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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:

掳

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

A double-convex thin lens has surfaces with equal radii of curvature of magnitude 2.50cm . Using this lens, you observe that it forms an image of a very distant tree at a distance of 1.87cm from the lens. What is the index of refraction of the lens?

A candle4.85cm tall is39.2cm to the left of a plane mirror. Where is the image formed by the mirror, and what is the height of this image?

An object is 16.0 cm to the left of a lens. The lens forms an image 36.0 cm to the right of the lens. (a) What is the focal length of the lens? Is the lens converging or diverging? (b) If the object is 8.0 mm tall, how tall is the image? Is it erect or inverted? (c) Draw a principal-ray diagram.

You are in your car driving on a highway at 25m/swhen you glance in the passenger-side mirror (a convex mirror with radius of curvature 150 cm) and notice a truck approaching. If the image of the truck is approaching the vertex of the mirror at a speed of 1.9 m/swhen the truck is 2.0 m/sfrom the mirror, what is the speed of the truck relative to the highway?

(a) Prove that when two thin lenses with focal lengths f1and f2are placed in contact, the focal length 茠 of the combination is given by the relationship 1f=1f1+1f2 (b) A converging meniscus lens (see Fig. 34.32a) has an index of refraction of 1.55 and radii of curvature for its surfaces of magnitudes 4.50 cm and 9.00 cm. The concave surface is placed upward and filled with carbon tetrachloride (CCI4), which has n = 1.46. What is the focal length of the CCI4-glass combination?
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