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Question

For the hydrogen atom, En=1n2E1, Where, E1=2.178×1018J.
Assuming that the electrons in other shells exert no effect, find the minimum no. of Z (atomic no.) at which a transition from the second energy level to the first results in the emission of an X-ray.
Given that the lowest energy X-rays have λ=4×108m.

A
2
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B
3
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C
4
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D
5
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Solution

The correct option is A 2
E1=2.178×1018J
E2=2.178×10184E2E1=hcλ
Z2×2.178×1018(34)=3×108×6.626×10344×108
Z2=4
Hence Z=2

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