A hydrogen-like atom of atomic number is in a higher excited state of quantum number

PHYSICS · Subjective · CBSE · Physics · Atoms · Atoms

Problem

A hydrogen-like atom of atomic number

Z

is in a higher excited state of quantum number

n

. The atom can transition to the first excited state by successively emitting photons of energies

10.2\ \text{eV}

and

17.0\ \text{eV}

. Alternatively, from the same excited state, it can transition to the second excited state by successively emitting photons of energies

4.25\ \text{eV}

and

5.95\ \text{eV}

. Determine the values of

n

and

Z

. The ionisation energy of the hydrogen atom is

13.6\ \text{eV}