Q. The minimum light intensity that can be perceived by the eye is about $10^{10}\ Wm^{- 2}.$ The number of photons of wavelength $5.6 \times 10^{- 7}$m that must enter the pupil of area $10^{- 4}m^{3}s^{- 1}$, for vision is approximately equal to $(h = 6.6 \times 10^{- 34}$J-s)

A) $3 \times 10^{2}$ photons
B) $3 \times 10^{3}$ photons
C) $3 \times 10^{4}$ photons
D) $3 \times 10^{5}$ photons
Explanation

(c) Light intensity $= 10^{- 10}W\ m^{- 2}.$ So energy falling on area of point to be perceived
$= 10^{- 10} \times 10^{- 4} = nhc/\lambda$
or $n = \frac{10^{- 14} \times 5.6 \times 10^{- 7}}{6.6 \times 10^{- 34} \times 3 \times 10^{8}} = 3 \times 10^{4}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.