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A concave spherical mirror has a radius of curvature of 9.00 cm . part b) Calcul

ID: 1446453 • Letter: A

Question

A concave spherical mirror has a radius of curvature of 9.00 cm .

part b) Calculate the size of the image formed by an 9.00 mm -tall object whose distance from the mirror is 18.0 cm .

part d) Calculate the size of the image formed by an 9.00 mm -tall object whose distance from the mirror is 9.00 cm .

part e) Calculate the location of the image formed by an 9.00 mm -tall object whose distance from the mirror is 2.25 cm .

part g) Calculate the location of the image formed by an 9.00 mm -tall object whose distance from the mirror is 10.0 m .

Explanation / Answer

focal length of concave mirror, f = +9cm

b) using mirror equation,

1/f = 1/di + 1/do

1/9 = 1/di + 1/18

di = 18 cm

m = -(di/d0) = hi/ ho

- (18/18) = hi / 9mm

hi = - 9mm

so size of image is 9mm. (inverted)

d) when d0 = 9cm

di = infinite

so image will be infinitly large.


e) 1/9 = 1/di + 1/2.25

di = -3 cm

hi / 9mm = - (-3/2.25)

hi = 12 mm


f) 1/9 = 1/di + 1/10

di = 90 cm


hi / 9mm = -90 /10

hi = - 81 mm


size of image = 81 mm (inverted)

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