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1) An object 1.0 cm tall is placedd 6 cm in front of a spherical concave mirror

ID: 1306094 • Letter: 1

Question

1) An object 1.0 cm tall is placedd 6 cm in front of a spherical concave mirror with a radius of curvature equal to 10.0 cm. Calculate the image distance and height by using (a) a ray trace diagram and (b) the mirror equations.

2) The radius of the curvature of a spherical concave mirror is 15 cm. Describe the image formed when a 10-cm-tall object is positiond (a) 5 cm from the mirror, (b) 20 cm from the mirror, (c) 100 cm from the mirrir. For each case five the image distance, the image hieght, the type of image (real or virtual), and the orientation of the image (upright or inverted)

3) a car's convex rearview mirror has a radius of curvature equal to 15cm. What are the magnification, type and location of the image that is formed by an object that is 10 m from the mirror.

Explanation / Answer


1) R= +10 cm


1/S + 1/S' = 2/R


1/6 + 1/S' = 2/10


S' = 30 cm


hi / ho = -S'/S

hi = (-30*1)/6 = 5cm.......upright, real


2) 1/S + 1/S' = 2/R

1/5 + 1/S" = 2/15

S' = -15 cm

b) 1/20 + 1/S' = 2/15

S' = 12 cm


c) 1/100 + 1/S'= 2/15


S' = 8.1 cm

3) 1/10 + 1/S' = 2/15


S' = 30 cm

S' is positve image is real.......S'>S...the image is enlarged.........