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PhysicsHardMCQ2019 · 10 Apr Shift 2

Q28.In Li+ + ,electron in first Bohr orbit is excited to a level by a radiation of wavelength λ.When the ion gets de excited to the ground state in all possible ways (including intermediate emissions), a total of six spectral lines are observed. What is the value of λ ? (Given: ℎ= 6.63 × 10-34 J s ; 𝑐= 3 × 108 m s-1 ) (1) 10.8 nm (2) 9.4 nm (3) 11.4 nm (4) 12.3 nm

What This Question Tests

This problem requires determining the initial excited state of an electron from the total number of spectral lines observed and then calculating the wavelength of the exciting radiation.

Concepts Tested

Energy levels in hydrogen-like atomsNumber of spectral linesPhoton energy and wavelength

Formulas Used

Number of spectral lines = n(n-1)/2

E_n = -13.6 Z²/n² eV

ΔE = hc/λ

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