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Question: Suppose \(10^{- 17}J\) of energy is needed by the interior of human eye to see an object. How many p...

Suppose 10−17J10^{- 17}J of energy is needed by the interior of human eye to see an object. How many photons of green light (λ=550nm)(\lambda = 550nm) are needed to generate this minimum amount of energy

A

14

B

28

C

39

D

42

Answer

28

Explanation

Solution

Let the number of photons required =n

nhcλ=10−17n\frac{hc}{\lambda} = 10^{- 17}; n=10−17×λhc=10−17×550×10−96.626×10−34×3×108=27.6=28n = \frac{10^{- 17} \times \lambda}{hc} = \frac{10^{- 17} \times 550 \times 10^{- 9}}{6.626 \times 10^{- 34} \times 3 \times 10^{8}} = 27.6 = 28 photons