A 100 W sodium lamp radiates energy uniformly in all directions.

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asked Jan 8, 2018 in Physics by sforrest072 (157,439 points) 61 410 947

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. (a) What is the energy per photon associated with the sodium light? (b) At what rate are the photons delivered to the sphere?

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answered Jan 8, 2018 by mdsamim (213,225 points) 5 10 15
selected Jan 8, 2018 by sforrest072
 
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Power of the sodium lamp, P = 100 W
Wavelength of the emitted sodium light, λ = 589 nm = 589 × 10−9 m
Planck’s constant, h = 6.626 × 10−34 Js
Speed of light, c = 3 × 108 m/s
(a) The energy per photon associated with the sodium light is given as:

(b) Number of photons delivered to the sphere = n. The equation for power can be written as:

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