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X-ray from a tube with a target A of ato...

X-ray from a tube with a target A of atomic number Z shows strong `K_(alpha)` lines for target A and two weak `K_(alpha)` lines for impurities. The wavelength of `K_(alpha)` lines is `lambda_(0)` for target A and `lambda_(1)` and `lambda_(2)` for two impurities respectively. `(lambda_(0))/(lambda_(1))=4` and `(lambda_(0))/(lambda_(2))=1/4`. The screening constant of `K_(alpha)` lines is unity. Select the correct alternative(s) :

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 second impurity is `(Z +1)/(2)`

D

The atomic number of second impurity is `(Z)/(2)+1`

Text Solution

Verified by Experts

The correct Answer is:
A, C
`{:((lamda_(0))/(lamda_(1))=4,rArr,((Z_(1)-1)^(2))/((Z-1)^(2))=4),(,rArr,Z_(1)=2Z-1),((lamda_(0))/(lamda_(2))=(1)/(4),rArr,((Z_(2)-1)^(2))/((Z-1)^(2))=(1)(1)/(2)),(,rArr,Z_(2)=(Z+1)/(2)):}`
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