College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Need help with #7 please

**Lens Equation: Lab Activity**

The relationship between the object distance \(d_o\), image distance \(d_i\), and the focal length \(f\) can be modeled by the thin lens equation:

\[
\frac{1}{d_o} + \frac{1}{d_i} = \frac{1}{f}
\]

A thin lens is a lens where the width of the lens is a lot smaller than the diameter of the lens.

**Double convex lens:** Assume that the object distance \(d_o\) is positive if it’s to the left of the lens, the image distance \(d_i\) is positive if it’s to the right of the lens, the focal point is positive if it is on the other side of the lens as the object.

**Double concave lens:** Assume that the object distance \(d_o\) is positive if it’s to the left of the lens, the image distance \(d_i\) is negative if it’s on the same side of the lens, and the focal point is negative if it’s on the same side as the object.

**Focal length** is positive if working with a double convex lens and negative if working with a double concave lens.

The lens magnification can be described using the formula \(m = -\frac{h_i}{h_o} = -\frac{d_i}{d_o}\) where \(h_o\) is the object’s height, and \(h_i\) is the image's height.

**Simulation link:** [http://ophysics.com/l12.html](http://ophysics.com/l12.html)

In this activity, you will use the thin lens equation to find the objects distance analytically and then verify it using the provided simulation.
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Transcribed Image Text:**Lens Equation: Lab Activity** The relationship between the object distance \(d_o\), image distance \(d_i\), and the focal length \(f\) can be modeled by the thin lens equation: \[ \frac{1}{d_o} + \frac{1}{d_i} = \frac{1}{f} \] A thin lens is a lens where the width of the lens is a lot smaller than the diameter of the lens. **Double convex lens:** Assume that the object distance \(d_o\) is positive if it’s to the left of the lens, the image distance \(d_i\) is positive if it’s to the right of the lens, the focal point is positive if it is on the other side of the lens as the object. **Double concave lens:** Assume that the object distance \(d_o\) is positive if it’s to the left of the lens, the image distance \(d_i\) is negative if it’s on the same side of the lens, and the focal point is negative if it’s on the same side as the object. **Focal length** is positive if working with a double convex lens and negative if working with a double concave lens. The lens magnification can be described using the formula \(m = -\frac{h_i}{h_o} = -\frac{d_i}{d_o}\) where \(h_o\) is the object’s height, and \(h_i\) is the image's height. **Simulation link:** [http://ophysics.com/l12.html](http://ophysics.com/l12.html) In this activity, you will use the thin lens equation to find the objects distance analytically and then verify it using the provided simulation.
**Question 7:** Now imagine that you are working with a double concave lens. You can convert the convex lens to a double concave by moving the point labeled focus’ to the other side of the lens. Create the following scenario f = -2.0, object of height h₀ = 1 unit is placed at x = -8 and the object distance is d₀ = 8 units. What is the image distance, the magnification, type of image formed and the orientation of the image? Why is this image called virtual?

**Question 8:** Verify the results from question 7 using the thin lens equation and the equation for magnification.
expand button
Transcribed Image Text:**Question 7:** Now imagine that you are working with a double concave lens. You can convert the convex lens to a double concave by moving the point labeled focus’ to the other side of the lens. Create the following scenario f = -2.0, object of height h₀ = 1 unit is placed at x = -8 and the object distance is d₀ = 8 units. What is the image distance, the magnification, type of image formed and the orientation of the image? Why is this image called virtual? **Question 8:** Verify the results from question 7 using the thin lens equation and the equation for magnification.
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