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# Find out the focal length of the mirror through focusing the image of distant objects on the focal plane of the mirror.

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Introduction

C8 The Focal Length of a Concave Mirror Experiment 1 Capturing image of distant objects Aim: Find out the focal length of the mirror through focusing the image of distant objects on the focal plane of the mirror. Diagram of setup: Procedure: 1. The concave mirror is held facing distant objects outside an open window. The screen is moved between the mirror and the window until the images of the distant objects are focused on the screen. 2. The distance between the mirror and the screen is then measured, and this gives the focal length of the mirror. Precaution: 1. It should be the images of the distant objects that are to be captured rather than the images of the window frames. Results: The distance between the mirror and the screen where the image is the sharpest: 15cm The range of distance between the mirror and the screen where the image is sharp: 14.5 - 16cm Sources of error: 1. It is difficult to determine the sharpest image on the screen. ...read more.

Middle

Hence, the focal length of the mirror is determined. Precaution: 1. Make sure that the mirror is perfectly vertical. 2. If you cannot see the image of the pin, the probable reasons are (a) You are too close to the pin, less than the least distance of distinct vision, (b) The image occurs behind you (c) The pin is not along the principal axis of the mirror. Results: The distance between the mirror and the pin: 30.8cm Calculation/ Interpretation: The center of curvature of the mirror: 30.8cm The focal length of the mirror: 15.4cm Experiment 3 Locating the center of curvature using an illuminated object Aim: Find out the center of curvature of the mirror through focusing the image of center of curvature on the screen alongside the object. Diagram of setup: Procedure: 1. The lamp house is placed with an illuminated letter "F" in front of the mirror. The vertical position of the letter so that it is at the same level as the mirror. ...read more.

Conclusion

The object distance u and the image distance v is measured 2. Step 1 is repeated to capture 3 other diminished images and 4 other magnified images on the screen. In each case the object distance u and the image distance v is recorded. 3. A graph of 1/v against 1/u is plotted. The best-fit straight line is drawn and it is produced to intersect both axes. 4. The intercepts on both axes are found. The mean intercept is calculated. Hence, the focal length of the concave mirror is determined. Precaution: 1. Make sure that the mirror is perfectly vertical. Results: u 18cm 21cm 24cm 27cm 33cm 36cm 39cm 42cm v 81cm 50.9cm 40.3cm 30.7cm 27.5cm 26cm 23.5cm 21cm Calculation/ Interpretation: 1/u 0.055556 0.047619 0.041667 0.037037 0.030303 0.027778 0.025641 0.02381 1/v 0.012346 0.019646 0.024814 0.032573 0.036364 0.038462 0.042553 0.047619 Sources of error: 1. It is difficult to determine the sharpest image on the screen. We could often find a range of sharp images. Conclusion: There are a number of methods in finding the focal length of the concave mirror. ...read more.

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