PHYSICS Ray Diagrams

Question

I have a few problems to solve about ray diagrams:

PART 1:

A certain concave, spherical mirror has a focal length of 53.0 cm. If the object is 42 cm high and is situated 155 cm in front of the concave mirror, determine the following using the mirror and magnification equations:

(a) Image distance

(b) Magnification of the image

(c) Is the image real or virtual, upright or inverted, larger or smaller.

PART 2:

A certain convex, spherical mirror has a focal length of 82.0 cm. If the object is 47 cm high and is situated 140 cm in front of the concave mirror, determine the following using the mirror and magnification equations:

(a) Image distance

(b) Magnification of the image

(c) Is the image real or virtual, upright or inverted, larger or smaller.

PART 3:

A certain converging lens has a focal length of 42.0 cm. If the object is 48 cm high and is situated 137 cm in front of the converging lens, determine the following using the mirror and magnification equations:

(a) Image distance

(b) Magnification of the image

(c) Is the image real or virtual, upright or inverted, larger or smaller.

PART 4:

A certain diverging lens has a focal length of 58.0 cm. If the object is 44 cm high and is situated 93 cm in front of the diverging lens, determine the following using the mirror and magnification equations:

(a) Image distance

(b) Magnification of the image

(c) Is the image real or virtual, upright or inverted, larger or smaller.

Thank you so much in advance.

Answer 1

Hi Sena,

This topic is tough to explain over text since the theory requires active drawing. However, the answers to your questions only require a simple formula called the lens formula.

This page explains how to use it for lenses: http://hyperphysics.phy-astr.gsu.edu/hbase/geoopt/lenseq.html

This page explains it for mirrors: http://hyperphysics.phy-astr.gsu.edu/hbase/geoopt/mireq.html