question archive mirror equation: 1/s + 1/s' = 1/f linear magnification: m = h'/h = -s'/s 1

mirror equation: 1/s + 1/s' = 1/f linear magnification: m = h'/h = -s'/s 1

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mirror equation: 1/s + 1/s' = 1/f

linear magnification: m = h'/h = -s'/s

1.With the concave side of your mirror facing you, hold up one finger and observe and record what happens to the image of your finger as you move it closer and closer to the mirror (go all the way until you are just about touching the mirror). Do you see a transition at some point? Be sure to note how the size of the image changes as well as whether it remains inverted or becomes upright.

2.     At what point in front of the concave lens does this transition occur? Let's use the mirror equation to find out. Make a second table for your report and calculate s', h', and m (and note whether the image is real or virtual and upright or inverted) for two cases: 

1)     when the object is at a point just outside the focal length s = 1.1*f

2)     when the object is slightly nearer to the mirror than the focal point at s = 0.9*f

Question 2. Use the results of your table to record the approximate focal length of your mirror. Does this roughly agree with your observation of your finger?

Question 3. Where should you place the object if you want the image to have the greatest magnification? Use the mirror equation to calculate the ideal location for max magnification.

 

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Part A

Answer 1 

as we move closer to concave mirror we see series of image formations as -

as we see result from 1 to 6 we conclude that size of image increase as we move from infinity to focus of mirror. also 

Characteristics of Concave Mirrors

  • Light converges at a point when it strikes and reflects back from the reflecting surface of the concave mirror. Hence, it is also known as a converging mirror.
  • When the concave mirror is placed very close to the object, a magnified and virtual image is obtained.
  • However, if we increase the distance between the object and the mirror then the size of the image reduces and a real image is formed.
  • The image formed by the concave mirror can be small or large or can be real or virtual.

Answer 2

transition start from 3rd condition of image formation and continue till last goes on magnifying

Concave Mirror Ray Diagram

  • Concave Mirror Ray Diagram lets us understand that, when an object is placed at infinity, a real image is formed at the focus. The size of the image is much smaller compared to that of the object.
  • When an object is placed behind the center of curvature, a real image is formed between the center of curvature and focus. The size of the image is smaller than compared to that of the object.
  • When an object is placed at the center of curvature and focus, the real image is formed at the center of curvature. The size of the image is the same as compared to that of the object.
  • Transition start from here When an object is placed in between the center of curvature and focus, the real image is formed behind the center of curvature. The size of the image is larger than compared to that of the object.
  • When an object is placed at the focus, the real image is formed at infinity. The size of the image is much larger than compared to that of the object.
  • When an object is placed in between focus and pole, a virtual and erect image is formed. The size of the image is larger than compared to that of the object.

Part B

Answer 1

answer 2

part 3 

Answer 1  F is nearly 4.79 which is different from my mirrors focal length

Answer 2 

object should be placed between C & F to get maximum magnifications explaination is above question 1 table

  • When an object is placed at the focus, the real image is formed at infinity. The size of the image is much larger than compared to that of the object.

image

S. No Position of Object Position of Image Size of Image Nature of Image
1 At infinity At the focus F Highly Diminished Real and Inverted
2 Beyond the center of curvature C Between F and C Diminished Real and Inverted
3 At the center of curvature C At C Same Size Real and Inverted
4 Between C and F Beyond C Enlarged Real and Inverted
5 At focus F At Infinity Highly Enlarged Real and Inverted

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