Monochromatic light of frequency \(6.0\times 10^{14}Hz\) is produced by a laser. The power emitted is \(2.0\times 10^{-3}W\)

(a) What is the energy of a photon in the light beam?

(b) How many photons per second, on an average, are emitted by the source?

(a) What is the energy of a photon in the light beam?

(b) How many photons per second, on an average, are emitted by the source?

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Monochromatic light of frequency \(6.0\times 10^{14}Hz\) is produced by a laser. The power emitted is \(2.0\times 10^{-3}W\)

(a) What is the energy of a photon in the light beam?

(b) How many photons per second, on an average, are emitted by the source?

(a) What is the energy of a photon in the light beam?

(b) How many photons per second, on an average, are emitted by the source?

(a) Frequency of monochromatic light, \(v=6.0\times 10^{14}Hz\)

Energy of a photon is given by;

\(E=\mathit{hv}\)

\(=6.62\times 10^{-34}\times 6.0\times 10^{14}\)

\(=3.98\times 10^{-19}\)

(b) Consider the number of photons emitted per second to be, \(N\).

And power emitted is, . \(P=2.0\times 10^{-3}\) \(W\)

Power transmitted in the beam equals times the energy per photon;

\(P=\mathit{NE}\)

\(N=\frac P E\)

\(N=\frac{2.0\times 10^{-3}}{3.98\times 10^{-19}}=5.0\times 10^{15}\) photons per second

Energy of a photon is given by;

\(E=\mathit{hv}\)

\(=6.62\times 10^{-34}\times 6.0\times 10^{14}\)

\(=3.98\times 10^{-19}\)

(b) Consider the number of photons emitted per second to be, \(N\).

And power emitted is, . \(P=2.0\times 10^{-3}\) \(W\)

Power transmitted in the beam equals times the energy per photon;

\(P=\mathit{NE}\)

\(N=\frac P E\)

\(N=\frac{2.0\times 10^{-3}}{3.98\times 10^{-19}}=5.0\times 10^{15}\) photons per second

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