
Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Question
Chapter 33, Problem 26Q
To determine
The difference in the focal lengths of the converging and diverging lens for the red light and violet light.
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Sketch the harmonic.
Chapter 33 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 33.2 - If the leaf (object) of Example 332 is moved...Ch. 33.2 - Figure 3313 shows a converging lens held above...Ch. 33.4 - A Lucite planoconcave lens (sec Fig. 332b) has one...Ch. 33.6 - What power contact lens is needed for an eye to...Ch. 33.8 - A 40 telescope has a 1.2-cm focal length eyepiece....Ch. 33 - Where must the film be placed if a camera lens is...Ch. 33 - A photographer moves closer to his subject and...Ch. 33 - Can a diverging lens form a real image under any...Ch. 33 - Use ray diagrams to show that a real image formed...Ch. 33 - Light rays are said to be reversible. Is this...
Ch. 33 - Can real images be projected on a screen? Can...Ch. 33 - A thin converging lens is moved closer to a nearby...Ch. 33 - Compare the mirror equation with the thin lens...Ch. 33 - A lens is made of a material with an index of...Ch. 33 - Explain how you could have a virtual object.Ch. 33 - A dog with its tail in the air stands facing a...Ch. 33 - A cat with its tail in the air stands facing a...Ch. 33 - The thicker a double convex lens is in the center...Ch. 33 - Does the focal length of a lens depend on the...Ch. 33 - An underwater lens consists of a carefully shaped...Ch. 33 - Consider two converging lenses separated by some...Ch. 33 - Will a nearsighted person who wears corrective...Ch. 33 - You can tell whether people are nearsighted or...Ch. 33 - The human eye is much like a camerayet, when a...Ch. 33 - In attempting to discern distant details, people...Ch. 33 - Is the image formed on the retina of the human eye...Ch. 33 - Reading glasses use converging lenses. A simple...Ch. 33 - Why must a camera lens be moved farther from the...Ch. 33 - Spherical aberration in a thin lens is minimized...Ch. 33 - Prob. 26QCh. 33 - (I) A sharp image is located 373 mm behind a...Ch. 33 - (I) Sunlight is observed to focus at a point 18.5...Ch. 33 - (a) What is the power of a 23.5-cin-focal-length...Ch. 33 - (II) A certain lens focuses an object 1.85m away...Ch. 33 - (II) A 105-mm-focal-length lens is used to focus...Ch. 33 - (II) A stamp collector uses a converging lens with...Ch. 33 - (II) It is desired to magnify reading material by...Ch. 33 - (II) A 8.00-D lens is held 12.5 cm from an ant...Ch. 33 - (II) An object is located 1.50 m from an 8.0-D...Ch. 33 - (II) (a) How far from a 50.0-mm-focal-length lens...Ch. 33 - (II) How far from a converging lens with a focal...Ch. 33 - (II) (a) A 2.80-cm-high insect is 1.30 m from a...Ch. 33 - (II) A bright object and a viewing screen are...Ch. 33 - (II) How far apart are an object and an image...Ch. 33 - (II) Show analytically that the image formed by a...Ch. 33 - (II) In a slide or movie projector, the film acts...Ch. 33 - (III) A bright object is placed on one side of a...Ch. 33 - (III) (a) Show that the lens equation can be...Ch. 33 - (II) A diverging lens with f = 33.5cm is placed...Ch. 33 - (II) Two 25.0-cm-focal-length converging lenses...Ch. 33 - (II) A 34.0-cm-focal-lenglh converging lens is...Ch. 33 - (II) The two converging lenses of Example 335 are...Ch. 33 - (II) A diverging lens with a focal length of 14 cm...Ch. 33 - (II) Two lenses, one converging with focal length...Ch. 33 - (II) A diverging lens is placed next to a...Ch. 33 - (II) A lighted candle is placed 36 cm in from of a...Ch. 33 - (I) A double concave lens has surface radii of...Ch. 33 - (I) Both surfaces of a double convex lens have...Ch. 33 - (I) Show that if the lens of Example 33-7 is...Ch. 33 - (I) A planoconvex lens (Fig. 33-2a) is to have a...Ch. 33 - (II) An object is placed 90.0cm from a glass lens...Ch. 33 - (II) A prescription for a corrective lens calls...Ch. 33 - (I) A properly exposed photograph is taken at f...Ch. 33 - (I) A television camera lens has a 17-cm focal...Ch. 33 - (II) Suppose that a correct exposure is 1250S at f...Ch. 33 - (II) A nature photographer wishes to photograph a...Ch. 33 - (I) A human eyeball is about 2.0 cm long and the...Ch. 33 - (II) A person struggles to read by holding a book...Ch. 33 - (II) Reading glasses of what power are needed for...Ch. 33 - (II) If the nearsighted person in Example 33-13...Ch. 33 - (II) An eye is corrected by a 4.50-D lens, 2.0cm...Ch. 33 - (II) A persons right eye can see objects clearly...Ch. 33 - (II) A person has a far point of 14 cm. What power...Ch. 33 - (II) One lens of a nearsighted persons eyeglasses...Ch. 33 - (II) What is the focal length of the eye lens...Ch. 33 - (II) A nearsighted person has near and far points...Ch. 33 - (II) The closely packed cones in the fovea of the...Ch. 33 - (II) What is the focal length of a magnifying...Ch. 33 - (II) What is the magnification of a lens used with...Ch. 33 - (II) A magnifier is rated at 3.0 for a normal eye...Ch. 33 - (II) Sherlock Holmes is using an...Ch. 33 - (II) A small insect is placed 5.85 cm from a...Ch. 33 - (II) A 3.40-mm-wide holt is viewed with a...Ch. 33 - (II) A magnifying glass with a focal length of...Ch. 33 - (II) A magnifying glass is rated at 3.0 for a...Ch. 33 - (II) A converging lens of focal length = 12 cm is...Ch. 33 - (I) What is the magnification of an astronomical...Ch. 33 - (I) The overall magnification of an astronomical...Ch. 33 - (II) A 7.0 binocular has 3.0-cm-focal-length...Ch. 33 - (II) An astronomical telescope has an objective...Ch. 33 - (II) An astronomical telescope has its two lenses...Ch. 33 - (II) A Galilean telescope adjusted for a relaxed...Ch. 33 - (II) What is the magnifying power of an...Ch. 33 - (II) The Moons image appears to be magnified 120...Ch. 33 - (II) A 120 astronomical telescope is adjusted for...Ch. 33 - (II) An astronomical telescope longer than about...Ch. 33 - (III)A reflecting telescope (Fig. 3338b) has a...Ch. 33 - (III) A 7.5 pair of binoculars has an objective...Ch. 33 - (I) A microscope uses an eyepiece with a focal...Ch. 33 - (I) A 680 microscope uses a 0.40-cm-focal-length...Ch. 33 - (I) A 17-cm-long microscope has an eyepiece with a...Ch. 33 - (II) A microscope has a 13.0 eyepiece and a 58.0...Ch. 33 - (II) Repeat Problem 75 assuming that the final...Ch. 33 - (II) A microscope has a 1.8-cm-focal-length...Ch. 33 - (II) The eyepiece or a compound microscope has a...Ch. 33 - (II) An inexpensive instructional lab microscope...Ch. 33 - (III) Given two 12-cm-focal-length lenses, you...Ch. 33 - (II) A planoconvex lens (Fig. 332a) has one nut...Ch. 33 - (II) An achromatic lens is made of two very thin...Ch. 33 - A 200-mm-focal-lcngth lens can be adjusted so that...Ch. 33 - If a 135-mm telephoto lens is designed to cover...Ch. 33 - For a camera equipped with a 58-mm-focal-length...Ch. 33 - Show that for objects very far away (assume...Ch. 33 - A small object is 25.0 cm from a diverging lens as...Ch. 33 - A converging lens with focal length of 13.0cm is...Ch. 33 - An astronomical telescope has a magnification of...Ch. 33 - (a) Show that if two thin lenses of focal lengths...Ch. 33 - How large is the image of the Sun on film used in...Ch. 33 - Two converging lenses are placed 30.0 cm apart....Ch. 33 - When an object is placed 60.0 cm from a certain...Ch. 33 - Figure 33-49 was taken from the NIST Laboratory...Ch. 33 - A movie star catches a reporter shooting pictures...Ch. 33 - As curly morning passed toward midday, and the...Ch. 33 - A child has a near point of 15 cm. What is the...Ch. 33 - A woman can see clearly with her right eye only...Ch. 33 - What is the magnifying power of a +4.0-D lens used...Ch. 33 - A physicist lost in the mountains tries to make a...Ch. 33 - A 50-year-old man uses +2.5-D lenses to read a...Ch. 33 - An object is moving toward a converging lens of...Ch. 33 - The objective lens and the eyepiece of a telescope...Ch. 33 - Two converging lenses, one with f = 4.0 cm and the...Ch. 33 - Sam purchases +3.50-D eyeglasses which correct his...Ch. 33 - The proper functioning of certain optical devices...Ch. 33 - In a science-fiction novel, an intelligent...Ch. 33 - A telephoto lens system obtains a large...
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