Q. 30 In FIGURE P35.30, 聽what are the... [FREE SOLUTION]

91影视

Chapter 35: Q. 30 (page 1018)

In FIGURE P $35.30$ , what are the position, height, and orientation of the final image? Give the position as a distance to the right or left of the lens.

Short Answer

Expert verified

The position, height, and orientation of the final image is given below.

Step by step solution

Given information.

We need to find out the position, height, orient-tion, and a distance from right or left lens.

Simplify

As we can get the values from the diagram:

$f_{1} = 10 c m f_{2} = - 30 c m h = 1 c m S_{1} = 5 c m$

Here, $S_{1}$ is the distance from lens, $f_{1}$ is the focal length of lens, $h$ is the height of the object, $f_{2}$ is the focal length of the mirror and ${S^{'}}_{1}$ is the distance of the image from the lens.

First, Let us find the $S_{1}^{'}$

$s_{1}^{'} = \frac{f_{1} S_{1}}{S_{1} - f_{1}} S_{1}^{'} = \frac{(10) (5)}{5 - 10} S_{1}^{'} = \frac{50}{- 5} S_{1}^{'} = - 10 c m$

Calculation.

Now, Let us find out $S_{2}^{'}$

$S_{2}^{'} = \frac{f_{2} S_{2}}{S_{2} - f_{2}} S_{2}^{'} = \frac{(- 30) (15)}{15 - (- 30)} S_{2}^{'} = \frac{- 450}{45} S_{2}^{'} = - 10 c m$

Finally, Let us find $S_{3}^{'}$ , Since $f_{1} = f_{3} = 10 c m$

$S_{3}^{'} = \frac{f_{3} S_{3}}{S_{3} - f_{3}} S_{3}^{'} = \frac{(10) (15)}{15 - 10} S_{3}^{'} = \frac{150}{5} S_{3}^{'} = 30 c m$

Finally, we get $h^{'}$ from next relation:

$h^{'} = h \frac{S_{1}^{'}}{S_{1}} \frac{S_{2}^{'}}{S_{2}} \frac{S_{3}^{'}}{S_{3}} h^{'} = (1.0 c m) \frac{- 10 c m}{5.0 c m} \frac{- 10 c m}{15 c m} \frac{30 c m}{15 c m} h^{'} = 2.7 c m$ .

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91影视

In FIGURE P $35.30$ , what are the position, height, and orientation of the final image? Give the position as a distance to the right or left of the lens.

Short Answer

Step by step solution

Given information.

Simplify

Calculation.

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91影视

In FIGURE P35.30, what are the position, height, and orientation of the final image? Give the position as a distance to the right or left of the lens.

Short Answer

Step by step solution

Given information.

Simplify

Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Thermodynamics

Work Energy and Power

Famous Physicists

Wave Optics

Oscillations

Electromagnetism

Study anywhere. Anytime. Across all devices.

In FIGURE P $35.30$ , what are the position, height, and orientation of the final image? Give the position as a distance to the right or left of the lens.