The wavelength corresponding to maximum energy for hydrogen is 91.2 nm91.2 nm. The corresponding wavelength for He+He+ ion is
Question
The wavelength corresponding to maximum energy for hydrogen is 91.2 nm. The corresponding wavelength for He<sup>+</sup> ion is
Solution
The energy of a photon is given by the equation E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength.
For hydrogen, the wavelength corresponding to maximum energy is 91.2 nm.
For He+, the energy levels are four times those of hydrogen (because the charge of the nucleus is twice that of hydrogen, and energy levels go as the square of the nuclear charge).
Therefore, the wavelength corresponding to maximum energy for He+ would be 91.2 nm / 4 = 22.8 nm.
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