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Q.

If an electron in a hydrogen atom jumps from the 3rd orbit to the 2rd orbit, it emits a photon of wavelength λ. When it jumps from the 4rd orbit to the 3rd orbit, the corresponding wavelength of the photon will be

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a

1625λ

b

916λ

c

207λ

d

2013λ

answer is C.

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Detailed Solution

When electron jumps from higher orbit to lower orbit then, wavelength of emitted photon is given by,1λ=R1nf2-1ni2 so, 1λ=R122-132=5R36 and 1λ'=R132-142=7R144∴λ'=1447×5λ36=20λ7
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If an electron in a hydrogen atom jumps from the 3rd orbit to the 2rd orbit, it emits a photon of wavelength λ. When it jumps from the 4rd orbit to the 3rd orbit, the corresponding wavelength of the photon will be