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27 Feb 2020

Which cosmic distance measurement techniques are considered standard candle techniques?

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5 May 2022

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27 Feb 2020

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1. Geometrical Optics: A candle is at the center of curvature of aconcave mirror with focal length of fm= 10 cm. A divergingent lenshas a focal length of f1= 20 cm and is 60 cm to the right of thecandle. The lens forms two images of the candle. The first isformed by light passing directly through the lens. The second imageis formed from the light that goes from the candle to the mirror,isreflected, and then passes through the lens.

A. Use ray tracing techniques on the diagram above to determinethe approximate position ofeach image.

B. Determine the location of each of the images with respect tothe mirror.

C. Are they real or virtual? (give your answers for each of theimages).

Image1: REAL or VIRTUAL

Image2: REAL or VIRTUALD.

Are they upright or inverted?

Image1: UPRIGHT or INVERTED

Image2: UPRIGHT or INVERTEDE.

If the candle height is 5 cm what will be the height of theimages

6) [8 pts] You are studying by candelight with a friend. The candle is 2.4 m from a wall, and when your friend puts her glasses down on a pile of books at the same height as the candle, you notice an image of the candle on the wall formed by the lens of the glasses. Intrigued, you move the glasses and find a second point to place the eyeglasses where an image is created on the wall. The friend's glasses have a focal length of f=28.0 cm. a. Find the two positions of the lens which will lead to images on the wall. b. Find the magnifications of the two images. Are they upright or inverted? c. Are the images real or virtual? d. Is your friend near-sighted or far-sighted? Two positions give image candle wall

A candle is placed in front of a convex mirror.

Part A. Consider the following diagrams noting that the scale is different between diagrams. In these diagrams, C and F represent the center of curvature and the focal point of the convex mirror, respectively. The image formed by the mirror is obtained using the ray-tracing technique. Which diagram(s) are correct? (Type A if you think that only diagram A is correct, type AB if you think that only diagrams A and B are correct, and so on).

Part B. If the radius of curvature of the convex mirror is , at what distance from the mirror must the candle be placed so that its image is formed from the mirror? (Express your answer in centimeters.)

Part C. Consider the following diagrams, where now C and F represent, respectively, the center of curvature and the focal point of the concave mirror. Again, the image formed by the mirror is found by ray tracing. Choose the correct diagram(s). (Type A if you think that only diagram A is correct, type AB if you think that only diagrams A and B are correct, and so on.)

Part D. Assuming that the candle remains at a distance from the mirror (the same distance found in Part B), at what distance from the mirror will its image form now? (Express your answer in centimeters.)