The concentration of photons in a uniform light beam with a wavelength of 500nm is 1 7 * 1013/ m3 - Chemistry - Structure of Atom

Question

The concentration of photons in a uniform light beam with a
wavelength of 500nm is 1 7 * 1013/ m3 The
intensity of the beam is in W / m2

Kumar Sarang · Accepted Answer

Energy of a photon E= hcλ = 6
63 ×10-34×3×108500×10-9                                                                            = 3
978×10-19 JEnergy density  of photon per m3 = 3
978×10-19 J ×1
7×1013/m3                                                             = 6
76 × 10-6 J/m3Distance travelled by a beam of light in 1 second = 3×108 mLet the cross sectional area of a beam be A m2Thus volume of light passing through in 1 second = Area × length                                                                                          =  A ×3×108 m3                                                    Power or energy per second = Energy Density × Volume of light passing                                                                                      =6
76 × 10-6 ×A ×3×108  W                                                 Intensity  = powerarea=  6
76 × 10-6 ×A ×3×108 WA m2=2
028×103 W/m2

The concentration of photons in a uniform light beam with a wavelength of 500nm is 1.7 * 1013/ m3 . The intensity of the beam is in W / m2

The concentration of photons in a uniform light beam with a wavelength of 500nm is 1.7 * 10¹³/ m³. The intensity of the beam is in W / m²