PHY 2020 Lecture Notes - Lecture 24: Plane Mirror, Curved Mirror, Virtual Image

29 views3 pages

lavenderpig501

21 Jan 2020

School

Department

Course

Professor

For unlimited access to Class Notes, a Class+ subscription is required.

Document Summary

To study reflections from a plane surface. To see how reflections from a spherical surface add new features. To understand ray tracing and graphical methods for all mirrors. To study refractions at spherical surfaces and thin lenses. To adapt what we learned about ray tracing to graphical methods for lenses. Light rays from an object point reflect from a plane mirror as though they came from the image point. Light rays from an object at p refract as though they came from the image point p". Construction for determining the location of the image formed by a plane mirror. Characteristics of the image from a plane mirror. The image is just as far behind the mirror as the object is in front of the mirror: s = -s". The lateral magnification is: m = y"/y. The image is virtual (no real light rays reach the image), erect, reversed, and the same size as the object.

Related Questions

In many cars, the passenger's side mirror has the following warning "Objects in mirror are closer than they appear" embossed on the mirror surface. Your group decides to conduct the following experiment to verify this statement. One member of your group holds a plane mirror just below the passenger's side mirror (radius of curvature =1.60 m) so that you can view an 8.4-cm tall object 2.4 m away from both mirrors. By placing a small ruler on the surface of each mirror, you find that the object appears to be 2.10cm tall in the plane mirror and 1.20cm tall in the passenger's side mirror when you view the images at a distance of .80m in front of the mirrors. Are the images real or virtual? Is the passenger's side mirror concave or convex? Show why the image in the passenger's side mirror appears to be farther away than the object actually is or as viewed on the plane mirror. (Hint:Draw a ray diagram of the object, image, mirror, and your eye for each mirror so that you have a better idea of what your eyes see i.e. the apparent angular size of the image and the corresponding apparent distance away as seen by your eye for both mirrors)

Prob. 2. Two converging lenses, A witha focallength of +2.0cm and B

with a focal length of +5.0cm, areplaced 14cmapart. An object is

place 3.0cm to the left of lensA.

A) Use graphical methods, to scale, toconstruct theray diagram

with a measurement of the final imageposition andheight; and

B) Use the lens equation determinethecharacteristics of the

image.

Prob. 3. A prism with angles 45Â°,45Â°, and 90Â° is tobe used to turn a

beam of light through a 90Â° angle.What is theminimum index of

refraction for the material of theprism that willgive the total

internal reflectionneeded?

Prob. 4. A tarantula is sitting 4.5min front of aconcave spherical mirror

with radius of R =1.4m.

A) Construct a ray diagram to scaleshowing theobject, image and

the mirror. Determine graphicallythecharacteristics of the image.

B) If the image is 5.0cm tall, howhigh is thetarantula?

Prob. 5. A Youngâs double slitapparatus has theslit separation of

0.12mm and the distance between theslits and theviewing

screen is 55 cm.

A) If monochromatic light ofwavelength Î» = 550x10-9mpasses

through the slits, calculate thedistance betweenthe central

(bright) fringe and the adjacentbright fringe.

B) Now imagine that you are usingX-rays, Î»=1x10â9minstead of

visible light in this experiment. Whatwould theslit separation

need to be in order to have thedistance betweenthese first two

bright fringes be1cm?

Prob. 6. Acombination of blue light (n=1.60) andred light (n=1.50)is

incident on the surface of a flatglass plate.Because of dispersion

there are two refracted rays. Draw adiagram showingthe incident

and both refracted rays, indicatingthe red and theblue rays.

Calculate the angle between therefracted blue andred rays.

Extra Credit

a candle is placed in front of a convex mirror.

A candle is placed in front of a convex mirror.

Figure6 of 6The figure labeled C shows two rays coming out of the top of the object in front of the concave mirror, forming an acute angle with the axis. Upper ray reflects parallel to the axis. And the lower ray reflects in the direction exactly opposite to its initial direction. There is a focus point F on the axis in front of the mirror and a center of the mirror’s curvature C between point F and the object. The image is smaller, than the object, located between points F and C, and inverted, its tip is formed by intersection of the reflected rays. The initial upper ray passes through point F and the initial upper ray passes through point C. The figure labeled C shows two rays coming out of the top of the object in front of the concave mirror, forming an acute angle with the axis. Upper ray reflects parallel to the axis. And the lower ray reflects in the direction exactly opposite to its initial direction. There is a focus point F on the axis in front of the mirror and a center of the mirror’s curvature C between point F and the object. The image is smaller, than the object, located between points F and C, and inverted, its tip is formed by intersection of the reflected rays. The initial upper ray passes through point F and the initial upper ray passes through point C.

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?(Figure 1) (Figure 2) (Figure 3) 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 50.0 cm , at what distance do from the mirror must the candle be placed so that its image is formed 20 cm from the mirror? Express your answer in centimeters. View Available Hint(s) dod o d_o = cm The convex mirror is now replaced by a concave mirror with the same radius of curvature.

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).(Figure 4) (Figure 5) (Figure 6) 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. View Available Hint(s)

Part D Assuming that the candle remains at a distance do from the mirror (the same distance found in Part B), at what distance di from the mirror will its image form now? Express your answer in centimeters. View Available Hint(s) did i d_i = nothing cm