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Find the a. maximum frequency, and b...

Find the
a. maximum frequency, and
b. minimum wavelength of X-rays produced by 30 kV electrons.

Text Solution

Verified by Experts

`V=30kV=30xx10^(3)V, K_("max")=eV=1.6xx10^(-10)xx30xx10^(3)`
a. `h upsilon=eV`
`upsilon=(e )/(h)V=(1.6xx10^(-19)xx30xx10^(3))/(6.62xx10^(-34))=7.25xx10^(18)Hz`
b. `v=upsilon lambda`
`lambda=(v)/(upsilon)=(3xx10^(8))/(7.25xx10^(18))=0.414xx10^(-10)m=0.0414xx10^(-9)m=0.0414 nm`
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Knowledge Check

  • The minimum wavelength of X-rays produced in an X-ray tube at 1000 kV is

    A
    0.0124 Å
    B
    0.124 Å
    C
    1.24 Å
    D
    0.00124 Å

  • The wavelength of X-rays is in the order of

    A
    `10^(-8)cm`
    B
    `10^(-10)cm`
    C
    `10^(-8)m`
    D
    `10^(-10)nm`

  • The potential difference between the cathode and the target in a coolidge tube is 120 kV. What can be the minimum wavelength (in Å ) of the X-rays emitted by this tube ?

    A
    0.4 `Å`
    B
    0.3 `Å`
    C
    0.2 `Å`
    D
    0.1 `Å`

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