius of the orbit is approximately the same as that of the first Bohr orbit for the hydrogen atom.

A particle of charge equal to that of an electron $-\mathrm{e}$ and mass $208$ times the mass of an electron (called mu -meson) moves in a circular orbit around a nucleus of charge $+3\mathrm{e}$ (Take the mass of nucleus to be infinite). Assuming that the Bohr model is applicable to this system, Find the wavelength of the radiation emitted when the mu-meson jumps from the third orbit to the first orbit.