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Two rays traveling parallel to the principal axis strike a large plano-convex lens having a refractive index of 1.60.

If the convex face is spherical, a ray near the edge does not pass through the focal point and (spherical aberration is said to have occurred).

Assume this face has a radius of curvature, of  R= 20.0 cm and the two rays are at distance  cm and cm from the principal axis, find the difference in the position where which acrosses the principal axis.

 

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Sumant
SumantLv10
16 Jul 2019
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

a candle is placed in front of a convex mirror.

A candle is placed in front of a convex mirror.

Solved: A Candle Is Placed In Front Of A Convex Mirror. Fi... | Chegg.com

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

The figure labeled A shows two rays coming out of the top of the object, one parallel to the axis of the mirror, and the other at an acute angle with the axis. The parallel to the axis ray reflects upper, than its initial way was, and the other ray reflects parallel to the axis. Prolongations of the reflected rays and the lower initial ray are shown beyond the mirror. There is a focus point F on the axis behind the mirror and the center C of the mirrorâs curvature. An image is smaller, than the object, and is located closer than the focus point F and its tip is an intersection of the prolongations of the upper reflected ray and lower initial ray. The prolongation of the reflected rays run through point F for the upper ray and through point C for the lower ray.

В Image Object

Image Object

A Object Image

Object Image

Object Image

 

If a virtual image is formed 9.0 cm along the principal axis from aconvex mirror of focal length –15.0 cm, how far is the object fromthe mirror?

2. A woman looking in a makeup mirror sees her face at twice itsactual size and right-side up. If she is 26.0 cm from the mirror,what is its focal length?

3. Which of the following best describes the image of a concavemirror when the object is at a distance greater than twice thefocal point distance from the mirror?
a. virtual, upright and magnification greater than one
b. real, inverted and magnification less than one
c. virtual, upright and magnification less than one
d. real, inverted and magnification greater than one

4. A convex mirror with focal length of ?18 cm forms an image 12 cmbehind the surface. Where is the object located as measured fromthe surface?

5. A convex mirror with a focal length of ?18 cm forms an image 15cm behind the surface. If the object height is 1.2 cm what is theimage height?

6. An object placed 14 cm from a concave mirror produces a realimage 8.0 cm from the mirror. If the object is now moved to a newposition 18.0 cm from the mirror, where is the new image located asmeasured from the mirror?

7. When the reflection of an object is seen in a concave mirror theimage will:

8. A candle is 40.0 cm in front of a convex spherical mirror ofradius of curvature 70.0 cm. What are the image distance and themagnification, respectively?

9. An object is 16.0 cm from the surface of a spherical Christmastree ornament that is 8.00 cm in diameter. What is themagnification of the image?

10. A solid glass sphere with a radius of 6.00 cm and index ofrefraction of 1.50 has a small coin embedded 3.00 cm from the frontsurface of the sphere. For the viewer looking at the coin throughthe glass, at what distance from the front surface of the glassdoes the coin’s image appear to be located?

11. A glass block, for which n = 1.52, has a blemish located 4.5 cmfrom one surface. At what distance from that surface does the imageof the blemish appear to the outside observer?

12. An object of length 2.00 cm is inside a plastic block withindex of refraction 1.50. If the object is viewed from directlyabove, what is the length of its image?

13. An object is placed at a distance of 25 cm from a thin convexlens along its axis. The lens has a focal length of 10 cm. What arethe values, respectively, of the image distance andmagnification?
14. An object is placed at a distance of 50 cm from a thin lensalong the axis. If a real image forms at a distance of 35 cm fromthe lens, on the opposite side from the object, what is the focallength of the lens?

15. A contact lens is made of plastic with an index of refraction1.50. The lens has an outer radius of curvature of +2.0 cm and aninner radius of curvature of +2.5 cm. What is its focallength?

16. A Young’s double slit has a slit separation of 2.50 ? 10?5 m onwhich a monochromatic light beam is directed. The resultant brightfringes on a screen 2.00 m from the double slit are separated by2.30 ? 10?2 m. What is the wavelength of this beam? (1 nm = 10?9m)

17. A Young’s double-slit apparatus is set up so that a screen ispositioned 1.9 m from the double slits, and the spacing between thetwo slits is 0.040 mm. What is the distance between alternatingbright fringes on the screen if the light source has a wavelengthof 630 nm? (1 nm = 10?9 m)

18. The blue tint of a coated camera lens is largely caused by whateffects?

19. What is the minimum thickness of a glycerin film (n = 1.47) onwhich light of wavelength 650 nm shines that results inconstructive interference of the reflected light? Assume the filmis surrounded front and back by air.

20. Light of wavelength 560 nm is incident on a slit of width 0.150mm, and a diffraction pattern is produced on a screen that is 2.00m from the slit. What is the width of the central bright fringe? (1nm = 10?9 m)

21. Light of wavelength 610 nm is incident on a slit of width 0.25mm, and a diffraction pattern is produced on a screen that is 1.5 mfrom the slit. What is the distance of the second dark fringe fromthe center of the bright fringe? (1 nm = 10?9 m)

22. A multiple slit diffraction grating has a slit separation of2.50 ? 10?6 m. Find the wavelength of the monochromatic light thatwill have its second order bright fringe diffracted through anangle of 38.0°. (1 nm = 10?9 m)

23. A diffraction grating with 12 000 lines/cm will exhibit thefirst order maximum for light of wavelength 510 nm at what angle?(1 nm = 10?9 m)

24. A beam of unpolarized light in air strikes a flat piece ofglass at an angle of incidence of 58.0°. If the reflected beam iscompletely polarized, what is the index of refraction of theglass?

25. A beam of polarized light of intensity I0 passes through asheet of ideal polarizing material. The polarization axis of thebeam and the transmission axis of the sheet differ by 45°. What isthe intensity of the emerging light?

26. At what angle is the sun above the horizon if its light isfound to be completely polarized when it is reflected from the topsurface of a slab of glass (n = 1.65)?

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 45°,45°, and 90° is tobe used to turn a

beam of light through a 90° 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 Young’s double slitapparatus has theslit separation of

0.12mm and the distance between theslits and theviewing

screen is 55 cm.

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

through the slits, calculate thedistance betweenthe central

(bright) fringe and the adjacentbright fringe.

B) Now imagine that you are usingX-rays, λ=1x10–9minstead 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.

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