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Concave Mirrors (Continued)
1. Regular Problem A man stands in front of a concave mirror and takes his picture – his image in the picture is reduced, real, and inverted.
a) Draw a ray diagram for the situation. Where is the man standing in relation to the mirror’s focal and center points?
2. Test Use problems we did in class to test to see if the mirror equation makes sense to describe the locations of the focal length, image distance, and object distance.
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Try it yourself You place an object 3 meters in front of a concave mirror that has a focal point 1 meter from the surface of the mirror.
a) Draw a ray diagram for the situation (to scale):
b) Calculate the location of the image distance. Is your ray diagram consistent with your math?
c) Is the object’s image… (magnified or reduced?) (real or virtual?) (upright or inverted?)
Try it yourself The object is now placed 0.5 meters in front of a concave mirror that has a focal point 1 meter away from the surface of the mirror.
a) Draw a ray diagram for the situation (to scale):
b) Calculate the location of the image distance. Is your ray diagram consistent with your math?
c) Is the object’s image… (magnified or reduced?) (real or virtual?) (upright or inverted?)
Reason What does a positive image distance mean? What does a negative image distance mean?
3. Practice You place an object 4.2 meters in front of a concave mirror with a focal length of 3.4 meters.
a) Draw a ray diagram for the situation (to scale):
b) Calculate the location of the image distance. Is your ray diagram consistent with your math?
c) Is the object’s image… (magnified or reduced?) (real or virtual?) (upright or inverted?)
Homework (from Optics 4)
PLEASE COMPLETE ON A SEPARATE SHEET OF PAPER.
5. Regular problem Use ray diagrams and the mirror equation derived in class to locate the position, orientation, and type of image formed by an upright object held in front of a concave mirror of focal length +20 cm. The object distances are (a) 200 cm, (b) 40 cm, and (c) 10 cm. 6. Regular problem A large concave mirror of focal length +3.0 m stands 20 m in front of you. Describe the changing appearance of your image as you move from 20 m to 1 m from the mirror. Indicate distances from the mirror where the change in appearance is dramatic. 7. Regular Problem Location the position, orientation, and type of image formed by an upright object held in front of a concave mirror of focal length + 50 cm. The object distance is 100 cm. Include a ray diagram. 8. Regular Problem Locate the position, orientation, and type of image formed by an upright object held in front of a concave mirror of focal length +50 cm. The object distance is +25 cm. Include a ray diagram. 9. Regular Problem Locate the position, orientation, and type of image formed by an upright object held in front of a concave mirror of focal length + 3m. The object distance is 2.5m. Include a ray diagram. 10. Regular Problem Locate the position, orientation, and type of image formed by an upright object held in front of a concave mirror of focal length +26 cm. The object distance is 32cm.
(Additional paper for homework ray diagrams)
