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Find the energy, the frequency and the m...

Find the energy, the frequency and the momentum of an X-ray photon of wavelength 0.10 nm.

Text Solution

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Given `lambda=0.1nm `
(a) `Energy =(hc)/lambda `
` =(1242eVnm)/(0.1nm) `
` =12420eV `ltbr.` 12.42KeV `
` ~~12.4KeV `
` (b) Frequency=c/lambda=(3xx10^8)/(0.1xx10^-9) `
` 3xx10^8Hz `
(c) Momentum
` E/c=(12.4xx10^3xx1.6xx10^-19)/(3xx10^8) `
` 6.613xx10^-24Kg-m//s `
` 6.62xx10^-24Kg-m//s `
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Knowledge Check

  • The momentum of a photon of wavelength lambda is

    A
    `h lambda`
    B
    `h//lambda`
    C
    ` lambda//h `
    D
    `h//c lambda`

  • Momentum of a photon of wavelength lamda is

    A
    `(h)/(lamda)`
    B
    Zero
    C
    `(h lamda)/(c^(2))`
    D
    `(h lamda)/(c)`

  • The momentum of photon of wavelength 0.01 Å will be

    A
    h
    B
    `10^(-2) h`
    C
    `10^12 h`
    D
    ` 10^2 h`

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