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Chemistry Structure of Atom Dual Nature of Electron Numeric Response
Published on: August 14, 2026

The electron energy in hydrogen atom is given by . Calculate the energy required to remove an electron completely from orbit. What is the longest wavelength (in cm) of light that be used to cause this transition?

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The correct answer is:
3

(3.7 × 10 –5 cm)

Electron energy in the 2 nd orbit, i.e., ,

and
Change in energy .
Thus, energy required to remove an electron from 2 nd orbit

According to quantum equation,

Thus, the longest wavelength of light that can cause this transition is

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