A Plane electromagnetic wave with wavelength 0.01m and lectricfiled 100V/m impin

Question

A Plane electromagnetic wave with wavelength 0.01m and lectricfiled 100V/m impinges on a face of an ice cube for 10s. The icecube has sides of length 0.01m. Assume that the energgy of the wavethat ipinges on the cube is totally absorbed. a) how much energy was absorbed by the ice cube? b) how many phtons were absorbed by ice cube? A Plane electromagnetic wave with wavelength 0.01m and lectricfiled 100V/m impinges on a face of an ice cube for 10s. The icecube has sides of length 0.01m. Assume that the energgy of the wavethat ipinges on the cube is totally absorbed. a) how much energy was absorbed by the ice cube? b) how many phtons were absorbed by ice cube?

Explanation / Answer

First of all let us find out the intensity of tehelectromagnetic wave given by I = (1/2)c0E^2                                                                                  =(0.5)(3*10^8m/s)(8.85*10^-12Nm^2/C^2)(100V/m)^2                                                                                 = 13.275W/m^2 then the power on the ice cube is P =(13.275W/m^2)(0.01m)^2                                                      = 0.0013275W then the energy incident on the ice cube is E =(0.0013275W)(20s)                                                                   = 0.02655J Number of photons absorbed is n = Ec/h                                                    = [(0.02655J)(3*10^8m/s)]/[(6.625*10^-34Js)(0.01m)]                                                    = 1.2*1042

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