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JEE Main 2026 · 6 Apr · Shift 1, Physics question 44

The ratio of momentum of the photons of the 1st and 2nd line of Balmer series of Hydrogen atoms is α/β\alpha/\beta. The possible values of α\alpha and β\beta are:-

Choose one option
Answer and worked solution

Official answer: D

Balmer lines. Photon momentum is p=hλ∝1λp=\dfrac h\lambda\propto\dfrac1\lambda.

  • First line: 14−19=536\tfrac14-\tfrac19=\tfrac5{36}.
  • Second line: 14−116=316\tfrac14-\tfrac1{16}=\tfrac3{16}.

Ratio.
5/363/16=2027.\frac{5/36}{3/16}=\frac{20}{27}.

(D)