A concave spherical mirror has a radius of curvature of 10.0 cm . Part A) Calcul

Question

A concave spherical mirror has a radius of curvature of 10.0 cm .

Part A) Calculate the location of the image formed by an 12.0 mm -tall object whose distance from the mirror is 20.0 cm .

Part B) Calculate the location of the image formed by an 12.0 mm -tall object whose distance from the mirror is 10.0 cm .

Part C) Calculate the location of the image formed by an 12.0 mm -tall object whose distance from the mirror is 2.50 cm .

Part D) Calculate the location of the image formed by an 12.0 mm -tall object whose distance from the mirror is 10.0 m .

Explanation / Answer

For a concave mirror, Both R and f are positive

f = R/2

f = 10/2 = 5.00 cm

a)

1/q = 1/f – 1/p

1/q = 1/5 – 1/20

q = 6.67 cm

b)

1/q = 1/f – 1/p

1/q = 1/5 – 1/10

q = 10 cm

c)

1/q = 1/f – 1/p

1/q = 1/5 – 1/2.5

q = -5 cm (virtual image)

d)

1/q = 1/f – 1/p

1/q = 1/5 – 1/1000

q = 5.025 cm

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