Q84 / 90 · JEE Main 2022 (27 Jun Shift 1) · Physics

A beam of monochromatic light is used to excite the electron in Li++ from the first orbit to the third orbit. The wavelength of monochromatic light is found to be x×10-10 m. The value of x is _____ .

[Given hc=1242 eV nm]

Correct answer: 114

Solution

Energy released in the transition will be,

ΔE=13.6×Z2112-132  =13.6×32×89 eV=108.8 eV

Now energy of photon can be written as,

hcλ=108.8 eV ⇒λ=12400108.8 Ao≈114 Ao

Hence, the correct answer is 114.

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