Answer:
The answer is
![\huge 4.088 * {10}^( - 19) \:J](https://img.qammunity.org/2021/formulas/chemistry/high-school/pe096kxee5v17e5zvhi1fp52sursz6354i.png)
Step-by-step explanation:
The energy of a photon of light can be found by using the formula
E = hf
where
E is the energy
f is the frequency
h is the Planck's constant which is
6.626 × 10-³⁴ Js
From the question
f = 6.17 × 10¹⁴ Hz
We have
E = 6.17 × 10¹⁴ × 6.626 × 10-³⁴
We have the final answer as
![4.088 * {10}^( - 19) \: \: J](https://img.qammunity.org/2021/formulas/chemistry/high-school/f8u73erx5igxg8h19yzo9gdxs9xgkor7pw.png)
Hope this helps you