Solved: A concave mirror is to form an image of the

Chapter 34, Problem 73P

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QUESTION:

Problem 73P

A concave mirror is to form an image of the filament of a headlight lamp on a screen 8.00 m from the mirror. The filament is 6.00 mm tall, and the image is to be 24.0 cm tall. (a) How far in front of the vertex of the mirror should the filament be placed? (b) What should be the radius of curvature of the mirror?

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QUESTION:

Problem 73P

A concave mirror is to form an image of the filament of a headlight lamp on a screen 8.00 m from the mirror. The filament is 6.00 mm tall, and the image is to be 24.0 cm tall. (a) How far in front of the vertex of the mirror should the filament be placed? (b) What should be the radius of curvature of the mirror?

ANSWER:

Solution 73P

Step 1

(a)

Express the relation for Lateral magnification for plane mirror.

 ……… (1)

Here, m is the lateral magnification, is the height of the image, and y is the object height.

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