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

Verified Answer :

Answer : The correct option is, \(8.988\times 10^{-26}joules\)

Solution :

Formula used :

\(E=\frac{h\times c}{\lambda}\)

where,

E = change in energy

h = Planck’s constant = \(6.626\times 10^{-34}J/s\)

c = speed of light = \(2.998\times 10^{8}m/s\)

\(\lambda\) = wavelength = 2.21 m

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

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

\(E=8.988\times 10^{-26}joules\)

Therefore, the energy of an atom is, \(8.988\times 10^{-26}joules\)