Concept explainers
In Fig. 35-54, two isotropic point sources S1 and S2 emit light at wavelength λ = 400 nm. Source S1 is located at y = 640 nm; source S2 is located at y = –640 nm. At point P1 (at x = 720 nm), the wave from S2 arrives ahead of the wave from S1 by a phase difference of 0.600Π rad. (a) What multiple of λ gives the phase difference between the waves from the two sources as the waves arrive at point P2, which is located at y = 720 nm? (The figure is not drawn to scale.) (b) If the waves arrive at P2 with equal amplitudes, is the interference there fully constructive, fully destructive, intermediate but closer to fully constructive, or intermediate but closer to fully destructive?
Figure 35-54 Problem 90.
Want to see the full answer?
Check out a sample textbook solutionChapter 35 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Additional Science Textbook Solutions
Matter and Interactions
Essential University Physics (3rd Edition)
Physics for Scientists and Engineers, Technology Update (No access codes included)
Cosmic Perspective Fundamentals
Conceptual Physical Science (6th Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
- In Figure P37.52, suppose the transmission axes of the left and right polarizing disks are perpendicular to each other. Also, let the center disk be rotated on the common axis with an angular speed . Show that if unpolarized light is incident on the left disk with an intensity Imax, the intensity of the beam emerging from the right disk is I=116Imax(1cos4t) This result means that the intensity of the emerging beam is modulated at a rate four times the rate of rotation of the center disk. Suggestion: Use the trigonometric identities cos2=12(1+cos2) and sin2=12(1cos2). Figure P37.52arrow_forwardTwo radio antennas separated by d = 3.00 102 cm. as shown in Figure P24.7, simultaneously broadcast identical signals at the same the signals. (a) If the car is at the position of the second maximum wavelength. A car travels due north along a straight line at position x = 1.00 103 m from the center point between the antennas and its radio receives the signal. (a) If the car is at the position of the second maximum after that at point O when it has traveled a distance of y = 4.00 102 m northward, what is the wavelength of the signals? (b) How much farther must the car travel from thus position to encounter the next minimum in reception? Hint: Do not use the small-angle approximation in this problem.arrow_forwardFigure P24.69 shows a radio-wave transmitter and a receiver, both h = 50.0 m above the ground and d = 6.00 102 m apart. The receiver can receive signals directly from the transmitter and indirectly from signals that bounce off the ground. If the ground is level between the transmitter and receiver and a /2 phase shift occurs upon reflection, determine the longest wavelengths that interior (a) constructively and (b) destructively. Figure P24.69arrow_forward
- Chapter 33, Problem 003 Z Your answer is partially correct. Try again. From the figure, approximate the (a) smaller and (b) larger wavelength at which the eye of a standard observer has half the eye's maximum sensitivity. What are the (c) wavelength, (d) frequency, and (e) period of the light at which the eye is the most sensitive? 100 80 60 40 20 400 450 500 550 600 650 700 Wavelength (nm) (a) Numbel o Units T510 Inm (b) Number Units Tnm 1610 (c) Numbel T550 Units Thm (d) Numbel545454550000000 Units THZ (e) Number Units p.00183 Relative sensitivityarrow_forwardIn the figure, assume two waves of light in air, of wavelength 407 nm, are initially in phase. One travels through a glass layer of index of refraction n = 1.62 and thickness L. The other travels through an equally thick plastic layer of index of refraction n2 = 1.36. (a) What is the smallest value L in meters should have if the waves are to end up with a phase difference of 5.26 rad? (b) If the waves arrive at some common point with thsame amplitude, is their interference fully constructive, fully destructive, intermediate but closer to fully constructive, or intermediate but closer to fully destructive? (a) Number i Units (b)arrow_forwardA strip of metal foil with a mass of 5.00 × 10-7 kg is suspended in a vacuum and exposed to a pulse of light. The velocity of the foil changes from zero to 1.00 × 10-3 m/s in the same direction as the initial light pulse, and the light pulse is entirely reflected from the surface of the foil. Given that the wavelength of the light is 450 nm, and assuming that this wavelength is the same before and after the collision, how many photons in the pulse collide with the foil?arrow_forward
- A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of ug = 1.6000 × 106 m/s. Relative to the center, the tangential speed is VT=0.3800 × 106 m/s for locations A and B, which are equidistant from the center. When the frequencies of the light coming from regions A and B are measured on earth, they are not the same and each is different from the emitted frequency of 8.366 x 10¹4 Hz. Find the measured frequency for the light from (a) region A and (b) region B. (Give your answer to 4 significant digits. Use 2.998 × 108 m/s as the speed of light.) A "TY (a) Number i Number i Galaxy ING Earth ד". B Units Unitsarrow_forwardTwo laser beams with wavelengths λ1 = 556 nm and λ2 = 604 nm are aimed at the same point. The electric field from each laser in the y-direction behaves as the function, Ei,y(x,t) = A(sin(2πfit - 2πx/λi) for i = 1 or 2, and they propagate at a speed of light c. Both fields have the same amplitude, A = 1 N/C. λ1 = 556 nmλ2 = 604 nm Find the value of the total electric field in the y-direction Ey, in newtons per coulomb, at a time of exactly one femtosecond (10-15 s) if the position the lasers is aimed at is exactly 100 nm away from each laser.arrow_forward10 mW of light is incident on a piece of GaAs which is 0.2mm thick. The incident light is a mixture of 5mW at λ1=1.553μm and 5mW at λ2=0.828μm. A total of 7mW mixed light exits out of the GaAs. Assume no reflections at the air/GaAs interface and any light generated by recombination won’t exit the GaAs. What are the absorption coefficients, α, for two different wavelengths?arrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning