PHYS 52 LAB 6 - Redone

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School

San Jose State University *

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Course

52

Subject

Computer Science

Date

Dec 6, 2023

Type

pdf

Pages

8

Uploaded by albertkim1023

Albert Kim and Jose Navarro SJSU ID: 015782780 Professor Santhanakrishnan 23 October 2023 Lab 6: Image Formation by Spherical Mirrors & Lenses Purpose: The purpose of this experiment aims to investigate the behavior of convex lenses and concave mirrors. In particular, the behavior of the image in relation to its distance from the focal point. We will also look at magnification and its relationship to image distance, object distance, and focal point. Calculations Used: 1 ? + 1 ?' = 1 ? The relationship between object distance (s), image distance(s’) and focal length (f) ? = 𝑅 2 The formula giving focal length of spherical mirror 𝑚 =− ?' ? The formula for lateral magnification 𝑚' =− ?𝑚??? ℎ???ℎ? 𝑜????? ℎ???ℎ? (formula for measured magnification) ? ?𝑥 −? ?ℎ ? ?ℎ | | | | | | 100 (formula used to calculate percent error)
Project 1: For the first experiment, we set out to measure the focal length and magnification of a lens through the simulation. Results: Figure 1: Results from multiple trials of the experiment at different distances We were able to determine the theoretical focal length to be fth=76 cm by using the lens manufacturer equation. We tried two different approaches—using Excel's x and y intercepts and a graphic representation—to get the experimental value for our focal length. Figure 1 illustrates that while there appears to be a common point that occurs at the 70 cm mark, the graph's conclusions are not definitive. The result of the second approach, fth=76.59 cm, was far more satisfying. As a result, we can determine our % inaccuracy, which was . Based on the table, several inferences can be drawn. Both the 76.59?𝑚−76?𝑚 76?𝑚 | | | | 100 = 0. 78% measured and lateral magnifications drop as the item gets farther from the focal point. Furthermore, we observe that dividing the measured magnification by the lateral magnification produces a value of one. indicating that they are equal. This leads us to believe that there are two methods for measuring magnification. either by being aware of the object's and image's respective heights or by their distances from the focal point.
Figure 2: Project 1 Calculations Ray tracing: Figure 3: Ray Tracing of object of 120 cm and 130 cm
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