An atom emits a photon of wavelength 1.08 meters. What is the energy change occurring in the atom due to this emission? (Planck's constant is 6.626 × 10-34 joule seconds, the speed of light is 2.998 × 108 m/s)

Respuesta :

The answer is 1.84×10^(-25).

Answer : The energy change occurring in the atom due to this emission is, [tex]18.38\times 10^{-26}J[/tex]

Solution :

Formula used :

[tex]\Delta E=\frac{h\times c}{\lambda}[/tex]

where,

[tex]\Delta E[/tex] = change in energy of photon = ?

h = Planck's constant = [tex]6.626\times 10^{-34}Js[/tex]

c = speed of light = [tex]2.998\times 10^8m/s[/tex]

[tex]\lambda[/tex] = wavelength = 1.08 m

Now put all the given values in the above formula, we get the energy of the photons.

[tex]\Delta E=\frac{(6.626\times 10^{-34}Js)\times (2.998\times 10^8m/s)}{1.08m}[/tex]

[tex]\Delta E=18.39\times 10^{-26}J[/tex]

Therefore, the energy change occurring in the atom due to this emission is, [tex]18.38\times 10^{-26}J[/tex]