Solar Radiation is incident on the surface of the Earth at an average of 1000 W/

Question

Solar Radiation is incident on the surface of the Earth at an average of 1000 W/m^2. This is measured on a surface which is perpendicular to the incoming light. Find the number of photons corresponding to UVB radiation of mean wavelength of 300 nm falling on an area 1 cm^2 Solar Radiation is incident on the surface of the Earth at an average of 1000 W/m^2. This is measured on a surface which is perpendicular to the incoming light. Find the number of photons corresponding to UVB radiation of mean wavelength of 300 nm falling on an area 1 cm^2

Explanation / Answer

Energy of one photon

= hc/w

= 6.634*10^-34 * 3 * 10^8 / (3 * 10^-7)

= 6.634 * 10^-19 J

Energy per square meter = 1000 J/s

Thus, energy per square cm = 1000 * 10^-4 = 0.10 J/s

Thus, no. of photons = 0.10 / (6.634 * 10^-19)

= 1.5 * 10^17 photons

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