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The wavlength of K(alpha), X-rays produc...

The wavlength of `K_(alpha),` X-rays produced by an X-ray tube 0.76Å . The atomic number of the anode material of the tube is

A

`82`

B

`41`

C

`20`

D

`10`

Text Solution

Verified by Experts

For `K_(alpha)X-`ray line,
`(1)/(lambda_(alpha))=R(Z-1)^(2)[(1)/(1^(2))-(1)/(2^(2))=R(Z-1)^(2)[1-(1)/(4)]`
`rArr (1)/(lambda_(alpha))=(3)/(4)R(z-1)^(2)`…..(`1`)
With reference to given data,
`lambda_(0)=0.76Å=0.76xx10^(-10)m`
`R=1.097xx10^(7)m`
Putting these values in Eq. (`1`),
`(Z-1)^(2)=(4)/(3)(1)/(0.76xx10^(-10)xx1.097xx10^(7))~=1600`
`rArr Z-1=40rArrZ=41`
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