contestada

What is the wavelength, in nm, of radiation which has an energy if 3.371 x 10^-19 joules per photon?

A) 655.9nm
B)152.5nm
C)170.0nm
D) 589.3nm
E)745.1nm
Explain please

Respuesta :

Answer:

The correct option is:

D) 589.3 nm

Explanation:

Energy of one photon = [tex]3.371\times10^{-19}J[/tex]

[tex]Energy=\frac{hc}{\lambda}\\\\h=Planck's\:constant=6.626\times10^{-34}J/s\\c=speed\:of\:light=3\times10^{8}m/s\\\lambda=wavelength\:of\:radiation\\\\\lambda=\frac{hc}{Energy}=\frac{6.626\times10^{-34}\times3\times10^{8}}{3.371\times10^{-19}}=5.897\times10^{-7}m=589.7nm\\[/tex]

Hence, the wavelength (in nm) of radiation is 589.7nm (approximately equal to 589.3nm)