How much energy (in eV)does a photon of 500-nm light have? (h = 6.63 × 10−³⁴ J⋅s,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10−¹⁹ J,and 1 nm = 10−⁹ m) A) 1.78 eV B) 2.48 eV C) 1.24 eV D) 3.11 eV

Question

Quizplus · Accepted Answer

The energy of a photon (E) can be calculated using the equation:

E = hc/λ

where h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.

Plugging in the given values:

E = (6.63 x 10^-34 J s)(3.00 x 10^8 m/s)/(500 x 10^-9 m)

E = 3.98 x 10^-19 J

Converting to eV:

E(eV) = (3.98 x 10^-19 J)/(1.60 x 10^-19 J/eV)

E(eV) = 2.48 eV

Therefore, the answer is B.

How Much Energy (In EV)does a Photon of 500-Nm Light