Problem: What is the longest wavelength light capable of ionizing a hydrogen atom in the ground state?

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Relationship between change in quantum energy and photon energy:

E=hf=hcλ

We are looking for the wave whose photon energy is equal to the ionization energy of hydrogen.

Plank's constant, h = 6.63 × 10-34 J/s

Speed of light, c = 3.0 × 108 m/s

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What is the longest wavelength light capable of ionizing a hydrogen atom in the ground state?