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Question
In astronomical observations, signals observed from the distant stars are generally weak. If the photon detector receives a total of 3.15 × 10–18 J from the radiations of 600 nm, calculate the number of photons received by the detector.
In astronomical observations, signals observed from the distant stars are generally weak. If the photon detector receives a total of 3.15 × 10–18 J from the radiations of 600 nm, calculate the number of photons received by the detector.
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Solution
From the expression of energy of one photon (E),
E=hcλ
Where, λ = wavelength of radiation
h = Planck’s constant
c = velocity of radiation
Substituting the values in the given expression of E:
E=(6.626×10−34Js)(3×108ms−1)(600×10−9m)=3.313×10−19J
Energy of one photon = 3.313 × 10–19 J
Number of photons received with 3.15 × 10–18 J energy
3.15×10−18J3.313×10−19J=9.5≈10
From the expression of energy of one photon (E),
E=hcλ
Where, λ = wavelength of radiation
h = Planck’s constant
c = velocity of radiation
Substituting the values in the given expression of E:
E=(6.626×10−34Js)(3×108ms−1)(600×10−9m)=3.313×10−19J
Energy of one photon = 3.313 × 10–19 J
Number of photons received with 3.15 × 10–18 J energy
3.15×10−18J3.313×10−19J=9.5≈10
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