Answer: The wavelength of yellow light with the energy of
is
.
Step-by-step explanation:
Given: Energy =
![3.45 * 10^(-19) J](https://img.qammunity.org/2022/formulas/chemistry/college/kx90i7vfpq06fwblsu2zcy6vuixkkgem6d.png)
Formula used to calculate the wavelength is as follows.
![E = (hc)/(\lambda)](https://img.qammunity.org/2022/formulas/physics/college/6euqix5hqnyz1k1f5e1aevhxxs3tvumnc5.png)
where,
E = energy
h = Planck's constant =
![6.63 * 10^(-34) Js](https://img.qammunity.org/2022/formulas/chemistry/college/wjvvvqfcvme6yxbgzn4frl9fxoion63n9r.png)
c = speed of light =
![3 * 10^(8) m/s](https://img.qammunity.org/2022/formulas/chemistry/college/rax5ac8x01b4shrogkevbew36fwg1u6gzq.png)
= wavelength
Substitute the values into above formula as follows.
![E = (hc)/(\lambda)\\3.45 * 10^(-19) J = (6.63 * 10^(-34) Js * 3 * 10^(8) m/s)/(\lambda)\\\lambda = 5.76 * 10^(-7) m](https://img.qammunity.org/2022/formulas/chemistry/college/cki0cawjn7l1rhk32qbep3gro0gpslbxp0.png)
Thus, we can conclude that the wavelength of yellow light with the energy of
is
.