Answer :

(a) Energy of photon E = hv = hc/λ


Where h = plank’s constant = 6.63 × 10-34 J. sec


ν = frequency of light


c = speed of light = 3 × 108 m/s


λ = wavelength of light


E = 6.63 × 10-34 × 3 x108 / 589 × 10-9


= 3.38 × 10-19 J


Energy of a photon is equal to 3.38 × 10-19 J.


(b) Rate of photon falling on the sphere = power of lamp/energy per photon


Rate of photon = 100 / 3.38 × 10-19J = 3.0 × 1020 photons/sec.


Rate at which photons are falling on the sphere is equal to 3.0 × 1020 photons/sec.


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