Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Question
Chapter 25.3, Problem 3aTH
To determine
The number of slits in the mask
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Mirror M, in the figure below is moved through a displacement AL. During this displacement, 240 fringe reversals (formation of
successive dark or bright bands) are counted. The light being used has a wavelength of 634.8 nm. Calculate the displacement AL.
39.6
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your
calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. µm
A single ray of light is
split into two rays by
mirror M, which is
called a beam splitter.
Light
source
The path difference between
the two rays is varied with the
adjustable mirror M1.
M1
Telescope
Mo
As M1 is moved, an
interference
M2
pattern changes in
the field of view.
Need Help?
Read It
Master It
What type of diffraction grating should I use so that when sunlight falls on it, I will get all the colors of the rainbow with maximum separation? Give your answer in lines/cm. The visible spectrum goes from 380 nm to 750 nm
Sketch the situation, defining all your variables.
What physics equation(s) will you utilize in order to solve this problem? For each equation you list, give a justification for why it applies to this situation.
Apply your equation(s) to solve, first for an algebraic expression(s), then for any numerical answer(s). Show the units of your answer(s), and how you got them.
Assume the figure below was photographed with red light of a single wavelength i. The light passed through a single slit of width
a and traveled distance L to the screen where the photograph was made. Consider the width of the central bright fringe,
measured between the centers of the dark fringes on both sides of it. Rank from largest to smallest the widths of the central
fringe in the following situations and note any cases of equality. (Use only ">" or "=" symbols. Do not include any parentheses
around the letters or symbols.)
(a) The experiment is performed as photographed.
(b) The experiment is performed with light whose frequency is increased by 50%.
(c) The experiment is performed with light whose wavelength is increased by 50%.
(d) The experiment is performed with the original light and with a slit of width 2a.
(e) The experiment is performed with the original light and slit and with distance 2L to the screen.
Need Help?
Read It
Chapter 25 Solutions
Tutorials in Introductory Physics
Ch. 25.1 - The top view diagram at right illustrates two...Ch. 25.1 - The top view diagram at right illustrates two...Ch. 25.1 - Label each nodal line and line of maximum...Ch. 25.1 - Prob. 2bTHCh. 25.1 - How do the angles a and ß compare? Explain.Ch. 25.1 - Prob. 3bTHCh. 25.1 - Prob. 3cTHCh. 25.1 - The enlarged diagram at right illustrates the...Ch. 25.1 - For what values of D (in terms of ) will there be:...Ch. 25.1 - Use your answers from parts d and e to write...
Ch. 25.1 - Determine the angles for which there will be nodal...Ch. 25.1 - Consider the following incorrect statement...Ch. 25.2 - In the space above the photograph at right,...Ch. 25.2 - The screen is 2.2m from the slits, and the...Ch. 25.2 - Suppose that the width of the right slit were...Ch. 25.2 - The graph of intensity versus angle at right...Ch. 25.3 - The photograph at right illustrates the pattern...Ch. 25.3 - The photograph at right illustrates the pattern...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Prob. 3aTHCh. 25.3 - Monochromatic light from a distant point source...Ch. 25.4 - Light from a distant point source is incident on a...Ch. 25.4 - The graph at right shows the intensity on a...Ch. 25.4 - The graph at right shows the intensity on a...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Light from a laser (=633nm) is incident on two...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.6 - Recall the situation from tutorial, in which light...Ch. 25.6 - Recall the situation from tutorial, in which light...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.7 - Identical beams of light are incident on three...Ch. 25.7 - Prob. 1bTHCh. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...
Knowledge Booster
Similar questions
- A simple cubic crystal is illuminated with X- ray of wavelength 0.09 nm at a glance angle. The crystal is rotated and the angles at which Bragg reflection occurs are measured. 1. Which set of crystal plane will give the smallest angle for first - order reflection? Explain in details your answer. 2. If this angle is 8.9°, determine the spacing between these planes. 3. At what angle will first-order reflection be obtained from the (110) crystal planes? Will there be any higher order reflection from this plane?arrow_forwardFor an aperture of width 1mm and using light of wavelength of 633 nm, estimate the distance from the aperture at which the Faunhofer approximation would be appropriate. a. Under the Fraunhofer condition, what would be the angle of the first minimum? b. If the screen is 1m away, how far from the central maximum would the first minimum be located?arrow_forwardSunlight is incident normally upon a 0.86 μm thick layer of olive oil (index of refraction 1.46) floating on top of a large quantity of red wine vinegar (index ratio 1.30) . Which visible wavelength(s) are strongly reflected? The visible spectrum goes from 380 nm to 750 nm. PLEASE PLEASE sketch the diagram/situation, define all variables. Thank you!arrow_forward
- Use the worked example above to help you solve this problem. If the spacing between certain planes in a crystal of calcite (CaCO3) is 0.313 nm, find the grazing angles at which first- and third-order interference will occur for x-rays of wavelength 0.0709 nm. 0₁ 02 Oarrow_forwardReflection by thin layers. In the figure, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays rį and r2 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). The table below provides the indexes of refraction n1, n2, and ng, the type of interference, and the thinlayer thickness L in nanometers. Give the wavelength that is in the visible range. ng n1 n2 n3 Type L Aarrow_forwardReflection by thin layers. In the figure, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays r, and r2 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). The table below provides the indexes of refraction n, n2, and ng, the type of interference, and the thinlayer thickness Lin nanometers. Give the wavelength that is in the visible range. n1 n2 n3 Type L A 1.42 1.54 1.81 min 221 Number i 3.40e+2 Units nm MacBook Proarrow_forward
- Use the following information for the Gas Identification part of the lab. The data below are angles that might be recorded by a student using a spectrometer to map bright lines in the emission spectrum of some unknown gas. Be sure to record both the gas ID number and the diffraction grating constant (slit spacing) to be used in the analysis. In the answer field below, convert the first m=1 angle entry above to the corresponding wavelength expressed in nanometres. PLEASE SHOW THE STEPS FOR HOW TO CALCULATEarrow_forwardThe figure to the right shows 3 different situations where light (normal to the surface) is reflected off the two interfaces of a thin film. Rank these in ascending order of the number of phase inversions. Explain your logic.arrow_forwardThe figure below shows a radio-wave transmitter and a receiver, both h = 49.0 m above the ground and d = 510 m apart. The receiver can receive signals directly from the transmitter and indirectly from signals that bounce off the ground. Transmitter Receiver (a) If the ground is level between the transmitter and receiver and a 1/2 phase shift occurs upon reflection, determine the longest wavelengths that interfere constructively. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m (b) If the ground is level between the transmitter and receiver and a 1/2 phase shift occurs upon reflection, determine the longest wavelengths that interfere destructively. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. marrow_forward
- Consider the following relative intensity graph for a double-slit experiment. The wavelength of the light used was λ = 633 nm. 1 0.8 0.6 0.4 0.2 0 0 (radians) Determine the width of the slits and the distance between the slits. Clearly indicate which features of the graph you are using to make your determination. You may have already noticed that the maxima are (approximately) 0.01 radians apart. except that there are no maxima at 8 = 0.05 radians or = 0.10 radians. How can you account for these "missing" maxima? (Hint: Consider how the relative intensity graph would be different if the width of the slits were decreased.)arrow_forwardA two-slit pattern is viewed on a screen 1.30 m from the slits. Part A If the two third-order minima are 25.0 cm apart, what is the width of the central bright fringe? Express your answer to three significant figures. IVE ΑΣΦ I= Sw ? cmarrow_forwardSuppose that the simulated light source was polychromatic, with both a red and a yellow component, as shown on the right. How easy would it be to identify the positions (yP ) of the separate red and yellow interference maxima? Can you think of a change in the appearance of the interference pattern of each individual wavelength that, were it to happen, would help to distinguish the red from the yellow peaks?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill