Answer to Question #191439 in Optics for Melissa

Question

Show all the solutions and support your answers.

1. An object is located 10 cm from a lens of focal length 12 cm.

                 a) Solve for the image distance

                

 

 

 

 

                 b) Solve for the magnification

                 

 

 

 

 

                  c) Is the image real or virtual?

 

 

 

 

                   d) Is the image reduced or enlarged?

 

Answer 1

a) $\frac{1}{f} =\frac{1}{v}-\frac{1}{u}$

$\frac{1}{12} = \frac{1}{v}-\frac{-1}{10}$

$\frac{1}{v} = \frac{5-6}{60}$

${v} = -60$ cm

b) $M=\frac{v}{u} = \frac{-60}{-10} = 6$

c) The image is placed futher than focal point, so it is virtual.

d) The image is enlarger as M > 1.