A small metal plate (work function =1.17 eV) is placed at a distance of 2m from a monochromatic source of light of wavelength 4.8×m and power 20
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For a light source of say 20 watt the number of photons if n and each having nu frequency
E = n.h. nu
where E is total energy and nu = c/lambda = 3.10^8 /(4.8 .10^-7) per sec
so photon number n per sec = E/(h . nu)
therefore per square meter
this photon flux = (1/4 pi) (E/h.nu) per sq m per sec
but the plate is at 2m therefore the flux will further decrease to 1/4 using inverse square law
= (1/16 pi) (E/h.nu) per sq m per sec
= (1/16 pi) {20 J /s }/ {6.62 . 10^-34 J-s x (5/8 ) 10^15}
so
the number of photons
hitting the plate per square meter = approx 10^20 photons /sq m-sec
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