Question A concave spherical mirror has a radius of curvature of 9.00 cm . 1)Cal

Question

Question A concave spherical mirror has a radius of curvature of 9.00 cm . 1)Calculate the location of the image formed by an 8.00 mm -tall object whose distance from the mirror is 18.0 cm . 2) Calculate the location of the image formed by an 8.00 mm -tall object whose distance from the mirror is 9.00 cm . 3) Calculate the location of the image formed by an 8.00 mm -tall object whose distance from the mirror is 2.25 cm . 4) Calculate the location of the image formed by an 8.00 mm -tall object whose distance from the mirror is 10.0 m .

Explanation / Answer

To work the problems we use mirrors or mirror equation builder

1/f = 1/o + 1/i

1/f= 2/R f = R/2

Part 1)

R =9.0 cm

y = 0.8 cm

o= 18 cm

Calculate i

1/i = 1/f – 1/o

f = 9.0 /2

f = 4.5 cm

1/i = 1/(4.5) – 1/18

1/i = (18-4.5)/ (4.5 18) = 13.5/81

i = 6cm

Part 2)

data

o= 9.0 cm

1/i = 1/(4.5) – 1/9

1/i= (9-4.5)/(4.5 9) = 4.5 / 40,5

i = 9 cm

Part 3)

Data

o = 2.25 cm

1/i = 1/(4.5) – 1/(2.25)

1/i = (2.25 -4.5 )/ (4.5 2.25) = -2.25 / 10.125

i = - 4.5 cm

virtual image

Part 4)

o= 10m = 1000 cm

1/i = 1/(4.5) – 1/1000

1/i = (1000-4.5)/(4.5 1000) = 995.5/4500

i= 4.52 cm

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