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To produce characteristic X - rays using...

To produce characteristic `X` - rays using a Tungsten target in an X - ray generator , the accelerating should be greater than ……. Volts and the energy of the characterization is …… eV .
(The binding energy of the intermost electron in Tungsten is - 40keV).

Text Solution

Verified by Experts

The correct Answer is:
b

For minimum accelerating voltage , the electron should jump from `n = 2 to n = 1` level `
For characteristic X-rays , `(1)/(lambda) = R_(alpha) (z - 1) ^(2) [1 - (1)/(n^(2))]`
`= R_(alpha) (z - 1) ^(2)`
But `E = h ( c)/(lambda) implies (1)/(lambda) = (E)/(hc)`
`:. (E)/(hc) = R_(alpha) (E)/(hc)`
implies (E_(1))/(E_(2)) = [[1 - (1)/(2^(2))]]/[[1 - (1)/(alpha^(2))]]`
` = E_(1) = (3)/(4) E_(2) = (3)/(4) 40.000 eV = 30.000 eV`
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To produce characteristic X - rays using a Tungsten target in an x - ray generator , the accelerating should be greater then ……. Volts and the energy of the characteristion is …… eV . (The binding energy of the intermost electron in Tungsten is - 40keV).

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Knowledge Check

  • In above question the energy of the characteristic X - rays given out is

    A
    Less than 40 keV
    B
    More than 40 keV
    C
    Equal to 40 keV
    D
    `ge 40 keV`
  • The characteristic of the electrons striking the target in an X-ray tube that, determines the intensity of X-rays is

    A
    energy
    B
    momentum
    C
    number incident per second
    D
    mass
  • The binding energy of the innermost electron in tungsten is 40 keV . To produce characteristic X - rays using a tungsten target in an X - rays tube the potential difference V between the cathode and the anti - cathode should be

    A
    `V lt 40 kV`
    B
    `V le 40 kV`
    C
    `V gt 40 kV`
    D
    `V gt//lt40 kv`
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