What is the wavelength of light with 2.89 x 10-19 J of energy? (The speed of
light in a vacuum is 3.00 x 108 m/s, and Planck's constant is 6.626 x 10-34
Jos.)
A. 688 nm
B. 1450 nm
C. 764 nm
D. 1310 nm

Respuesta :

Let's see

[tex]\\ \rm\rightarrowtail E=hv[/tex]

[tex]\\ \rm\rightarrowtail E=\dfrac{hc}{\lambda}[/tex]

  • lambda is wavelength
  • h is Planck constant
  • c is velocity of sound in air
  • E in energy

[tex]\\ \rm\rightarrowtail \lambda=\dfrac{hc}{E}[/tex]

[tex]\\ \rm\rightarrowtail \lambda=\dfrac{6.626\times 10^{-34}\times 3\times 10^8}{2.89\times 10^{-19}}[/tex]

[tex]\\ \rm\rightarrowtail \lambda=6.878\times 10^{-7}m[/tex]

[tex]\\ \rm\rightarrowtail \lambda=68.8\mu m[/tex]