Answer: frequency is 8.57 ·10^14 Hz
Explanation: lambda = 3500 A = 0,000 000 350 m
Wave number is 1/ lambda = 2857142.857 1/m
Wave equation c = frequency · lambda and f = c / lambda
Frequency = 300 000 000 m/s / 0,000 000350 m
The wavelength number is [tex]2.85\times 10^{6}\ m^{-1}[/tex] and the frequency is [tex]8.57\times 10^{14}\ Hz[/tex].
Explanation:
Given that,
The wavelength of violet radiation,
[tex]\lambda=3500\ A\\\\=3500\times 10^{-10}\ m\\\\=3.5\times 10^{-7}\ m[/tex]
To find,
The wave number and frequency of violet radiation.
Solution,
Wavelength, [tex]\lambda=3.5\times 10^{-7}\ m[/tex]
Wave number is the reciprocal of the wavelength,
[tex]\overline{\lambda}=\dfrac{1}{\lambda}[/tex]
Put all the values,
[tex]\overline{\lambda}=\dfrac{1}{3.5\times 10^{-7}}\\\\\overline{\lambda}=2.85\times 10^{6}\ m^{-1}[/tex]
The relation between the wavelength, frequency and speed of wave is given by :
[tex]f=\dfrac{c}{\lambda}[/tex]
Where
c is the speed of light
Put all the values,
[tex]f=\dfrac{3\times 10^8}{3.5\times 10^{-7}}\\\\f=8.57\times 10^{14}\ Hz[/tex]
So, the wavelength number is [tex]2.85\times 10^{6}\ m^{-1}[/tex] and the frequency is [tex]8.57\times 10^{14}\ Hz[/tex].
Reference,
https://brainly.com/question/22721527
