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Question

# What is the ratio of wavelength of radiations emitted, when an electron in hydrogen atom jumps from fourth orbit to second orbit and from third orbit to second orbit?

A
27 : 25
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B
20 : 27
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C
20 : 25
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D
25 : 27
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Solution

## The correct option is B 20 : 27The wavelength (λ) of spectral line isgiven by1λ=R(1n21−1n22)When electron jumps from fourth, orbit to second orbit,1λ1=R(122−142)=R×316or λ1=163RWhen electron jumps from third orbit to second orbit,1λ2=R(122−132)=R×536λ2=365RHence, λ1λ2=163R×5R36=2027Note The electron may jump over to an outer orbit of higher energy. This process in which absorption of energy by an electron takes the electron from an inner orbit to some outer orbit of higher energy is called excitation.

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