If a telescope has objective and eyepiece lenses with focal lengths respectively of 136 cm and 2.95 cm, determine the distance needed between these two lenses in order to produce a final image far from the observer (where vision is most relaxed) when viewing a very distant object. cm

If a telescope has objective and eyepiece lenses with focal lengths respectively of 124 cm and 2.50 cm, determine the distance needed between these two lenses in order to produce a final image far from the observer (where vision is most relaxed) when viewing a very distant object. cm Additional Materials | Reading

a) Show that an infinitesimal change dn of the refractive index of the material of a thin lens leads to an infinitesimal change df of the focal distance, i.e., show that: df f dn n-na (1) where na is the refractive index of air. 1.530) using a discrete b) Calculate the focal distance of a thin lens for blue light (with n= version of the upper equation if the focal distance for red light (with n = 1.470) is 20.0 cm (na = 1.000).

(a) If your relaxed eye has a refractive power of 55.1 D, and your lens-to-retina distance is 2.35 cm, determine if you are near or far sighted.nearsightedfarsighted (b) If you are nearsighted, determine your far point. If you are farsighted, determine your near point.cm

e) erect and 0.489 times the A nearsighted man uses his ideally prescribed eyeglasses that have a refractive power of -1.95 diopters. He would like a prescription for contact lenses. What is the correct contact lens prescription if he normally wears his eyeglasses a distance of 1.32 cm from his eyes? a) -1.90 diopters b) -2.10 diopters c) 1.90 diopters 16. d) -2.00 diopters e) 2.00 diopters n00 mirror as shown

1. A patient enters an eye doctor’s office and finds the doctor tells him that his near point is 10.0 cm. The doctor also finds the patient’s far point (with eyes relaxed) is 125 cm. Each eye lens can be assumed to be 2.00 cm from the retina. a) Between what limits (units: diopters) does the power of this patient’s lens (technically lens+cornea combination) vary? b) The doctor is going to prescribe glasses. Calculate the power of the eyeglass lens the patient should use for relaxed distance vision. Is the lens converging or diverging?

Two lenses (f1=100 mm, f2=-150 mm) are used to form an image of a candle on an observation screen. The distance between the lenses is kept small and is measured to be 3.5 cm. The distance of the candle from the center  of both lenses is measured to be 82 cm. The distance of the image from the center of both lenses is measured to be 22 cm.  (i) What are the experimental focal length of the two combined lenses? (a) 60 mm   (b)1040 mm  (c) 576.43 mm (d) 173.47 mm (ii) What are the theoretical focal lengths of the two combined lenses? (a) -50 mm  (b) 176.47 mm  (c) 280.37 mm  (d) 52.63 mm

Example 23-9 : Image formed by a converging lens. What are (a) the position, and (b) the size, of the image of a 7.6-cm-high leaf placed 1.00 m from a +50.0-mm-focal-length camera lens?

4. (b) You find two positive lenses fi=5.0 cm and f2 =30 cm from the storage room. How would you arrangefor them to construct a telescope? What is the magnification of your telescope? Is the image upright orinverted?

3) A lens has a refractive index of 1.30. In air, it is a converging lens. Will it still be a converging lens if placed under water? Explain using a ray diagram.