# Physics

posted by .

A light source, S, is located 2.9 m below the surface of a swimming pool and 1.7 m from one edge of the pool. The pool is filled to the top with water. At what angle does the light reaching the edge of the pool leave the water?

• Physics -

First you need to look up the index or refraction for air and water, the two materials in which the light will travel and refract.

Air has a refractive index of N2 = 1.0003, and water has a refractive index of N1 = 1.333. I use index 2 for air because it is the second medium the light passes through; water is the first.

The angle of incidence A1 for the light beam in the water is tan^-1 1.7/2.9 = tan^-1 0.5862 = 30.37 degrees.

The last step is to use Snell's law:
N1 sin A1 = N2 sin A2

Solve for the angle of refraction, A2

Sin A2 = 0.5057*(1.333/1.0003)= 0.6739
A2 = ?

## Similar Questions

1. ### physics

In searching the bottom of a pool at night, a watchman shines a narrow beam of light from his flashlight, 1.3 m above the water level, onto the surface of the water at a point 2.7m from the edge of the pool. Where does the spot of …
2. ### Math;Pre-Algebra

My cousin Robert was pushed into a pool. The pool was 6 feet Wide and 10 feet deep. The pool had soft walls. How did my Cousin Robert Emerge from the pool?
3. ### Math

My cousin Robert was pushed into a pool. The pool was 6 feet Wide and 10 feet deep. The pool had soft walls. How did my Cousin Robert Emerge from the pool?
4. ### math

a certain company makes inflatable swimming pools that come in four rectangular sizes.the length of each pool is twice the width and twice the depth.the pools are 1 foot ,2 feet,3 feet and 4 feet deep.what is the area of the surface …
5. ### maths

A swimming pool has two identical sides in the shape of a trapezium. All other sides are rectangular. The length of the pool is 12m. The width of the pool is 4m. The depth of the pool is 2.1m at the deep end and 1.1m at the shallow …
6. ### Physics

A swimming pool filled with water to its edge, the depth of the water is 2m and an electric lamp is placed at a distance equals 8m from the edge of the pool over a column its height 6m. Calculate the length of non-apparent part from …
7. ### Math

A swimming pool is in the shape of a cuboid with dimensions 50 metres long by 25 metros wide by 2.5 metres deep. If the pool is completely filled with water, calculate a) the volume of water in the pool b) the longest straight distance …
8. ### physics

An Olympic pool has dimensions 50.0 m × 25.0 m × 2.68 m (length × width × depth). The density of the pool water is 1007 kgm-3. Atmospheric pressure (1.00 atm) is acting on the surface of the water. If a child dives down to the …
9. ### MATH

A women is taking a lesson in a circular swimming pool. she starts at one edge of the pool and swims for 12 meters in a straight line till hits the edge of the pool. she turns and swims another 5 meters and again hits the edge of the …
10. ### Physics

You are lying on the bottom of a swimming pool filled 15 ft deep with water (ftwater = 1.33). What is the diameter of the "hole” at the water surface through which you can see out of the pool?

More Similar Questions