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The wavelength of Kalpha and Lalpha X-ra...

The wavelength of `K_alpha` and `L_alpha` X-rays of a material are 21.3 pm and 141 pm respectively. Find the wavelength of `K_beta` X-ray of the material.

Text Solution

Verified by Experts

Given `E_1=1242/(21.3xx10^-3) =58.309xx10^-3`
` =E_2=1242/(141xx10^-5) `
` 8.8085 xx10^3eV `
` E_3=E_1+E_2 `
` (58.309+8.909)10eV `
` =67.118xx10^3eV `
` lambda=(hc)/E^3=1242/(67.118xx10^3) `
` =18.5xx10^-3nm=18.5p m`
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Knowledge Check

  • 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 wavelength of range of x-rays is _____ (m).

    A
    `10^(-4) " to" 10^(-2)`
    B
    `10^(-14)" to" 10^(-9)`
    C
    `10^(-10) " to "3 xx 10^(-8)`
    D
    `10^(-3)" to" 10^(-5)`

  • Wavelength of K_(a) line of X-ray spectra varies with atomic number as

    A
    `lambda prop Z`
    B
    `lambda prop sqrtZ`
    C
    `lambda prop (1)/(Z^(2))`
    D
    `lambda prop (1)/(sqrtZ)`

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