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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 - CBSE (Science) Class 11 - Chemistry

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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

Solution

From the expression of energy of one photon (E),

`E = "hc"/lambda`

λ = wavelength of radiation

h = Planck’s constant

c = velocity of radiation

Substituting the values in the given expression of E:

`E = ((6.626 xx 10^(-34) Js)(3xx10^(8) ms^(-1)))/((600xx10^(-9) m))`

Energy of one photon = 3.313 × 10–19 J

Number of photons received with 3.15 × 10–18 J energy

`= (3.15 xx 10^(-18)J)/(3.313 xx 10^(-19)J)`

= 9.5

`~~10`

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Solution 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 Concept: Particle Nature of Electromagnetic Radiation: Planck'S Quantum Theory.
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