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Question

The angular momentum of an electron in a Bohr orbit of H-atom is 4.2178×1034kgm2/sec. Calculate wavelength of the spectral line emitted when an electron falls from this level to the next lower level.

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Solution

We know, mvr=nh2π

4.2178×1034=n×6.626×10342×3.14

n=4

1λ=RH[1n211n22]

=109678[132142]
λ=1.8×104cm.

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