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A photon is emitted in transition from n=4 to n=1 level in hydrogen atom. The corresponding wavelength for this transition is (given, h=4×10⁻¹⁵ eVs)

Asked in JEE Main 24th Jan 2nd Shift 2023 · Spectral series and wavelengths

(1) 941 nm
(2) 974 nm
(3) 99.3 nm
(4) 94.1 nm

Answer: (4) 94.1 nm

Step-by-step solution

Δ E=13.6(1-1/(16))=12.75 eV

λ=(hc)/(Δ E)=(4×10⁻¹⁵×3×10⁸)/(12.75)=9.41×10⁻⁸ m

λ=94.1 nm

Why the other options are wrong

(1) Slips a power of ten.
(2) Uses hc=1240 and slips a power of ten.
(3) Uses a wrong energy.

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