Question

Determine the wavelength of light having energy of 2.25 × 10−19 j.

Answer 1

`8.84\cdot 10^(-7) m`

Step-by-step explanation:

The energy a single photon of an electromagnetic wave is given by

`E=(hc)/(\lambda)`

where

h is the Planck constant

c is the speed of light

`\lambda` is the wavelength of the photon

In this problem, we have

`E=2.25\cdot 10^(-19) J` is the energy of the photon

So we can re-arrange the equation to find the wavelength:

`\lambda=(hc)/(E)=((6.63\cdot 10^(-34)Js)(3\cdot 10^8 m/s))/(2.25\cdot 10^(-19) J)=8.84\cdot 10^(-7) m`