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Chapter 5: Q44P (page 1107)

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 isdeep, how far is the key from the edge of the pool?

Short Answer

Expert verified

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

Step by step solution

01

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.

02

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

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Most popular questions from this chapter

Coherent light with wavelength λfalls on two narrow slits separated by a distance d. If dis less than some minimum value, no dark fringes are observed. Explain. In terms of λ, what is this minimum value of d?

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