Energy of photon,
"E=hc\/\u03bb=6.62\u00d710^{\u221234}\u00d73\u00d710^8\/600\u00d710^{\u22129}\u22483.3\u00d710^{\u221219}J"
The number of photons emitted per second,
"n=300\/(3.3\u00d710^{\u221219})=9.1\u00d710^{20}s^{\u22121}"
The radiation is spherically symmetrical, the number of photons entering the sensor per second is the product of n and ratio of aperture area to the area of sphere of radius 10 m:
"(9.1\u00d710^{20})(\\pi\u00d7(0.01)^2)\/(4\u00d7\u03c0\u00d710^2)=2.3\u00d710^{14} photon\/second"
Therefore, number of photons entering the sensor in 0.1 s (or 100 ms)="2.3*10^{14}*0.1=2.3*10^{13} photons"
Comments
Leave a comment