Connect with LearnSmart for Krauskopf: The Physical Universe, 16e
16th Edition
ISBN: 9781259663895
Author: KRAUSKOPF, Konrad B.
Publisher: Mcgraw-hill Higher Education (us)
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Chapter 7, Problem 26MC
To determine
The features of the image formed of object close to a converging lens than focal length.
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Draw a right-handed 3D Cartesian coordinate system (= x, y and z axes). Show a vector A with
tail in the origin and sticking out in the positive x, y and z directions. Show the angles between A
and the positive x, y and z axes, and call these angles α₁, α₂ and α3
Prove that Ax Acos α₁
Ay
= Acos α₂
A₂- Acos α3
solve for Vo
Draw a third quadrant vector C. (remember that boldface characters represent vector
quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x-
axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally,
show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these
angles p1 and p2, repectively.
a) Prove the following formulas for the components of C involving the standard angle (hint:
start with the formulas for the components based on the angle & and then use (look up if
necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 =
3π/2-8 (this will switch cosine and sine around and eliminate - signs as well))
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C=Ccose
C₁=Csine
b) Prove the following formulas for the components of C:
C=Ccosp1
C=Ccosp2
Chapter 7 Solutions
Connect with LearnSmart for Krauskopf: The Physical Universe, 16e
Ch. 7 - Prob. 1MCCh. 7 - Prob. 2MCCh. 7 - Prob. 3MCCh. 7 - Prob. 4MCCh. 7 - Prob. 5MCCh. 7 - Prob. 6MCCh. 7 - Prob. 7MCCh. 7 - Prob. 8MCCh. 7 - Prob. 9MCCh. 7 - Six flutes playing together produce a 60-dB sound....
Ch. 7 - Prob. 11MCCh. 7 - Prob. 12MCCh. 7 - Maxwell based his theory of electromagnetic (em)...Ch. 7 - In a vacuum the speed of an em wave a. depends...Ch. 7 - Prob. 15MCCh. 7 - Prob. 16MCCh. 7 - Prob. 17MCCh. 7 - Light waves a. require air or another gas to...Ch. 7 - Prob. 19MCCh. 7 - The ionosphere is a region of ionized gas in the...Ch. 7 - Prob. 21MCCh. 7 - Prob. 22MCCh. 7 - Prob. 23MCCh. 7 - Prob. 24MCCh. 7 - Prob. 25MCCh. 7 - Prob. 26MCCh. 7 - Prob. 27MCCh. 7 - Prob. 28MCCh. 7 - Prob. 29MCCh. 7 - Prob. 30MCCh. 7 - Prob. 31MCCh. 7 - Prob. 32MCCh. 7 - Prob. 33MCCh. 7 - Thin films of oil and soapy water owe their...Ch. 7 - The sky is blue because a. air molecules are blue...Ch. 7 - Diffraction refers to a. the splitting of a beam...Ch. 7 - The useful magnification of a telescope is limited...Ch. 7 - Prob. 38MCCh. 7 - The speed of sound waves having a frequency of 256...Ch. 7 - The wavelength of sound waves having a frequency...Ch. 7 - Prob. 41MCCh. 7 - Prob. 42MCCh. 7 - Prob. 43MCCh. 7 - Prob. 44MCCh. 7 - Prob. 45MCCh. 7 - (a) Distinguish between longitudinal and...Ch. 7 - Prob. 2ECh. 7 - Water waves whose crests are 6 m apart reach the...Ch. 7 - Water waves are approaching a lighthouse at a rate...Ch. 7 - At one end of a ripple tank 90 cm across, a 6-Hz...Ch. 7 - A 1.2-MHz ultrasonic beam is used to scan body...Ch. 7 - Why does sound travel fastest in solids and...Ch. 7 - The speed of sound in a gas depends upon the...Ch. 7 - Even if astronauts on the moons surface did not...Ch. 7 - What eventually becomes of the energy of sound...Ch. 7 - A person is watching as spikes are being driven to...Ch. 7 - Prob. 12ECh. 7 - Find the frequency of sound waves in air whose...Ch. 7 - Prob. 14ECh. 7 - Prob. 15ECh. 7 - A violin string vibrates 1044 times per second....Ch. 7 - Prob. 17ECh. 7 - A double star consists of two nearby stars that...Ch. 7 - The characteristic wavelengths of light emitted by...Ch. 7 - Why are light waves able to travel through a...Ch. 7 - How could you show that light carries energy?Ch. 7 - Prob. 22ECh. 7 - Prob. 23ECh. 7 - Which of the following waves cannot be polarized:...Ch. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Visible light of which color has the lowest...Ch. 7 - A radar signal took 2.7 s to go to the moon and...Ch. 7 - An opera performance is being broadcast by radio....Ch. 7 - Prob. 30ECh. 7 - A nanosecond is 109 s. (a) What is the frequency...Ch. 7 - A radar sends out 0.05-s pulses of microwaves...Ch. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35ECh. 7 - Prob. 36ECh. 7 - Can the index of refraction of a substance be less...Ch. 7 - Prob. 38ECh. 7 - When a fish looks up through the water surface at...Ch. 7 - A flashlight at the bottom of a swimming pool...Ch. 7 - Prob. 41ECh. 7 - The olive in a cocktail (n = 1.35) seems to be 30...Ch. 7 - Prob. 43ECh. 7 - Prob. 44ECh. 7 - What is the difference between a real image and a...Ch. 7 - A coin is placed at a focal point of a converging...Ch. 7 - Prob. 47ECh. 7 - Prob. 48ECh. 7 - Prob. 49ECh. 7 - Prob. 50ECh. 7 - Prob. 51ECh. 7 - Prob. 52ECh. 7 - Prob. 53ECh. 7 - The candle of Exercise 53 is 15 cm from the lens....Ch. 7 - Prob. 55ECh. 7 - Prob. 56ECh. 7 - Prob. 57ECh. 7 - Prob. 58ECh. 7 - (a) What is the name of the defect of vision in...Ch. 7 - Prob. 60ECh. 7 - When white light is dispersed by a glass prism,...Ch. 7 - Prob. 62ECh. 7 - Prob. 63ECh. 7 - If the earth had no atmosphere, what would the...Ch. 7 - Prob. 65ECh. 7 - Prob. 66ECh. 7 - Prob. 67ECh. 7 - Prob. 68ECh. 7 - Radio waves are able to diffract readily around...Ch. 7 - A radar operating at a wavelength of 3 cm is to...Ch. 7 - Prob. 71ECh. 7 - At night the pupils of a certain womans eyes are 8...
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