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Figure shows the variation of frequency ...

Figure shows the variation of frequency of a characterstic x-ray and atomic number.

(i) Name the characterstics x-ray
(ii) Find the energy of photon emitted when this x-ray is emitted by a metal having `z=101`

Text Solution

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The correct Answer is:
A, D
i. From Moseley's law `sqrt(v)=a(z-b)`
`v=0` at `z=b`. From graph `v=0` at `z=1`
`:.b=1 :.K_(alpha)`
ii. For `K_(alpha), sqrt(v)=sqrt((3RC)/4)(z-1)`
Photon energy `=hv=3/4 hRC. 100^(3)=3/4xx13.6xx100^(2)=102keV`
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