PHEN1120-Lab09

.docx

School

North Park University *

*We aren’t endorsed by this school

Course

1120

Subject

Mathematics

Date

Apr 3, 2024

Type

docx

Pages

Uploaded by BarristerSandpiper1078

PHEN-1120 NPU / Fall 2023 Concave Mirror NAME: Sophie Perruffel, Michell Tejera, Olivia Whitmore, Conner Woods SECTION: 1 Lab09: Concave Mirror INTRODUCTION While we all feel familiar with the images, we see in plane mirrors, our experiences with their curved counterparts might be limited to cosmetic mirrors or the side view mirrors on automobiles. In this experiment, you will explore the characteristics of the real images formed by curved concave (or converging) mirrors. Then you will develop a mathematical relationship describing the relationship between the positions of the object and the real image formed by concave mirrors. OBJECTIVES In this experiment, you will • Use a concave mirror to produce real images. • Explore how the position of the object affects the appearance, orientation, and size of real images produced by a concave mirror. • Explore how mirror characteristics and the position of the object affect the appearance, orientation, and size of virtual images produced by a concave mirror. • Determine the relationship between object distance, image distance, focal length, and magnification in real images produced by a concave mirror. MATERIALS Mirror Set Dynamics System track Small plane mirror Optics Expansion Kit Data Set LENS-MIRROR EQUATION Write below the Lens-Mirror Equation. In the Lens-Mirror Equation, define by the letter p the distance between the light source and the lens and by the letter q the distance between the mirror and the image. p is also reported as “object distance” and q as the “image distance” . Define with the letter f the focal length of the mirror. The Lens-Mirror Equation is labelled as Equation 1 throughout the lab handout. 1

PHEN1120-Lab09 Concave Mirrors Equation 1 : 1 p + 1 q = 1 f MAGNIFICATION EQUATION Write below the Equation for the Magnification M of an optical system consisting of an object, a mirror of focal length f and a screen with an image. Define 𝒉 𝒐 the object size and 𝒉 𝒊 the image size. Use the letter p as the “object-distance” and the letter q as the “image distance”. This Magnification Equation is labelled as Equation 2 throughout this lab handout. Equation 2 : M = h’ h = − q p FOCAL LENGTH OF A CONVERGING (BICONVEX) LENS For the 8 “Object-Distance” p reported in Table1 , record in Table 1 the measured values q for the “Image-Distance” and in Table 2 the corresponding Image sizes. Complete Table 1 by calculating the Inverse of the “Object-Distance” (1/p) and report the corresponding value in the second column of Table 1 . Calculate also the Inverse of the “ImageDistance” (1/q) and report the corresponding value in the fourth column of Table 1 In the fifth column of Table 2 report the Magnification M corresponding to the ratio of the Image size to the Object size and the negative sign comes from the fact that the Image is inverted compared to the Object (the image has the arrow pointing down and the object has the arrow pointing up). Please complete the last two rows of Table 2 by calculating first the Magnification using Equation 2 and by performing an error analysis between the two Magnification. Take the Magnification reported in column 5 as “measured” and the magnification of column 6 as “expected”. As a reminder the error analysis equation is: (𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑑 − 𝑒𝑥𝑝𝑒𝑐𝑡𝑒𝑑) 𝑃𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 𝐷𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 [%] = × 100 𝑒𝑥𝑝𝑒𝑐𝑡𝑒𝑑 2

PHEN1120-Lab09 Concave Mirrors Table 1 : Measured “Object-Distance” p and “Image-Distance” q from measurement Object-Distance p [cm] Inverse Object-Distance 1 p [𝒄𝒎 *𝟏 ] Image-Distance q [cm] Inverse Image-Distance 1 q [𝒄𝒎 *𝟏 ] 25 0.04 19 0.053 30 0.033 16.5 0.0606 35 0.028 15 0.067 40 0.025 14.3 0.0699 45 0.022 14 0.0714 50 0.002 13.3 0.07518 55 0.018 13 0.0769 60 0.016 12 0.08333 3

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help