(a) Which has greater energy, a single infrared photon or a single ultraviolet p

Question

(a) Which has greater energy, a single infrared photon or a single ultraviolet photon?

a single infrared photona single ultraviolet photon     

(b) What is the energy of a single infrared photon?
J

What is the energy of a single ultraviolet photon?
J

(c) How many infrared photons are emitted per second?
photons/s

How many ultraviolet photons are emitted per second?
photons/s

A 200-W infrared laser emits photons with a wavelength of 9.10 10-7 m. (a) Which has greater energy, a single infrared photon or a single ultraviolet photon? a single infrared photona single ultraviolet photon (b) What is the energy of a single infrared photon? J What is the energy of a single ultraviolet photon? J (c) How many infrared photons are emitted per second? photons/s How many ultraviolet photons are emitted per second? photons/s 10-7 m, and a 200-W ultraviolet light emits photons with a wavelength of 2.64

Explanation / Answer

The power of the infra laser light P1 = 200W
the wavelength of the laser light ?1 = 9.1*10^-7 m
The power of the ultraviolet light P2 = 200W
the wavelength of the ultraviolet ?2 = 2.64*10^-7 m
(a) The energy of a photon is
E = hc/?
then the energy is inversely proportional to the wavelength
so the ultra violet light produce greater energy.
(b) The energy of a single infrared photon
E1 = hc/?1
= (6.625*10^-34 Js) (3*10^8 m/s) / 9.10*10^-7 m
= 2.184*10^-19 J or 1.37 eV
(c) The energy of a single Ultraviolet photon
E2 = hc/?2
= (6.625*10^-34 Js) (3*10^8 m/s) / 2.64*10^-7 m
= 7.53 *10^-19 J or 4.71 eV
(d) The number of photons emitted per sec
n = 200/2.184*10^-19
= 9.16*10^20 photons/sec
The number of photons emitted per sec
n = 200/1.03*10^-18
= 2.66*10^20 photons/sec

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