Answer: The correct answer is \(f=75\times 10^{13}\) Hz.
Explanation:
The expression of the wavelength in terms of the frequency is as follows;
\(\lambda =\frac{c}{f}\)
Here, c is the speed of the light, f is the frequency of the wave and \(\lambda\) is the wavelength of the wave.
It is given in the problem that a visible violet light emits light with a wavelength of 4.00 × 10-7 m.
Calculate the frequency of the violet light by rearranging the above expression.
\(f=\frac{c}{\lambda }\)
Put \(c=3\times 10^{8} m/s\) and \({\lambda }=4\times 10^{-7}\).
\(f=\frac{3\times 10^{8}}{4\times 10^{-7}}\)
\(f=75\times 10^{13} Hz\)
Therefore, the frequency of the violet light is \(f=75\times 10^{13} Hz\).
