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A red ball is placed at point A in FIGUREP34.44.

a. How many images are seen by an observer at point O?

b. What are the (x,y)coordinates of each image?

Short Answer

Expert verified

(a) The three images are seen by an observer at point O.

(b) The coordinates of images are(1.0m,-2.0m),(-1.0m,2.0m)and(1.0m,2.0m).

Step by step solution

01

Part(a) Step 1: Given information

We have been given that a red ball is placed at point A inFIGUREP34.44.

We need to find the number of images seen by an observer at point O.

02

Part(a) Step 2: Simplify

In the figure given below, we can observe that the observer at point O can see three images.

Image I1is formed by the reflection by mirror 1and image I2is formed by the reflection from mirror 2.

But the image I3is formed by the reflection by two mirrors, first the ray is reflected by mirror 1and then reflected by mirror 2.

03

Part(b) Step 1: Given information

We have been given that a red ball is placed at a point A in FIGUREP34.44.

We need to find the(x,y)coordinates of each image seen by an observer at point O.

04

Part(b) Step 2: Simplify

By labelling the image drawn in Part(a),

We can observe that the image I1of a ball is at (1.0m,-2.0m)in mirror 1(Green rays).

The image I2of a ball is at (-1.0m,2.0m)in mirror 2(Red rays).

The image I3of I1in mirror 2or we can say, the image of I2in mirror 1is at (1.0m,2.0m)depicted by black rays.

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