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JEE Main20238 Apr 2023Evening ShiftPhysicsAtomic PhysicsActual

The ratio of wavelength of spectral lines H α and H β in the Balmer series is x 20 . The value of x is _____.

Correct answer

0

Step-by-step solution

The formula to calculate the wavelength of H α -line in Balmer series is given by h c λ α = 13 . 6 1 4 - 1 9       . . . 1 The formula to calculate the wavelength of H β -line in Balmer series is given by h c λ β = 13 . 6 1 4 - 1 16       . . . 2 Divide equation (2) by equation (1) ⇒ λ α λ β = 1 4 - 1 16 1 4 - 1 9 = 36 64 × 12 5 = 27 20

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