Q19 of 59 Page 395

The wavelengths of Kα and Lα X-rays of a material are 21.3 pm and 141 pm respectively. Find the wavelength of Kβ X-ray of the material

Given:


wavelength of rays =21.3 pm


wavelength of rays =141 pm


Energy of rays E1 is given by






Energy of rays E2 is given by




Energy of rays E3 is given by





wavelength of is given by





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17

Use Moseley’s law with b = 1 to find the frequency of the Kα X-ray of La (Z = 57) if the frequency of the Kα X-ray of Cu (Z = 29) is known to be 1.88 × 1016 Hz.

 18

The Kα and Kβ X-rays of molybdenum have wavelengths 0.71 and 0.63 respectively. Find the wavelength of Lα X-ray of molybdenum

20

The energy of a silver atom with a vacancy in K shell is 25.31 keV, in L shell is 3.56 keV and in M shell is 0.530 keV higher than the energy of the atom with no vacancy. Find the frequency of Kα, Lβ and Lα X-rays of silver.

 21

Find the maximum potential difference which may be applied across an X-ray tube with tungsten target without emitting any characteristic K or L X-ray. The energy levels of the tungsten atom with an electron knocked out are as follows.