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Problem 23.70 You hold a small flat mirror L 2 = 0.50 m in front of you and can

ID: 1507129 • Letter: P

Question

Problem 23.70

You hold a small flat mirror L2 = 0.50 m in front of you and can see your reflection several times in that mirror because there is a full-length mirror L1 = 1.6 m behind you (Figure 1) .

Part A

The closest image that you can see in the small mirror is the reflection of your face. Determine the distance between you and the image.

Express your answer to two significant figures and include the appropriate units.

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Part B

The next closest image that you can see in the small mirror is the reflection of your back. Determine the distance between you and the image.

Express your answer to two significant figures and include the appropriate units.

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Part C

The next closest image that you can see in the small mirror is the second reflection of your face. Determine the distance between you and the image.

Express your answer to two significant figures and include the appropriate units.

Problem 23.70

You hold a small flat mirror L2 = 0.50 m in front of you and can see your reflection several times in that mirror because there is a full-length mirror L1 = 1.6 m behind you (Figure 1) .

Part A

The closest image that you can see in the small mirror is the reflection of your face. Determine the distance between you and the image.

Express your answer to two significant figures and include the appropriate units.

d1 =

SubmitMy AnswersGive Up

Part B

The next closest image that you can see in the small mirror is the reflection of your back. Determine the distance between you and the image.

Express your answer to two significant figures and include the appropriate units.

d2 =

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Part C

The next closest image that you can see in the small mirror is the second reflection of your face. Determine the distance between you and the image.

Express your answer to two significant figures and include the appropriate units.

d3 =

SubmitMy AnswersGive Up

Explanation / Answer

A)
d1 = 2*L2 = 2*0.50 = 1 m
Answer: 1 m

B)
back mirror forms image at L1 from back mirror or 2L1+L2 from front mirror
front mirror will forms its image at 2L1+L2 from itself

d2 = L2 + (2L1+L2)
= 2*L1 + 2*L2
= 2* (L1+L2)
= 2*(1.6+0.5)
= 4.2 m

c)
d3 = L2 + (L1+L2) + L1+L2 + L2
= 2L1 + 4L2
= 2*1.6 + 4*0.5
=5.2 m

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