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A particular hydrogen like ion emits radiation of frequency 2.92×10¹⁵ Hz when it makes transition from n=3 to n=1. The frequency in Hz of radiation emitted in transition from n=2 to n=1 will be

Asked in JEE Main 26th Aug 1st Shift 2021 · Spectral series and wavelengths

Answer: (2) 2.46×10¹⁵

Step-by-step solution

f∝(1/(n_f²)-1/(nᵢ²)) for the same ion.

(f₂₁)/(f₃₁)=(3/4)/(8/9)=(27)/(32)

f₂₁=2.92×10¹⁵×(27)/(32)=2.46×10¹⁵ Hz

Why the other options are wrong

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