Problem 1. Consider a microscope that uses ultraviolet light of frequency 1.351015Hz

a. Ignoring the details of the optical system, what is the approximate size, in meters, of the smallest feature observable through this microscope?

Problem 2. Consider an electromagnetic wave with a peak electric field strength of 110 V/m.

Randomized Variables E = 110 V/m

a. What is the average intensity of such an electromagnetic wave in W/m2?

Problem 3: A man stands in front of a vertical plane mirror. His eyes are 1.9 m above the floor and the top of his head is 0.15 m higher than that.

a. Find the height above the floor, in meters, of the bottom edge of the shortest mirror in which he can see both the top of his head and his feet. This height is denoted hb.

b. Find the height above the floor, in meters, of the top edge of the shortest mirror in which he can see both the top of his head and his feet. This height is denoted ht.

Problem 4: A flashlight is held at the edge of a swimming pool at a height h = 1.7 m such that its beam makes an angle of = 48 degrees with respect to the water's surface. The pool is d = 1.25 m deep and the index of refraction for air and water are n1 = 1 and n2 = 1.33, respectively.

Randomized Variables h = 1.7 m d = 1.25 m = 48 degrees

a. What is the horizontal distance, D, from the edge of the pool to the point on the bottom of the pool where the light strikes in meters?

Problem 5: You can determine the index of refraction of a substance by measuring its critical angle for total internal reflection.

Randomized Variables c,w = 73.4

Part (a) What is the index of refraction of a substance that has a critical angle of 73.4 when submerged in water (with index of refraction 1.333)?

Problem 6: Consider a camera whose lens has a 39.5 mm focal length.

a. What is the power P, in diopters, of the camera lens?

Problem 7. Some telephoto cameras use a mirror rather than a lens to magnify distant objects

a. What radius of curvature R, in meters, does the mirror need to have to replace a 950 mm focal length telephoto lens?

Problem 8: People who do very detailed work close up, such as jewellers, often can see objects clearly at much closer distance than the normal 25 cm.

Part (a) What is the power in D of the eyes of a woman who can see an object clearly at a distance of only 5.5 cm? Assume the distance to her retina from the lens in her eye is 2.00 cm.

Part (b) What is the size in mm of an image of a 1.15 mm object, such as lettering inside a ring, held at this distance?

Part (c) What would the size in mm of the image be if the object were held at the normal 25 cm distance?

Problem 9: Consider a patient who had laser vision correction that reduced the power of her eye by 6.5 D, producing normal distant vision for her.

Randomized Variables P = 6.5 D

a. What was the previous far point of a patient in meters? The power for normal far vision is 50.0 D. The distance of the image formation in the eye is 2.00 cm

Problem 10: The contact lens prescription for a mildly farsighted person is 0.75 D, and the person has a near point of 29.0 cm.

Randomized Variables Pc = 0.75 D

a. What is the power in D of the tear layer between the cornea and the lens if the correction is ideal, taking the tear layer into account? Assume that a normal human has a near point of 25.0 cm.

Problem 11: Consider a 0.12 cm focal length microscope objective that is 0.28 cm from the object being viewed.

Part (a) What magnification is being produced by the objective?

Part (b) What is the overall magnification if a 8x eypiece is used?

Problem 12: Suppose you have a telecsope with a 75 cm focal length objective and a 1.25 cm focal length eyepiece.

Randomized Variables fo = 75 cm fe = 1.25 cm

a. Find the distance in centimeters between the objective and eyepiece lenses in the telescope needed to produce a final image very far from the observer, where vision is most relaxed. Note that a telescope is normally used to view very distant objects.

PLEASE ANSWER ALL QUESTIONS THANK YOU!!!