Please solve 10, 11, 12, 13, 14, and 15 and explains it specificly and fully details.

The Wave Equation 10. The wavelengths of the visible spectrum range from 4.00 x 102 nm to 7.50 x 10 nm. Calculate the range of frequencies of visible light. (7.50 x 1014 Hz to 4.00 x 1014 Hz) 11 . A certain shade of violet has a wavelength of 440 nm in air. If the index of refraction of alcohol relative to air for violet light is 1.40, what is the wavelength of the violet light in alcohol? (3.1 x 10 m) Interference in Thin Films 12. A thin layer of glass (n = 1.50) floats on a transparent liquid (n = 1.35). The glass is illuminated by light with a wavelength of 580 nm, in air. Calculate the minimum thickness of the glass, other than zero, capable of producing destructive interference in the reflected light. (1.9 x 10 m) 13. A thin film of oil (n = 1.18) is on a puddle of water (n = 1.33). If the film has a thickness of 2.40 x 10-7 m, then what colour of light is strongly reflected in the air? (566 nm) 14. A thin vertical soap film (n = 1.40) is seen to reflect blue light with a wavelength of 462 nm. (Air is on either side of the film.) What is the smallest possible thickness of the film at this point? (8.25 x 10-8 m) 15. A loop of wire is dipped into a soap dish and a thin film of soap develops in the loop. The soap film shimmers with all kinds of colours. If the loop is held vertical for more than a few seconds, the film starts to get thicker along the bottom due to the pull of gravity. What colours do you expect to see in the film at the top, compared to the bottom