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1. Calculate the % Error between the given focus length of the mirror and your average experimental value. Show work.

1. Calculate the % Error between the given focus length of the mirror and your average experimental value. Show work.

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1. Calculate the % Error between the given focal length of the mirror and your average experimental value. Show work. 2. Using Excel, or some other graphing program, graph \( \frac{1}{q} \) vs. \( \frac{1}{p} \) from the data from Table 3. - \( \frac{1}{q} \) on the y-axis 3. What physical property of the mirror does the y-intercept represent? 4. Were the images, compared to the object, upright or inverted? 5. Would the image be upright or inverted if the object was placed 'inside' the focal length of the mirror? 6. Using Excel, or some other graphing program, graph M vs. p. 7. As the object position value gets larger, what value does the magnification go to?
Transcribed Image Text:1. Calculate the % Error between the given focal length of the mirror and your average experimental value. Show work. 2. Using Excel, or some other graphing program, graph \( \frac{1}{q} \) vs. \( \frac{1}{p} \) from the data from Table 3. - \( \frac{1}{q} \) on the y-axis 3. What physical property of the mirror does the y-intercept represent? 4. Were the images, compared to the object, upright or inverted? 5. Would the image be upright or inverted if the object was placed 'inside' the focal length of the mirror? 6. Using Excel, or some other graphing program, graph M vs. p. 7. As the object position value gets larger, what value does the magnification go to?
### Table of Mirror Experiment Data This table records data from an experiment aimed at determining the focal length of a mirror as well as the magnification produced by it. Below is the explanation of each column in the table: 1. **Object Height, h**: Constant at 4.2 cm for this experiment. 2. **p (cm)**: Distance from the object to the mirror, given in centimeters. 3. **q (cm)**: Distance from the image to the mirror, also in centimeters. 4. **f**: Focal length calculated using the formula \( f = \frac{q \cdot p}{q + p} \). 5. **h' (cm)**: Image height in centimeters. The negative values indicate that the image is inverted. 6. **M = h'/h**: Magnification calculated by dividing the image height by the object height. 7. **M = -q/p**: Alternative calculation of magnification using the negative ratio of image distance (q) to object distance (p). ### Data Rows - For varying values of **p** from 100 cm down to 13 cm, the corresponding **q**, **f**, **h'**, and **M** values are noted. - As **p** decreases, both **h'** values and magnifications change, demonstrating variations in image size and orientation. - The **average focal length (Average f)** is calculated to be 4.75 cm, suggesting the approximate focal point of the mirror. ### Observations - The mirror has a stated focal length of 5 cm. - The experimental average focal length is close to 5 cm, indicating consistency. - Negative values in **h'** and **M** indicate the image is inverted relative to the object. This dataset provides insight into how object distance affects image size, orientation, and mirror focal properties in a controlled setting.
Transcribed Image Text:### Table of Mirror Experiment Data This table records data from an experiment aimed at determining the focal length of a mirror as well as the magnification produced by it. Below is the explanation of each column in the table: 1. **Object Height, h**: Constant at 4.2 cm for this experiment. 2. **p (cm)**: Distance from the object to the mirror, given in centimeters. 3. **q (cm)**: Distance from the image to the mirror, also in centimeters. 4. **f**: Focal length calculated using the formula \( f = \frac{q \cdot p}{q + p} \). 5. **h' (cm)**: Image height in centimeters. The negative values indicate that the image is inverted. 6. **M = h'/h**: Magnification calculated by dividing the image height by the object height. 7. **M = -q/p**: Alternative calculation of magnification using the negative ratio of image distance (q) to object distance (p). ### Data Rows - For varying values of **p** from 100 cm down to 13 cm, the corresponding **q**, **f**, **h'**, and **M** values are noted. - As **p** decreases, both **h'** values and magnifications change, demonstrating variations in image size and orientation. - The **average focal length (Average f)** is calculated to be 4.75 cm, suggesting the approximate focal point of the mirror. ### Observations - The mirror has a stated focal length of 5 cm. - The experimental average focal length is close to 5 cm, indicating consistency. - Negative values in **h'** and **M** indicate the image is inverted relative to the object. This dataset provides insight into how object distance affects image size, orientation, and mirror focal properties in a controlled setting.
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