X-ray from a tube with a target `A` of atomic number `Z` shows strong `K` lines for target `A` and weak`K` lines for impurities. The wavelength og `K_(alpha)` lines is `lambda_(z)` for target `A` and `lambda_(1) and lambda_(2)` for two impurities.
`(lambda_(z))/(lambda_(1)) = 4 and (lambda_(z))/(lambda_(2)) = (1)/(4)`
Assuming the screeining contant of `K_(alpha)` lines to be unity select the correct statement(s).

Options

A. The atomic number of first impurity is 2Z-1
B. The atomic number of first impurity is 2Z+1
C. The atomic number of first impurity is `(Z+1)/2`
D. The atomic number of second impurity is Z/2+1

Explanation

`{:((lambda_(0))/(lambda_(1))=4,implies,((Z_(1)-1)^(2))/((Z-1)^(2))=4,implies,Z_(1)=2Z-1),((lambda_(0))/(lambda_(2))=1/4,implies,((Z_(2)-1)^(2))/((Z-1)^(2))=4,implies,Z_(2)=(Z+1)/2):}`