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Q.

In an X-ray tube the accelerating voltage is 20 kV. Two targets A and B are used one by one. For ‘A’ the wavelength of the Kα  line is 62 pm. For ‘B’ the wavelength of the  Lα line is 124pm. The energy of the ‘B’ ion with vacancy in ‘M’ shell is 5.5 keV higher than the atom of B. [Take h c = 12400 e VA°]

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a

A will emit  Kα– photon

b

B will emit L – photons.

c

minimum wavelength (in Å) of the characteristic X-ray that will be emitted by ‘B’ is 0.8 Å.

d

Value of λmin  is 0.62 Å.

answer is A, C, D.

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Detailed Solution

(A)  λmin=hcK.Eofe=1240020×103A=0.62A=62pm.
(B) Since λmin=62pm,Kα  from A will not be obtained.
(C) L–photons can be emitted if electron from L–shell can be removed the energy  required to remove L–shell electrons.
 =55.5KeV+12400124×102eV=15.5KeV.
As the energy of encoming electron is 20 keV > 15.5 keV, the L–shell electron can be  removed. Hence, L photon can be obtained.
The minimum wavelength will correspond to the transimition from   to L–shell.
 λ=1240015.5×103A=0.8A

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