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An object is 10. cm from the mirror, its height is 3.0 cm, and the focal length is 2.0 cm. What is the image height? (Indicate the object orientation by including the + or - sign with the answer.)

hi = _____ cm

+1.33
-1.33
+0.75
-0.75

User Valorad
by
4.4k points

2 Answers

5 votes

Answer:

-0.75

Step-by-step explanation:

User Niraj Chauhan
by
5.4k points
3 votes

As we know by mirror formula we have


(1)/(d_i) + (1)/(d_o) = (1)/(f)

here we know that


d_o = 10 cm


f = 2 cm

now from above equation


(1)/(10) + (1)/(d_i) = (1)/(2)

here we will have


d_i = 2.5 cm

now for size of image we know that


(h_i)/(h_o) = -(d_i)/(d_o)

here we will have


h_i = -3 * (2.5)/(10)


h_i = -0.75 cm

User Motam
by
4.3k points