calculate the energy and wavelength of a photon of light with a frequency of 7.5x10/14 hz

The velocity of the wave, the frequency, and the wavelength is related by the formula: \(v = f\lambda\).

We substitute v = (speed of light) = c, f = \(7.5\cdot 10^{14}\).

 

\(3\cdot 10^8 = 7.5\cdot10^{14} \cdot \lambda\\ \lambda = 4 \cdot 10^{-7}\text{ m}\)

 

Then, we use Einstein's equation \(E = hf\) to find the energy of the photon.

\(E = 6.6262\cdot 10^{-34}\cdot 7.5\cdot 10^{14}\\ E = 4.96965 \cdot 10^{-19} J\)