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A convex spherical mirror has a radius of curvature of 11.0 cm . a. Calculate th

ID: 1465303 • Letter: A

Question

A convex spherical mirror has a radius of curvature of 11.0 cm .

a. Calculate the location of the image formed by an 7.85-mm-tall object whose distance from the mirror is 16.0 cm .

b. Calculate the location of the image formed by an 7.85-mm-tall object whose distance from the mirror is 10.0 cm .

c. Calculate the location of the image formed by an 7.85-mm-tall object whose distance from the mirror is 2.30 cm .

d. Calculate the location of the image formed by an 7.85-mm-tall object whose distance from the mirror is 9.80 m .

Explanation / Answer

A. Object distance , S = 16 cm ,Radius of curvature ,R= - 11 cm

from the relation , 1/S + 1/S' = 2/R

1/16 + 1/S' = -2/11

S ' = -4.09 cm

B.

image distance , 1/S' = -(2/11)-(1/10)

S' = -3.548 cm

C.

1/S' = -(2/11) - (1/2.30)

S' = -1.62 cm

D. 1/ S' = -2/11 -1/9.80

S' = - 3.5228 cm