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An element of atomic number 9 emits K(al...

An element of atomic number 9 emits `K_(alpha)` X-ray of wavelength `lamda`. Find the atomic number of the element which emits `K_(alpha)` X-ray of wavelength `4lamda`.

A

6

B

4

C

11

D

44

Text Solution

Verified by Experts

The correct Answer is:
A
`lambda prop 1/(Z-1)^2`
`rArr lambda_1/lambda_2=(Z_2-1)^2/(Z_1-1)^2`
`rArr lambda/(4lambda)=(Z_2-1)^2/(11-1)^2`
`rArr 1/2=(Z_2-1)/10`
`rArr Z_2-1=5`
`rArr Z_2`=6
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