Exp. 7 Mirrors and Lenses #2

Experiment #7: Mirrors and Lenses Abril Jimenez Lab partner: Hecnelly Guzman, Willie S. PHY 167 LAB Prof: Esmil Yapor Performed: 11/30/2023 Thursday 8:00 pm – 9:00 pm Due date: 12/07/2023

ABSTRACT In this experiment, we are going to look at mirror and lens imaging properties, image distance and height, and focal length and magnification. We are going to use plane mirror and concave mirror, and convergence and divergence lens. All the calculated focal lengths are very close together when using different rows. APPARATUS  Optical bench  Illuminated object  Screens  Converging and diverging lenses  Concave mirror  Plane mirror  Half meter stick DATA Part A: Concave Mirror Arrangement Object Distance (cm) Image distance (cm) Object Height (cm) Image height Image Orientation Projected back to object distance 7.8 7.8 3 3.9 Inverted Projected back to 2x object distance 9.9 5.3 3 1.2 Inverted

Part C: Diverging Lens Arrangement Focal Length Diverging lens between converging lens and screen, image reflected off a mirror onto the plane of the object 20.3 CALCULATION AND ANALYIS 1. 1 f = 1 d 1 + 1 d 0  1 7.8 + 1 7.8 = 0.25 cm  1 9.9 + 1 5.3 = 0.28 cm 2. M = h i h 0

 3 cm 3 cm = 1 cm  3.9 cm 1.2 cm = 3.25 cm 3. 1 f = 1 d 1 + 1 d 0  1 3.5 + 1 3.5 = 0.57 cm  1 28 + 1 53 = ¿ 0.054 cm  1 54.6 + 1 25 = 0.058 cm 4. Percent error R 1 ( Ω ) = Average Value − Accepted Value Accepted Value x 100 = ¿  0.57 − 0.054 − 0.058 − 18.0 18.0 x 100 =− 97.4 % 5. The focal length of the diverging lens was 20.3 cm CONCLUSION At the end, mirror imaging properties were looked at, focal lengths and magnifications of the mirrors and lenses under various conditions were determined, images and heights produced by different mirrors and lenses were measured and quantified. Moving objects behind the mirror makes the image smaller or reduced, moving objects closest to the mirror makes it bigger or larger, moving objects closer to the focus makes it bigger or magnified. Moving objects away from concave mirrors and convex lenses makes the image shift or move closer. This indicates that there are many errors in this lab. Because the calculation methods weren’t followed exactly, the causes of these errors could be important to the lab’s equations. Because the measurements were taken with real scale, which resulted in inaccuracies in this lab, the figures could be 1 or 2 cm off. We were unable to understand and use the online apparatuses we needed to perform accurate calculations using the given formulas.