To find the new frequency of the light, we can use the formula that relates the speed of light (c) to its wavelength (λ) and frequency (f):
c = λ * f
where: c = speed of light in a vacuum = 3.00 x 10^8 m/s (approximately) λ = wavelength of the light f = frequency of the light
Given that the wavelength of the light changes to 3.0 x 10^-7 m, we can plug this value into the equation and solve for the frequency (f):
3.00 x 10^8 m/s = (3.0 x 10^-7 m) * f
To find f, divide both sides of the equation by the wavelength:
f = (3.00 x 10^8 m/s) / (3.0 x 10^-7 m)
f ≈ 1.00 x 10^15 Hz
The new frequency of the light is approximately 1.00 x 10^15 hertz (Hz).
As for the type of electromagnetic wave, with a wavelength of 3.0 x 10^-7 m and a frequency of 1.00 x 10^15 Hz, this light falls within the visible light spectrum. Visible light is the range of electromagnetic radiation that can be detected by the human eye, and it includes all the colors we see in the rainbow, from violet (shorter wavelength, higher frequency) to red (longer wavelength, lower frequency).