Respuesta :
Answer:
1. The frequency of green light that has a wavelength of the [tex]5.14 \times 10^-^7 m \ is \ 5.83 \times 10^1^4 Hz.[/tex]
2. Wavelength of infrared radiation with frequency [tex]3.85 \times 10^1^2 Hz \ is \ 7.79 \times 10^-^5 m.[/tex]
3. Energy of a photon with frequency [tex]7.85 \times 10^1^5 is \ 5.181 \times 10^-^1^8 J.[/tex]
4. The energy of a photon having a wavelength of [tex]6.08 \times 10^-^7m \ is \ 3.25 \times 10^-^1^9J.[/tex]
5. Wavelength of ultraviolet radiation having [tex]2.94 \times 10^-^8J \ is \ 6.73 \times 10^-^1^8m.[/tex]
Explanation:
The equation connecting wavelength, frequency and speed of electromagnetic radiation is
c=ϑλ
1. λ = [tex]5.14 \times 10^-^7m[/tex]
[tex]c=3 \times 10^8 m/s[/tex]
ϑ = c/λ = [tex]\frac{(3 \times ^8)}{(5.14 \times 10^-^7)} = 5.83 \times 10^1^4 Hz[/tex]
2. ϑ = [tex]3.85 \times 10^1^2 Hz[/tex]
λ= c/ϑ [tex]= \frac{ (3 \times 10^8)}{(3.85 \times 10^1^2 )} = 7.79 \times 10^-^5 m[/tex]
3. E = h ϑ
[tex]= 6.6 \times 10^-^3^4 \times 7.85 \times 10^1^5=5.181 \times 10^-^1^8J[/tex]
4. E= hc/λ
[tex]= \frac{ (6.6 \times 10^-^3^4 \times 3 \times 10^8)}{ (6.08 \times 10^-^7)}[/tex]
[tex]=3.25 \times 10^-^1^9J[/tex]
5. E=[tex]2.94 \times 10^-^8J[/tex]
λ= hc/E
[tex]= \frac{ (6.6 \times 10^-^3^4) \times 3 \times 10^8}{(2.94 \times 10^-^8)}[/tex]
[tex]=6.73 \times 10^-^1^8m[/tex]
