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PhysicsMediumNumerical2023 ยท 31 Jan Shift 1

Q30.For hydrogen atom, ๐œ†1 and ๐œ†2 are the wavelengths corresponding to the transitions 1 and 2 respectively as ๐‘ฅ shown in figure. The ratio of ๐œ†1 and ๐œ†2 is 32. The value of ๐‘ฅ is ______.

What This Question Tests

This problem tests the application of the Rydberg formula for spectral lines in the hydrogen atom to find the ratio of wavelengths for different transitions.

Concepts Tested

Rydberg formula for hydrogen spectrumEnergy levels in hydrogen atom

Formulas Used

1/ฮป = RZยฒ (1/nโ‚ยฒ - 1/nโ‚‚ยฒ)

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