Concept explainers
(a)
The linear distance on the screen between the central maximum and the
(a)
Answer to Problem 14PQ
Therefore the linear distance on the screen between the central maximum and the
Explanation of Solution
Write the expression for the path difference for bright fringes in young’s double slit experiment.
Here,
Calculate the angle made by a particular interference fringe on the screen from the central maximum.
Here,
For small angle approximation
Substitute
Conclusion:
Substitute
Therefore the linear distance on the screen between the central maximum and the
(b)
The linear distance on the screen between the central maximum and the
(b)
Answer to Problem 14PQ
The linear distance on the screen between the central maximum and the
Explanation of Solution
Write the expression for the path difference for dark fringes in young’s double slit experiment.
Here,
Consider the equation (II)
Here,
Conclusion:
Substitute
Substitute
Therefore, the linear distance on the screen between the central maximum and the
(c)
Whether the minima are evenly spaced.
(c)
Answer to Problem 14PQ
No, the minima are not evenly spaced.
Explanation of Solution
No, the minima are not evenly spaced. The fringes with small angles have equal separation but when the integer n increases the separation between the subsequent minima increases. That is why the
Want to see more full solutions like this?
Chapter 35 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- (a) What is the minimum angular spread of a 633-nm wavelength He-Ne laser beam that is originally 1.00 mm in diameter? (b) If this laser is aimed at a mountain cliff 15.0 km away, how big will the illuminated spot be? (c) How big a spot would be illuminated on the Moon, neglecting atmospheric effects? (This might be done to hit a corner reflector to measure the round-trip time and, hence, distance.) Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Optics.arrow_forwardX-rays incident on a crystal with planes of atoms located 0.378 nm apart produce a diffraction pattern in which a first-order maximum is observed at an angle of 14.2. a. What is the wavelength of the X-rays incident on the crystal? b. How many orders are visible in the diffraction pattern?arrow_forwardA hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm. (a) If light from this lamp falls on a N slits separated by 0.025 mm, how far from the central maximum are the third maxima when viewed on a screen 2.0 m from the slits? (b) By what distance are the second and third maxima separated for l=486 nm?arrow_forward
- 1. Suppose you pass light from a Laser through two slits separated by 4.16 um and found that the second bright line on a screen is formed at an angle of 13 deg relative to the incident beam. a. What is the wavelength of the light? b. What is the enegy gap in eV c. What is the highest-order constructive interference possible with the system?arrow_forwardA physician wants to shine a therapeutic Nd YAG laser through a small slit onto a patient who is 37 cm behind the slit. What maximum size slit could she use so that there would be no intensity minima in the light that falls on the patient? The infrared wavelength of the YAG laser is 1064 nm. PLEASE PLEASE draw the diagram/situation and define variables THank you!!arrow_forward1. O -12 points SerPSE9 38.P.001.MI.FB. My Notes O Ask Your Teacher Light of wavelength 588.0 nm illuminates a slit of width 0.80 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.89 mm from the central maximum? m (b) Calculate the width of the central maximum. mm Need Help? Read It Master It 2. O -11 points SerPSE9 38.P.005. My Notes + Ask Your Teacher Coherent microwaves of wavelength 5.00 cm enter a tall, narrow window in a building otherwise essentially opaque to the microwaves. If the window is 45.0 cm wide, what is the distance from the central maximum to the first-order minimum along a wall 6.50 m from the window? cm Need Help? Read It 3. -/1 points SerPSE9 38.P.007.MI.FB. My Notes Ask Your Teacher A screen is placed 60.0 cm from a single slit, which is illuminated with light of wavelength 690 nm. If the distance between the first and third minima in the diffraction pattern is 3.10 mm, what is the width of…arrow_forward
- 1. a. If a piece of glass (n = 1.5) is coated with a transparent plastic (n = 2.0), will there be a phase shift in either of the beams reflecting off the interfaces (air/plastic and plastic/glass)? How can you tell, without doing the experiment, whether or not there will be a phase shift in either beam? Be specific about what rays are reflecting off what materials. b. So what thickness or thicknesses give the maximum reflection? What thickness or thicknesses (hint: it's thicknesses) give the minimum reflection? Assume that a light of wavelength 500. nm is used, and you may leave the answer in nm. Yes, this is a choice between equations 35.17 and 35.18, but your answer to part a should be helpful in deciding which set.arrow_forwardIf the width of the slit is increased in a single slit diffraction experiment, the light intensity pattern becomes laser will be Given a constant slit width, the light intensity pattern from a 700 nm than the pattern from a 400 nm laser. Select one: SMIV IMIIW b. narrower, wider c. wider, narrower d. narrower, narrower e. wider, widerarrow_forwardA laser beam with wavelength λ = 675 nm hits a grating with n = 4750 grooves per centimeter. A. Calculate the grating spacing, d, in centimeters. B. Find the sin of the angle, θ2, at which the 2nd order maximum will be observed, in terms of d and λ. C. Calculate the numerical value of θ2 in degrees.arrow_forward
- Problem 2. A) A Michelson interferometer uses light of wavelength 500 nm. The irradiance of the beam exiting the laser is IL. What are the possible differences in the lengths of the arms of the interferometer when the irradiance at the detector is IL/3? B) Young's Double slit experiment is performed with HeNe laser wavelength 632.8 nm. The screen is 2 m from the slits and the slit separation is 0.2 mm. Find the distance of the 3th bright fringe from the center of the interference pattern on the screen (call the central bright fringe the "Oth" fringe).arrow_forwardLight from the He-Ne laser of wavelength 633 nm passes through a circular aperture. It is observed on a screen 2.00 m behind the aperture. The width of the central maximum is 3.40 cm what is the diameter of the hole? A. 45.4 micro meters B. 90.9 micro meters C. 3.40 centi meters D. 74.5 micro meters E. 633 nano metersarrow_forwardA thin film of polystyrene n=1.49 coats a piece of glass n=1.55. When illuminated from above, the dominant color of the light reflected to the observer is 473 nanometers wich is blue. What is the minimum thickness of the thin film? A. 317 nm B. 153 nm C. 159 nm D. 305 nm E. 79.4 nmarrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning