Answer:
![\huge{4.969 * {10}^( - 19) \:J }](https://img.qammunity.org/2023/formulas/chemistry/college/ukschvlv9bem6g6215wddzc3j2leu0d28a.png)
Step-by-step explanation:
The energy of the purple lamp 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 = 7.5 * 10^14 \: Hz](https://img.qammunity.org/2023/formulas/chemistry/college/qiih3o7k16fadlrghuht78tsq4n207r9cp.png)
We have.
![E = 6.626 * 10^(-34) * 7.5 * 10^(14)](https://img.qammunity.org/2023/formulas/chemistry/college/ewwajrqvswb5bc0t68z23mluzcoztlj1el.png)
We have the final answer as
![4.969 * {10}^( - 19) \: J](https://img.qammunity.org/2023/formulas/chemistry/college/cjyk3idozy2vmfycu0puu4855eawm5v3tj.png)