Class XII Physics Atoms 3

In which of the following systems will the radius of the first orbit be minimum ?

The radius of the shortest orbit in a one electron system is 18 pm. It may be–

Which of the following parameters is the same for all hydrogen like atoms in their ground states?

If E_n and J_n are the magnitude of total energy and angular momentum of electron in the n^th Bohr orbit respectively, then -

The value of series limit in the case of paschen series is -

Three atomic states of a hydrogenic atom are shown in the figure. The transition from C to B yields a photon of wavelength 364.6 nm and the transition from B to A yields a photon of wavelength 121.5 nm. Then the transition from C to A will yield a photon of wavelength –

An excited hydrogen atom emits a photon of wavelength λin returning to the ground state. If R is the Rydberg's constant, then the quantum number n of the excited state is -

Suppose that the potential energy of an hypothetical atom consisting of a proton and an electron is given by U = – ke²/3r³. Then if Bohr's postulates are applied to this atom, then the radius of the n^th orbit will be proportional to