I need help for question b

(a) Yes, the atom is ionized; (b) 5.4 × 10⁻²⁰ J  

Explanation:

(a) Will the atom ionize?

(i) Energy of atom

The formula for the energy levels of a hydrogen atom is:

where E₀ = 2.178 × 10⁻¹⁸ J

For n = 2.

Thus, the energy needed to ionize the atom is 5.445× 10⁻¹⁹ J.

(ii) Energy of photon

E = \dfrac{\text{hc}}{\lambda} = \dfrac{6.626 \times 10^{-34} \text{ J$\cdot$ s}\times 2.998 \times 10^{8} \text{ m/s}}{332 \times 10^{-9}\text{ J}}= 5.98 \times 10^{-18} \text{ J}

This is more than the energy needed to ionize the atom.

Yes, the atom will be ionized.

(B) Kinetic energy of electrons

The kinetic energy of the electron is the difference  between the energy of the photon and that needed to ionize the atom:

KE = E - IE = 5.98× 10⁻¹⁹ J - 5.445 × 10⁻¹⁹ J = 5.4 × 10⁻²⁰ J

there are no contact forces mentioned on the list of choices that you've provided.

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach