When an object is put in front of a thin lens, if the focal length o image will be formed by using the thin lens equation: 1.1.1 pqf lens is known, one can predict where the where is the object distance, g is the image distance, and is the focal length./is positive for a converging lens, and negative for a diverging lens. Refer to the figure below to answer the questions: A positive lens A negative lens tr 1. If an object is located very far from a converging lens, i.e. p-o, where would its image be formed? 2. If an object is located on the first focal point of a converging lens, i.e. p-f, where is its image formed? is the image on the same side or opposite side of the lens as the object? 3. If an object is located on the second focal point of a diverging lens, i.e.p-, where is its image formed? Is the image on the same side or opposite side of the lens as the object?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Course #:** ________  **Section #:** ________  **Name:** ________________________________

# Pre-lab: The Focal Length of a Lens

## Read the manual O-3 thoroughly.

When an object is put in front of a thin lens, if the focal length of a lens is known, one can predict where the image will be formed by using the thin lens equation:

\[
\frac{1}{p} + \frac{1}{q} = \frac{1}{f}
\]

where \( p \) is the object distance, \( q \) is the image distance, and \( f \) is the focal length. \( f \) is positive for a converging lens, and negative for a diverging lens.

### Refer to the figure below to answer the questions:

**[Diagram Explanation]**

- **A positive lens:** The diagram on the left shows a converging lens (depicted as a double convex lens). A parallel ray entering the lens converges at the focal point (F) on the opposite side.
  
- **A negative lens:** The diagram on the right illustrates a diverging lens (depicted as a double concave lens). A parallel ray entering the lens diverges as if originating from the focal point (F) on the same side.

### Questions:
1. **If an object is located very far from a converging lens, i.e., \( p \rightarrow \infty \), where would its image be formed?**

   \( q = \) __________

2. **If an object is located on the first focal point of a converging lens, i.e., \( p = f \), where is its image formed?**

   \( q = \) __________

- Is the image on the same side or opposite side of the lens as the object? __________

3. **If an object is located on the second focal point of a diverging lens, i.e., \( p = |f| \), where is its image formed?**

   \( q = \) __________

- Is the image on the same side or opposite side of the lens as the object? __________
Transcribed Image Text:**Course #:** ________ **Section #:** ________ **Name:** ________________________________ # Pre-lab: The Focal Length of a Lens ## Read the manual O-3 thoroughly. When an object is put in front of a thin lens, if the focal length of a lens is known, one can predict where the image will be formed by using the thin lens equation: \[ \frac{1}{p} + \frac{1}{q} = \frac{1}{f} \] where \( p \) is the object distance, \( q \) is the image distance, and \( f \) is the focal length. \( f \) is positive for a converging lens, and negative for a diverging lens. ### Refer to the figure below to answer the questions: **[Diagram Explanation]** - **A positive lens:** The diagram on the left shows a converging lens (depicted as a double convex lens). A parallel ray entering the lens converges at the focal point (F) on the opposite side. - **A negative lens:** The diagram on the right illustrates a diverging lens (depicted as a double concave lens). A parallel ray entering the lens diverges as if originating from the focal point (F) on the same side. ### Questions: 1. **If an object is located very far from a converging lens, i.e., \( p \rightarrow \infty \), where would its image be formed?** \( q = \) __________ 2. **If an object is located on the first focal point of a converging lens, i.e., \( p = f \), where is its image formed?** \( q = \) __________ - Is the image on the same side or opposite side of the lens as the object? __________ 3. **If an object is located on the second focal point of a diverging lens, i.e., \( p = |f| \), where is its image formed?** \( q = \) __________ - Is the image on the same side or opposite side of the lens as the object? __________
Course # ___________       Section # ___________       Name ___________

The index of refraction of a material \( n_2 \) can be calculated if \( n_1 \) is known, \( \theta_1 \) and \( \theta_2 \) are measured. Using Snell’s law:

\[
n_2 = n_1 \frac{\sin \theta_1}{\sin \theta_2}
\]

Derive an expression for calculating the uncertainty in \( n_2 \), assume no uncertainty in \( n_1 \). You will need to refer to lab manual G-7 to do the derivation.
Transcribed Image Text:Course # ___________ Section # ___________ Name ___________ The index of refraction of a material \( n_2 \) can be calculated if \( n_1 \) is known, \( \theta_1 \) and \( \theta_2 \) are measured. Using Snell’s law: \[ n_2 = n_1 \frac{\sin \theta_1}{\sin \theta_2} \] Derive an expression for calculating the uncertainty in \( n_2 \), assume no uncertainty in \( n_1 \). You will need to refer to lab manual G-7 to do the derivation.
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