Q44P

Question

After a long day of driving you take a late-night swim in a motel swimming pool. When you go to your room, you realise that you have lost your room key in the pool. You borrow a powerful flashlight and walk around the pool, shining the light into it. The light shines on the key, which is lying on the bottom of the pool, when the flashlight is held  above the water surface and is directed at the surface a horizontal distance of  from the edge (Fig. P33.44). If the water here is  deep, how far is the key from the edge of the pool?

Step-by-Step Solution

Verified
Answer

 The total length from the edge of the poll is 4.4m

1Step 1: About Snell's law

Snell's law, in optics, a relationship between the path taken by a ray of light in crossing the boundary or surface of separation between two contacting substances and the refractive index of each.

2Step 2: Determine the total length from the edge of the poll

As We know, index of refraction of air is equal to I and that of water is 1-33- We can get the 00 using the given dimensions. Use

the Snell's Law to get the 01,-

Value of 0a:

°

 Use the Snell's Law:

 

Now in triangle ABC we have

BC

 

 The total length from the edge of the pool will be:

therefore the total length from the edge of the poll is 4.4m