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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

  • Momentum of photon of wavelength lambda is

    A
    `(h)/(lambda)`
    B
    zero
    C
    `(h lambda)/(c^(2))`
    D
    `(h lambda)/(c)`

  • What is the energy of a photon of wavelength 6000Å

    A
    `3.3 xx 10^(-10) J`
    B
    ` 4.4 xx 10^(-19)J`
    C
    `3.3 xx 10^(-19)J`
    D
    `4.4 xx 10^(-10)J`

  • The energy of photon of wavelength lambda is

    A
    `(hc)/(lambda)`
    B
    `h lambda c`
    C
    `(lambda)/(hc)`
    D
    `(h lambda)/(c)`

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