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Chapter 34: Q. 9 (page 990)

It is 165cmfrom your eyes to your toes. You're standing200cm in front of a tall mirror. How far is it from your eyes to the image of your toes?

Short Answer

Expert verified

Distance from eyes to the image of toes,d=433mm

Step by step solution

01

Explanation by image

The incident and reflected rays are within the same plane and parallel to the surface.

The angle of incidence and reflection are the identical.θi=θr

02

Find Distance using given values

165cm separates your eyes from your toes.

There is 200cm between you and the mirror.

FIGURE shows a one ray from a human toes reflecting from the mirror to the person's eyes. the reflected travels along a line that passes through a degree on the backside of the mirror, according the law of reflection, θi=θrtherefore, the space between the person's toe and therefore the mirror is that the same because the distance between the mirror and also the toe's image behind the mirror

Using Pythagorean theorem,

d=(165cm)2+(400cm)2

d=433cm

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The meter stick in FIGURE P34.48 lies on the bottom of a 100-cm long tank with its zero mark against the left edge. You look into the tank at a 30° angle, with your line of sight just grazing the upper left edge of the tank. What mark do you see on the meter stick if the tank is (a) empty, (b) half full of water, and (c) completely full of water?

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a Use ray tracing to find the position and height of the image. To do this accurately, use a ruler or paper with a grid. Determine the image distance and image height by making measurements on your diagram.
bCalculate the image position and height. Compare with your ray-tracing answers in part a.

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