The number of photons falling per second on a completely darkened plate to produce a force of 6.62 × 10 -5 N is n × 10 22 . If the wavelength of the light falling is 5 × 10 - 7 m , then what is the value of n ? h = 6.62 × 10 - 34 J s

Step-by-step solution

The energy carried by n photons per second P = n . h c λ As photons get absorbed by dark plate, the force experienced by the plate F = 1 c .   n h c λ Or F × c = n . h c λ a s   p o w e r   P = f o r c e × s p e e d Or n = F λ h = 6.62 × 10 - 5 × 5 × 10 - 7 6.62 × 10 - 34 = 5 × 10 22