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Q.

When a point light source, of power W emitting   monochromatic light of wavelength λ is kept at a distance r from a photosensitive surface of work -function ϕ and area s, then number of photons striking the surface per unit time is

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a

Wλs4πhcr2

b

4πWshcλr2

c

hcλ4πWsr2

d

W2λs4πhcr2

answer is A.

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Detailed Solution

The number of photons released per unit time
n= power  energy of each photon =W(hc/λ)
These photons are spread out in all directions over an area 4πr2. The share of an area s is s/4πr2 of total  number of photons. So, the number of photons striking area s of photo-sensitive surface per unit time
n=W(hc/λ)×s4πr2=Wλs4πhcr2

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