Chapter 34: Q44P (page 1040)

An object is placed against the center of a thin lens and then moved away from it along the central axis as the image distance is measured. Figure 34-41 gives i versus object distance p out to $p_{s} = 60 cm$ . What is the image distancewhen $p = 100 cm$ ?

Short Answer

Expert verified

The image distance when $p = 100 cm$ is $+ 43 cm$ .

Step by step solution

Listing the given quantities

Horizontal scale $p_{s} = 60 cm$

$p = 100 cm$

Understanding the concepts of lens equation

We can find the focal length by using the lens equation and the data given in the graph. Using this focal length, we can find the image distance for the given object distance.

Formula:

$\frac{1}{f} = \frac{1}{i} + \frac{1}{p}$

Calculations of the image distance when p=100 cm

Using the lens equation,

$\frac{1}{f} = \frac{1}{i} + \frac{1}{p}$

From the graph, at $p = 30$ , $i = \infty$

Therefore,

$\begin{array}{rcl} \frac{1}{f} & = & \frac{1}{\infty} + \frac{1}{30} \\ = & \frac{1}{30} \end{array}$

Now, we have to find the image distance at $p = 100 cm$

$\frac{1}{f} = \frac{1}{i} + \frac{1}{p} i = \frac{1}{\frac{1}{f} - \frac{1}{p}} = \frac{1}{\frac{1}{30} - \frac{1}{100}} = 42.8 \approx + 43 cm$

The image distance when $p = 100 cm$ is $+ 43 cm$ .

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An object is placed against the center of a thin lens and then moved away from it along the central axis as the image distance is measured. Figure 34-41 gives i versus object distance p out to $p_{s} = 60 cm$ . What is the image distancewhen $p = 100 cm$ ?

Short Answer

Step by step solution

Listing the given quantities

Understanding the concepts of lens equation

Calculations of the image distance when p=100 cm

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An object is placed against the center of a thin lens and then moved away from it along the central axis as the image distance is measured. Figure 34-41 gives i versus object distance p out to ps=60cm. What is the image distancewhen p=100cm?

Short Answer

Step by step solution

Listing the given quantities

Understanding the concepts of lens equation

Calculations of the image distance when p=100 cm

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electrostatics

Force

Torque and Rotational Motion

Conservation of Energy and Momentum

Electricity

Magnetism and Electromagnetic Induction

Study anywhere. Anytime. Across all devices.

An object is placed against the center of a thin lens and then moved away from it along the central axis as the image distance is measured. Figure 34-41 gives i versus object distance p out to $p_{s} = 60 cm$ . What is the image distancewhen $p = 100 cm$ ?