The thin glass shell shown in (Figure 1) has a spherical shape with a radius of

Question

The thin glass shell shown in (Figure 1) has a spherical shape with a radius of curvature of 13.5 cm , and both of its surfaces can act as mirrors. A seed 3.30 mm high is placed 15.0 cm from the center of the mirror along the optic axis, as shown in the figure.

Part A

Calculate the location of the image of this seed.

Express your answer in centimeters to three significant figures.

Part B

Calculate the height of the image of this seed.

Express your answer in millimeters to three significant figures.

Part C

Suppose now that the shell is reversed. Find the location of the seed's image.

Express your answer in centimeters to three significant figures.

Part D

Find the height of the seed's image.

Express your answer in millimeters to three significant figures.

Explanation / Answer

Here ,

part A)

f = 13.5/2 = 6.75 cm

do = 15 cm

Using mirror formula

1/f = 1/di + 1/do

1/6.75 = 1/15 + 1/di

di = 12.3 cm

the image is located at 12.3 cm

part B)

height of the image = 3.3 * (-12.3/15)

height of the image = -2.7 mm

part c)

for that case ,

f = - 6.75 cm

Using mirror formula

1/f = 1/di + 1/do

-1/6.75 = 1/15 + 1/di

di = -4.65 cm

the image is located at -4.65 cm

part d)

height of the image = 3.3 * (4.65/15)

height of the image = 1.03 mm

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