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Find the number of photons emitted per second by a `MW` transmitter of `10 kW` power emitting radiowaves of wavelength `500 m`.

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Estimate the following the following two numbers should be interesting. The first number will tell you why radio engieers do not need to worry much about a photons. The second number tells you why our eye can never "count photon" even in barely detectable light. (i) The number of photons emitted per second by a MW transmitter of 10kW power emitting radiowaves of length 500m. (ii) The number of photons entering the pupil of our eye per second corresponding to the minimum intensity of white light that we humans can precieve (~10^(-10)Wm^(-2)) . Take the area of the pupil to be about 0.4cm^(2) , and the average frequency of white light to be about 6xx10^(4)Hz. (h=6.6xx10^(-34)J)

(a) Calculate the momentum of a photon of light of wavelength 500 nm. (b) Find the number of photons emitted per second by a 25 W sourse of monochromatic light of wave length 600 nm. (c) How many photons per second does a one watt bulb emit if its efficiency is 10% and the wavelength of light emitted is 500 nm? (d) Monochromatic light of wavelength 300 nm is incident normally on a surface of area 4 cm^(2) . If the intensity of light is 150 m W//m^(2) , determine the rate at which photons strike the surface.

Knowledge Check

  • Find the number of photon emitted per second by a 25 watt source of monochromatic light of wavelength 6600 Å. What is the photoelectric current assuming 3% efficiency for photoelectric effect ?

    A
    `(25)/(3) xx 10^(19)` J, 0.4 amp
    B
    `(25)/(4) xx 10^(19)` J, 6.2 amp
    C
    `(25)/(2) xx 10^(19)` J, 0.8 amp
    D
    None of these

  • A 10 kW transmitter emits radio waves of 500 m wavelength. The number of photons emitted per second by the transmitter is of the order of :-

    A
    `10^(25)`
    B
    `10^(31)`
    C
    `10^(43)`
    D
    `10^(37)`

  • The number of photons emitted per second by a 62W source of monochromatic light of wavelength 4800 A^(@) is

    A
    `1.5xx10^(19)`
    B
    `1.5xx10^(20)`
    C
    `2.5xx10^(20)`
    D
    `4xx10^(20)`

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