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Q.

In an x-ray tube the voltage applied is 20 kV. The energy required to remove an electron from K shell is 19.9 K e V. In the x-rays emitted by the tube (h c = 12420 keÅ)

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a

Lα  x-ray will have energy 19.9  ke V

b

energy of the characteristic x-rays will be equal to or less than 19.9  ke V

c

minimum wavelength will be 62.1 pm

d

 Lα x-ray may be emitted

answer is A, B, C.

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Detailed Solution

(A) Minimum wavelength will correspond to maximum energy i.e.,from   λ to k.
            ΔE=19.9KeV         λmin=1.24×10419.9×103A=0.62A  =62pm.
(B) (B) Energy of the characteristic x–rays will be less than corresponding to  α to K– shell, hence than 19.9 keV.

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