Which one of the following statements is $WRONG$ in the context of $X$-rays generated from an $X$-ray tube?

  • A
    Wavelength of characteristic $X$-rays decreases when the atomic number of the target increases.
  • B
    Cut-off wavelength of the continuous $X$-rays depends on the atomic number of the target.
  • C
    Intensity of the characteristic $X$-rays depends on the electrical power given to the $X$-ray tube.
  • D
    Cut-off wavelength of the continuous $X$-rays depends on the energy of the electrons in the $X$-ray tube.

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The diagram shows a graph between the intensity of $X$-rays emitted by a molybdenum target and the wavelength,when electrons of $30 \ keV$ are incident on the target. In the graph,one peak corresponds to the $K_\alpha$ line and the other peak corresponds to the $K_\beta$ line.

If the frequency of $K_\alpha$ $X$-rays emitted from the element with atomic number $31$ is $v$,then the frequency of $K_\alpha$ $X$-rays emitted from the element with atomic number $51$ would be:

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