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Question

X-ray from a tube with a target A of atomic number Z shows strong Kα lines for target A and two weak Kα lines for impurities. The wavelength of Kα lines is λ0 for target A and λ1 and λ2 for two impurities respectively.λ0λ1=4 and λ0λ2=14. The screening constant of Kα lines is unity. Select the correct alternative(s) :

A
The atomic number of first impurity is 2Z1
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B
The atomic number of first impurity is 2Z+1
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C
The atomic number of second impurity is Z+12
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D
The atomic number of second impurity is Z2+1
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Solution

The correct options are
A The atomic number of first impurity is 2Z1
B The atomic number of second impurity is Z+12
λ0λ1=4(Z11)2(Z1)2=4Z1=2Z1

λ0λ2=14(Z21)2(Z1)2=14Z2=Z+12

So, the answers are option (A) & (C).

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