Calculate the change in energy of an atom that emits a photon of wavelength 2.21 meters. (Planck’s constant is 6.626 x 10-34 joule seconds, the speed of light is 2.998 x 108 m/s)
* 8.9886 x10-26 joules
*4.8844 x 10-42 joules second
* 1.9864 x 10-25 joules
* 1.4643 x 10-33 joules /second

Respuesta :

Answer : The correct option is, [tex]8.988\times 10^{-26}joules[/tex]

Solution :

Formula used :

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

where,

E = change in energy

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

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

[tex]\lambda[/tex] = wavelength = 2.21 m

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

[tex]E=\frac{(6.626\times 10^{-34}J/s)\times (2.998\times 10^{8}m/s)}{2.21m}[/tex]

[tex]E=8.988\times 10^{-26}joules[/tex]

Therefore, the energy of an atom is, [tex]8.988\times 10^{-26}joules[/tex]