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You hold a spherical salad bowl 85 cm in front of your face with the bottom of the bowl facing you. The salad bowl is made of polished metal with a 40 −cm radius of curvature.(a) Where is the image of your 5.0-cm-tall nose located? (b) What are the image’s size, orientation, and nature (real or virtual)?

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davidlcastiblanco

Answer:

a. 198.33 cm

b. 11.66 cm

Explanation:

Given s = 85 cm, R = -35 cm, y = 5.0 cm

Using to find

a.

s ' = R * s / 2s - R

s ' = 85 cm * - 35 cm  / 2 * -35 cm - 85 cm

The image is s' inside the mirror is

s ' = 198.33 cm

b.

m = s' / s = y' / y

- 198.33 cm / 85 cm = 2.33

y ' = 2.33 * y

y ' = 2.33cm * 5.0cm = 11.667 cm

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