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A cobalt (atomic no. =27 ) target is bo...

A cobalt (atomic no. =27 ) target is bombereded with electrons and the wavelength of its characteristic `x`-rays spectrum are measured. A seconf weak characteristic spectrum is also found due to an impurity in the target. The wavelength of the `K_(alpha)` lines `225.0pm` (cobalt ) and `100.0pm` (impurity). Atomic number of the impurity is `(take b=1)`

A

`39`

B

`40`

C

`59`

D

`60`

Text Solution

Verified by Experts

The correct Answer is:
B

Using Mosely's law For for Both cobalt and impurity
` sqrtv=K(Z-1) Rightarrowsqrt(c/lambda)=K(Z-1)
sqrt(c/lambda_(c0))=K(Z_(co)-1)and sqrt(c/lambda)_(xx)=K(Z_(xx)-1)`
` sqrt(lambda_(c0)/(lambda_(xx)))=Z_(xx-1)/(Z_(c0)-1)RightarrowZ_(xx)=40`
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