A beam of electrons accelerated by a large potential difference V is made to strike a metal target to produce X-rays. For which of the following values of V, the resulting X-rays have the lowest minimum wave length:

 

  • Option 1)

    10 KV

  • Option 2)

    20 KV

  • Option 3)

    30 KV

  • Option 4)

    40 KV

 

Answers (1)
A Aadil

 

Continuous x-ray -

\lambda ^{min}=\frac{hc}{ev}

- wherein

Also called cutoff wavelength . All other wavelength are greater than this.

 

 For continuous X-Ray

\lambda _{min}=\frac{hc}{eV}

\therefore \lambda _{min}\propto \frac{1}{V}

\therefore \lambda _{min} will be lowest for highest value of applied potential.

V=40 KV


Option 1)

10 KV

Incorrect

Option 2)

20 KV

Incorrect

Option 3)

30 KV

Incorrect

Option 4)

40 KV

Correct

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