1. A truck carrying cooking oil and glass crashes into a pond creating a 2cm thick layer of oil with index of refraction

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1. A truck carrying cooking oil and glass crashes into a pond
creating a 2cm thick layer of oil with index of refraction 1.47 on
top of the water with index of refraction 1.33. At the bottom of
the 10m pond is a 3.5cm thick pane of glass with index of
refraction 1.52. A police officer investigating the scene shines a
red light with a vacuum wavelength 650nm onto the layer of oil;
this light ray makes an angle of 32◦ with respect to the normal
vector. Assume the boundaries of each substance are horizontal and
thus parallel to one another.
(a) What is the angle of reflection and refraction this light
ray makes when it strikes the boundary between the air and oil?
(b) What is the angle of reflection and refraction this light
ray makes when it strikes the boundary between the oil and
water?
(c) What is the angle of reflection and refraction this light
ray makes when it strikes the boundary between the oil and air?
(The light ray reflected off of the water will again strike the
interface between the air and oil this time passing from the oil
into the air.)
(d) What is the angle of reflection and refraction this light
ray makes when it strikes the boundary between water and glass?
(e) What is the angle of reflection and refraction this light
ray makes when it strikes the boundary between water and oil?
(f) What is the frequency, wavelength, and speed of the light
ray in each substance, air, oil, water, and glass?