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Exploring Image and Object Relationships in Curved Mirrors

This study investigates the relationships between image distance, object distance, image height, and object height for a curved (converging) mirror. Specifically, it tests the hypothesis that the inverse of image and object distances exhibits a linear relationship, while image height varies linearly with object distance. Additionally, it examines the direct proportionality between image height and object height. The experiment involves placing a curved mirror on a calibrated track, utilizing a semi-transparent screen to focus images, and making precise measurements to determine the focal length and other metrics related to curved mirrors.

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Exploring Image and Object Relationships in Curved Mirrors

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  1. Converging Mirrors Paul Lisker & Dylan Schultz

  2. 1. Find a relationship for image distance and object distance for a curved (converging) mirror. 2. Find a relationship between the image height and object distance. 3. Find a relationship between the image height and object height. Purpose

  3. 1. The inverses of the image and object distance will have a linear relationship. 2. The inverse of the image height will vary linearly with the object distance. 3. Image height and object height will be directly proportional. Hypotheses

  4. Focal Length?(see board)

  5. 1. Place curved mirror on calibrated track next to open window. 2. Place semi transparent screen between mirror and window. 3. Move screen closer or farther from mirror to focus image. 4. Once image is focused on screen, measure the distance between mirror and screen. This is the focal length. Determining focal length

  6. Experiments 1 and 2Diagram

  7. Curved mirror Metal track Dynamic carts Light source with L object Meter stick Head lamps Transparent screen Window Lab Materials

  8. Place curved mirror on metal stand Connect the track to a dynamics cart track Place object 15 f distances away from mirror using various tracks Place screen on another track angled from mirror to not block light source Angle mirror to project on screen Focus object on screen by moving it back and forth until image is clear Measure distance & image height Move closer by one whole focal point, until it is three f lengths away, then move by 5 cm increments, then when it is within two f points away, move every two cm, until 1 f is reached. Procedure

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