A source of light is suspended at height h = 1 cm above a mirror as shown in the figure (not to scale). The source produces waves of wavelength 500 nm. A viewing screen is placed at distance L = 100 m from the source. Rays from the source can reach the viewing screen either directly or indirectly through reflection, as shown. An interference pattern is observed on the viewing screen. Calculate the distance y to the first dark fringe abovę the mirror.
Q: Light is sent through a single slit of width w = 0.68 mm. On a screen, which is L = 1.1 m from the…
A:
Q: Oil film of thickness d = 5.06 um lies on surface of water, as shown in Figure 1. Monochromatic…
A:
Q: A thin film with a thickness of 460 nm is sandwiched between air and glass with refractive index of…
A: We have a thin film of thickness t=460 nm and refractive index n on which light of wavelength λ=650…
Q: A laser beam is incident on two slits with separation d = 0.048 mm. A screen is placed L = 2.4 m…
A: Given, Double slit diffraction pattern on the screen
Q: The below interference/diffraction pattern for two slits is observed on a screen that is 1.5 meters…
A:
Q: Consider a source of light with wavelength ? = 530 nm that shines on two identical narrow slits. The…
A: For destructive interference, the path difference should be an odd multiple of (λ/2). A) for…
Q: A thin film of cooking oil (n=1.43) is spread on a puddle of water (n=1.33). What is the minimum…
A: To find the next three thickness that will also strongly reflect blue light of the same wavelength,…
Q: In the figure, two isotropic point sources of light (S1 and S2) are separated by distance 3.20 um…
A:
Q: ng n1 n2 r4 i -L-
A: Given: Refraction index n1 = 1.59 Refraction index n2 = 1.52 Refraction index n3 = 1.53 Thickness of…
Q: Sound waves with frequency 4000 Hz and speed 350 m/s diffract through the rectangular opening of a…
A:
Q: Radio waves from a star, of wavelength 320 m, reach a radio telescope by two separate paths, as…
A:
Q: You are working as an expert witness for a district attorney. She wishes to know the diameter (in…
A:
Q: You are measuring the wavelength of light from a certain single-colour source. You direct the light…
A:
Q: A thin layer of glass (n = 1.50) floats on a transparent liquid (n = 1.34). The glass is illuminated…
A:
Q: You are looking straight at a soap bubble and it appears yellow-green; that is, you see constructive…
A:
Q: A rigid tank is divided into two compartments by a membrane. One compartment contains 22 kg of CO2…
A: Molecular weight of C02=44 KgAmount of CO2 present=22 kgNumber of moles of CO2 , nCO2=2244=0.5…
Q: A thin film of a liquid floats on ( therefore it is less dense) on a surface of water with n= 1.33.…
A:
Q: ht is λ = 4250 Å. θ1 and θ2 are the angles to the first and second bright fringes above the center…
A:
Q: Mirror M₁ in the figure below is moved through a displacement AL. During this displacement, 248…
A:
Q: Two coherent radio point sources separated by 2.0m are radiating in phase with a wavelength 2=0.50m.…
A: Solution:Condition for maxima in interference is given as path diffrence ∆ =nλ-1 where…
Q: The hard outer coating of many beetles has microscopic structures that produce amazing colors. In…
A: Let the given angles of the consecutive minima (m and m + 1) be denoted by θ1 and θ2, respectively.…
Q: A Martian leaves Mars in a spaceship that is heading to Venus. On the way, the spaceship passes…
A: GivenA Martian leaves Mars in a spaceship that is heading to Venus. On the way, the spaceship passes…
Q: A thin sheet of transparent material has an index of refraction of 1.40 and is 15.0 μm thick. When…
A: Four fringe shift will occur when the optical path in one arm of a Michelson’s interferometer…
Q: A thin film of oil (no = 1.5) with varying thickness floats on water (n = 1.33). When it is…
A: (a)At point A on the figure 24.60 the thickness of layer of oil is very small and is negligible as…
Q: Monochromatic light is shown through a diffraction grating that has 500 lines/ mm. After passing…
A: Distance between screen and grating = D = 0.75 m Grating contstant = d = 1/ 500 mm = 2× 10-6 m For,.…
Q: You are working with an electrical engineer who wants to send you messages with his microwave…
A: In this question we have to find the location of the first dark fringe on the wall. Please give…
Q: In the figure, two isotropic point sources of light (S1 and S2) are separated by distance 3.20 pm…
A: Given: Wavelength,λ=880nm=880×10-9mDistance between S1 to S2,y=3.20μm=3.20×10-6m Destructive…
Q: In the figure, two isotropic point sources of light (5, and S₂) are separated by distance 2.60 um…
A: distance of separation of two light sources, wavelength of light, Let, distance between
Q: A laser beam is incident on two slits with separation d = 0.026 mm. A screen is placed L = 2.2 m…
A:
Q: A grating has 1050 lines per centimetre, and a flat screen is perpendicular to the ray that makes…
A:
Q: A laser beam is incident on two slits with separation d = 0.026 mm. A screen is placed L = 3.2 m…
A: So the given situation is as follows:
Q: The walls of a soap bubble have about the same index of refraction as that of plain water, n = 1.33.…
A: The problem is asking for the wavelength of light that is most strongly reflected from a soap…
Q: The spacing between two slits is 5.90×10^-3 m in a Young's double slit experiment. The distance from…
A:
Q: A thin film of oil (n = 1.41) of thickness 422 nm with air on both sides is illuminated with white…
A:
Q: The phenomenon of diffraction occurs due to the tendency of waves to spread when they encounter an…
A: We will use conditions of diffraction of light through single slit for the first minima.
Q: A broad beam of light of wavelength 600 nm is sent directly downward through the glass plate (n =…
A: given, λ=600 nm=600×10-9 mng=1.41np=1.24 a. The thickness of wedge in the right end is t=mλ2seven…
Q: A perfectly flat piece of glass (n = 1.50) is placed over a perfectly flat piece of black plastic (n…
A: Given that : The refractive index of the glass n1=1.5 The refractive index of the glass n2=1.2 The…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- The following problem must be solved taking into consideration the modification given below: A student holds a laser that emits light of wavelength 545 nm. The laser beam passes though a pair of slits separated by 0.500 mm, in a glass plate attached to the front of the laser. The beam then falls perpendicularly on a screen, creating an interference pattern on it. The student begins to walk directly toward the screen at 2.00 m/s. The central maximum on the screen is stationary. Find the speed at which the 5th-order maxima changes its position on the screen. Do not use small angle approximation. Modification: Suppose there is a liquid in the space between the slits and the screen. Give such liquid any refractive index you desire (numerical value). Also suppose that the screen has a finite lenght (give another numerical value). Besides calculating the speed at which the 5th-order maxima changes its position on the screen also calculate the initial value of bright fringes according to the…A laser light source with wavelength λ = 545 nm is incident on a diffraction grating (as in the figure). The grating has 495 slits per mm. An observation screen is a distance L = 0.35 m from the grating. What is the separation between individual slits in the grating? Be careful with units: 1 nm = 10-9 m, 1 mm = 10-3 m, and 1 cm = 10-2 m. d = nm What is the distance y along the screen where the first-order diffraction peak is observed? y= cm source grating m=1In an interference experiment using a monochromatic source emitting light of wavelength 1, the fringes are produced by two long, narrow slits separated by a distance d. The fringes are formed on a screen which is situated at a distance D >> d.Write down an expression for the fringe width w. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. Use "lambda" (without the quotes) for 1 in the equation box. For example, use d*lambda for d2. Please use the "Display response" button to check you entered the answer you expect. w=
- A child is playing with a bubble wand, which is a large rectangular wire frame that contains a soap film. The child holds the wand vertically, which causes the film to be thinner at the top and thicker at the bottom, forming a wedge shape. Assume a thickness of essentially zero at the top. White light shines on the film with approximately normal incidence. The child views the reflected light from the film and sees the first violet interference band at a distance of 3.00 cm from the top edge of the film. The index of refraction of the soap film is the same as that of water, n = 1.33, and the wavelength of violet light is 1 = 403 nm. (a) At what distance (in cm) from the top edge of the film does the child see the first red (A = 666 nm) interference band? cm (b) What is the thickness (in nm) of the soap film at the location of the first violet interference band? nm What is the thickness (in nm) of the soap film at the location of the first red interference band? nm (c) What is the wedge…A thin film apparatus reflects normally incident light with indices of refraction of n =1.35, n, =1.50, and n, =1.35 for the incident light side material, the thin film material, 10. and the transmitted side material respectively. The reflected light from the n,,n, surface interferes with the light reflected by the n,,nțextrface. Find the third smallest thickness, L, for the thin film material that produces a maximum in the reflected light at an air wavelength of 2 = 540.0 nm .The rhinestones in costume jewelry are glass with index of refraction 1.50. To make them more reflective, they are often coated with a layer of silicon monoxide of index of refraction 2.00. What is the minimum coating thickness needed to ensure that light of wavelength 467 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference? Number Units
- What visible wave length will be reflected in this scenario: A 700 nm thick soap film floats on a plate. From the air, white light is struck onto the film at a normal incidence. the wavelength of visible light to air is 400 nm to 700 nm. The index of the soap film is 1.74 and 1.58 for the plate.A student performs a standard two-slit interference experiment and carefully sketches the observed interference pattern. The red colored pencil used by the student may not precisely match the actual color of the coherent light source. The position of the second-order maximum, corresponding to two full wavelengths of path difference from the two slits, is most nearly 35.0cm. The position of the third-order minimum of intensity, corresponding to two and one-half wavelengths of path difference for rays arriving from the two slits, is most nearly 43.8cm. 1. Given that the two narrow slits in the barrier are separated by 10.0μm10.0μm and the distance between the barrier and the screen is 2.55 m, what is the wavelength, in nanometers, of the coherent light source used to create the interference pattern? 2. The student wishes to repeat the using different slit separations. What is the smallest slit separation, in micrometers, that produces a first-order maximum? 3. The student wishes to…