A 100 W sodium lamp radiates energy uniformly in all directions. The lamp is located at the centre of a large sphere that absorbs all the sodium light which is incident on it. The wavelength of the sodium light is 589 nm . At what rate are the photons associated with the sodium light?

Question

A 100 W sodium lamp radiates energy uniformly in all directions. The lamp is located at the centre of a large sphere that absorbs all the sodium light which is incident on it. The wavelength of the sodium light is 589 nm . At what rate are the photons associated with the sodium light?, 3 × 10 20 photon s - 1 are delivered, 2 × 10 20 photon s - 1 are delivered, 1 × 10 20 photon s - 1 are delivered, 4 × 10 20 photon s - 1 are delivered

MARKS App · Accepted Answer

Given, power of lamp, p = 100 W The wavelength of the sodium light, λ = 5 8 9 nm = 589 × 10 - 9 m Planck constant h = 6 . 63 × 10 - 34 J s Let n photons are delivered per second. ∴ n = Power Energy of each photon (From P = En) = 1 0 0 3 . 3 8 × 1 0 - 1 9 = 3 × 1 0 2 0 photon s - 1 = 3 × 10 20 photon s - 1 are delivered.

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