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in Physics by (69.2k points)

The intensity of sunlight on the surface of earth is 1400 W/m2 .Assuming the mean wavelength of sunlight to be 6000 Å, calculate the number of photons emitted from the sun per second assuming the average radius of earth’s orbit around sun is 1.49 × 1011m.

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Average radius, r = 1.49 × 1011 m. intensity of sunlight received by earth = I = 1400 W/m2 ,

λ = mean wavelength = 6000 Å.

Energy emitted per second by the sum= Power of the sun = W

but, Power, W= nhν, where n is number of photons emitted by sun per sec. .....(i)

Again, intensity at a distance ‘r’ from a point source of power W.

[From equation (i)]

n = 1.18 × 1045 photons per sec.

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