The longest wavelength of light that can be used for the ionisation of lithium atom \((Li)\) in its ground state is \(x \times 10^{-8}\, m\). The value of \(x\) is \(.....\)  (Nearest Integer) (Given : Energy of the electron in the first shell of the hydrogen atom is \(-2.2 \times 10^{-18} \,J\); \(h =6.63 \times 10^{-34}\, Js\) and \(c =3 \times 10^{8} \,ms ^{-1}\) )

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.