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A monochromatic source of light operatio...

A monochromatic source of light operation at 200 W emits `4xx10^(20)` photons per second. Find the wavelength of the light `"(in" 10^(-7)m`).

Text Solution

Verified by Experts

The energy of each photon `=(200(J)/(s))/((4xx10^(20))/(s))=5xx10^(-19)J`
Wavelength `=lamda=(hc)/(E)`
`=((6.63xx10^(-34)J-s)xx(3xx10^(8)(m)/(s)))/((5xx10^(-19)J))`
`=4.0xx10^(-7)`m
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Knowledge Check

  • A monochromatic source of light emits photons of frequency 6 xx 10^(14 )Hz . The power emitted by the source is 8 x 10^(-3)W. Calculate the number of photons emitted per second. (Take h = 6.63 xx 10^(-34) Js )

    A
    `6 xx 10^(14)`
    B
    `4 xx 10^(15)`
    C
    `2 xx 10^(16)`
    D
    `1 xx 10^(17)`