Light of wavelength 692 nm in air passes into window glass with an index of refraction of \(1.52 .\) (a) What is the wavelength of the light inside the glass? (b) What is the frequency of the light inside the glass?

\(Speed\_of\_light\_in\_glass ≈ 1.97\times10^8 m/s\) #tag_title#Step 2: Calculate the wavelength of light in the window glass.#tag_content#Now that we have the speed of light in the window glass, we can find the wavelength of the light inside the glass using the formula: \(Wavelength\_in\_glass = \frac{Wavelength\_in\_air}{Index\_of\_Refraction}\) Using the given wavelength in air (692 nm) and the index of refraction (1.52), we can calculate the wavelength of the light in the window glass: \(Wavelength\_in\_glass = \frac{692 nm}{1.52}\) \(Wavelength\_in\_glass ≈ 455 nm\) #tag_title#Step 3: Calculate the frequency of light in the window glass.#tag_content#Finally, we can find the frequency of the light using the formula: \(Frequency = \frac{Speed\_of\_light\_in\_glass}{Wavelength\_in\_glass}\) Using the speed of light in the window glass (1.97 x 10^8 m/s) and the wavelength in the window glass (455 nm), we can find the frequency of the light: \(Frequency = \frac{1.97\times10^8 m/s}{455\times10^{-9} m}\) \(Frequency ≈ 4.33\times10^{14} Hz\) Therefore, the wavelength and frequency of light inside the window glass are 455 nm and 4.33 x 10^14 Hz, respectively.