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How many photons of wavelength , 50 Å ar...

How many photons of wavelength , `50 Å` are required to produce 0.2 J of energy ? (`h = 6.626 xx 10^(-34) J *s`)

Text Solution

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Let the number of photons be n .
`E = n h (C)/(lambda) ` or , 0.2 = `n xx 6.626 xx 10^(-34) xx (3 xx 10^(8))/(50 xx 10^(-10))`
or , n = `5.03 xx 10^(15)`
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Among the photoelectrons, emitted due to incidence of light of frequency f on a metal surface , only the electrons having the highest kinetic energy can ionise a hydrogen atom. If this experment is performed with light of frequency 5/6f , the photoelectron having the highest kinetic energy can excite a hydrogen atom and from this excited hydrogen atom a photon of wavelength 1215 Å is emitted . Determine the (ii) value of f. Given h=6.625 xx10^(-34)*s,c=3xx10^(8)*s^(-1), 1 eV=1.6 xx10^(-19)J , ionisation energy of hydrogen =13.62 eV.

Knowledge Check

  • If the mass of neutron is 1.7xx10^(-27) kg , then the de Broglie wavelength of neutron of energy 3eV is (h = 6.6xx10^(-34) J.s)

    A
    `1.4 xx 10^(-11) m`
    B
    `1.6 xx 10^(-10)m`
    C
    `1.65 xx 10^(-11) m`
    D
    `1.4 xx 10^(-10)m`

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