Question

What is the wavelength of a photon with an energy of 3.38 x 10-19 J?

Answer 1

C. 588

I just did the test

Answer 2

Answer:

C. 588 nm

Explanation:

Given parameters:

Energy of the photon  = 3.38 x 10⁻¹⁹J

Unknown:

Wavelength of the photon   = ?

Solution:

The energy of a photon can be expressed as;

     E = $\frac{hc}{wavelength}$

    hc  = E x wavelength

     Wavelength  = $\frac{hc }{E}$  

  h is the Planck's constant = 6.63 x 10⁻³⁴m²kg/s

  c is the speed of light  = 3 x 10⁸m/s

  E is the energy  

   Wavelength = $\frac{6.63 x 10^{-34} x 3 x 10^{8} }{3.38 x 10^{-19} }$    = 5.89 x 10⁻⁷m