A discharge lamp rated at 25 W (1 W = 1 J/s) emits yellow light of wavelength 580 nm. How many photons of yellow light does the lamp generate in 1.0 s?

Answer :

sitiadriani

Answer:

the number of photons of yellow light does the lamp generate in 1.0 s is 7 x [tex]10^{19}[/tex]

Explanation:

given information:

power, P = 25 W

wavelength. λ - 580 nm = 5.80 x [tex]10^{-7}[/tex] m

time, t = 1 s

to calculate the number of photon(N), we use the following equation

N = λPt/hc

where

λ = wavelength (m)

P = power (W)

t = time interval (s)

h = Planck's constant (6.23 x [tex]10^{-34}[/tex] Js)

c = light's velocity (3 x [tex]10^{8} m/s^{2}[/tex])

So,

N = λPt/hc

   = (5.80 x [tex]10^{-7}[/tex])(25)(1)/(6.23 x [tex]10^{-34}[/tex])(3 x [tex]10^{8} m/s^{2}[/tex])

    = 7 x [tex]10^{19}[/tex]

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