A concave spherical mirror has a radius of curvature of 14.0 cm . Part A Calcula

Question

A concave spherical mirror has a radius of curvature of 14.0 cm .

Part A

Calculate the location of the image formed by an 15.0-mm-tall object whose distance from the mirror is 28.0 cm .

9.33

Part B

Calculate the size of the image.

Part C

Calculate the location of the image formed by an 15.0-mm-tall object whose distance from the mirror is 14.0 cm

Part E

Calculate the location of the image formed by an 15.0-mm-tall object whose distance from the mirror is 3.50 cm .

  cm

Part G

Calculate the location of the image formed by an 15.0-mm-tall object whose distance from the mirror is 10.0 m

9.33

Explanation / Answer

the radius of curvature = 14 cm

focal length = 14 / 2 = 7 cm

PART A

1 / f = 1 / v + 1 / u

1 / v = 1 / f - 1 / u

1 / v = 1 /- 7 - 1 / -28

v = -9.3 cm

the image distance is - 9.3 cm

PART B

m = -v / u

m = 9.3 / -28

m = -0.33

then m = h2 / h1

-0.33 *1.5 = h2

h2 = -0.495 cm

the height of the image is - 0.495 cm

PART C

when the object is at distance 14 cm

by using the mirror formula

1 / f = 1 / v + 1 / u

1/ v = 1 / f - 1 / u

1 / v = 1 / -7 - 1 / -14

v = -14 cm

the image distance is -14 cm

PART E

here also we use the same formula

1 / v = 1 / -7 - 1 / -3.5

v = 7 cm

the image distance is 7 cm

PART G

here also we use the same formula

1 / v = 1 / -7 - 1 / -1000

v = -7.049 cm

the image distance is -7.049 cm

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