An astronomer who is studying the light from a galaxy has identifiedthe spectrum of hydrogen but finds that the wavelengths are somewhatshifted from those found in the laboratory. In the lab, the Ha line inthe hydrogen spectrum has a wavelength of 656.3 nm. The astronomeris using a transmission diffraction grating having 5758 lines/cm in thefirst order and finds that the first bright fringe for the Ha line occurs at-+23.41 from the central spot. How fast is the galaxy moving? Expressyour answer in m/s and as a percentage of the speed of light. Is the galaxymoving toward us or away from us?

Q: A single slit is illuminated by light of wavelengths la and lb,chosen so that the first diffraction…

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Q: A beam of light with a narrow wavelength range centered on 450 nm is incident perpendicularly on a…

A: Given:-  wavelength = 450 nm line density (N)= 1400 lines/cm width = 1.80 cm Find the smallest…

Q: What wavelength of light will have a first order maximum at an angle of 13.5o when viewed through a…

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Q: Consider the far-field diffraction pattern of a single slit of width 2.125 µm when illuminated…

A: The equation for the angular radius of the central peak as below. sinθ=2n+1λ2

Q: A physics professor wants to perform a lecture demonstration of Young’s double-slit experiment for…

A: Given, The distance from the source to the screen, D=5.0 m The wavelength, λ=633 nm  =633×10-9 m The…

Q: Consider a 470 nm wavelength blue light falling on a pair of slits separated by 0.035 mm. At what…

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Q: If 580-nm light falls on a slit 0.05 mm wide, what is the full angular width of the central…

A: The slit experiment mainly does diffraction of light which gives rise to a maximum point and a…

Q: Find the distance in nm  between two slits that produce the first minimum for 410nm violet light at…

A: we know that in case of differaction relation for minima is given by, dsinθ = mλ where m = no of…

Q: The yellow light from a sodium vapor lamp seems to be of pure wavelength, but it produces two…

A: Formula of diffraction grating is as follows: nλ=dsinθ…

Q: Calculate the angle at which a 2.00-μm -wide slitproduces its first minimum for 410-nm violet light.…

A: Given : width of the slit, a = 2.00-μm = 2 × 10-6 m             Wavelength of violet light, λ1 =…

Q: What is the width of a single slit that produces its first minimum at 60.0o for 600-nm light?

A: Formula of width of slit is as follows: asinθ=mλ…

Q: nt light with a mix of wavelengths 470 nm, 550 nm, and 665 nm onto a diffraction grating with a…

A: Given:- You shine coherent light with a mix of wavelengths 470 nm, 550 nm, and 665 nm onto a…

Q: A red laser from the physics lab is marked as producing632.8-nm light. When light from this laser…

A: It is given that, λ=632.8 nm

Q: (a) White light is spread out into its spectral components by a diffraction grating. If the grating…

A: Given Data: The silt separation is, d =1 cm The wavelength of red light is, λ=640 nm The wavelength…

Q: Find the angle for the third-order maximum for 580-nmwavelength yellow light falling on a…

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Q: Light of wavelength (6.760x10^2) nm falls on two slits and produces an interferenc pattern in which…

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Q: A diffraction grating has 2000 lines per centimeter. Atwhat angle will the first-order maximum be…

A: Given,

Q: Light from a star is spread to cover 1000 slits of grating whose distance from slit to slit is 2…

A: Given: Slit to slit distance (d) = 2 µm. = 2×10-6 m. First order spectrum range = 400 nm (λ1) to 750…

Q: A light with wave legnth 690nm shines on a pair of narrow slits separated by .133 mm with the…

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Q: In the single-slit diffraction experiment of the figure, let the wavelength of the light be 541 nm,…

A: (a)The angle between the P1 and P0 is,Substitute the values,

Q: What is the highest-order maximum for 400-nm lightfalling on double slits separated by 25.0 μm ?

A: Given:  distance between slits, d = 25 micro metre = 25 x 10-6 m  wavelength = 400 nm = 400 x 10-9 m

Q: When a student shines 580-nm yellow light at a double-slit arrangement, she finds that the…

A: Given data: Wavelength of the incident light is, λ= 580-nm = 580×10-9 m Position of the first order…

Q: Light of wavelength is incident on a slit of width d. Under what conditions is the ray approximation…

A: The wavelength is λ, and the width of the slit is d. Condition under which the ray approximation…

Q: What is the distance between lines on a diffraction gratingthat produces a second-order maximum for…

A: Given:  wavelength = 760 nm = 760 x 10-9 m  order, m = 2  angle = 60 degree

Q: The human eye can readily detect wavelengths from about 400 nm to 700 nm. If white light illuminates…

A: Given minimum wavelength of human =400nm  Maximum wavelength of humen =700nm  Number of lines N=870…

Q: Perhaps to confuse a predator, some tropical gyrinid beetles (whirligig beetles) are colored by…

A: Given information: Here, θ is the angle between the first-order maximum of either side, n is the…

Q: please help: A physics instructor wants to produce a double-slit interference pattern large enough…

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Q: The 305 m diameter Arecibo radio telescope detects radio waves with wavelengths from 3 to 100 cm.…

A: Write the expression for the angle between two-point sources and substitute the required values.

Q: You are observing the pattern of fringes in a Michelson interferometer. If you change the index of…

A: Yes. Changing the index of refraction changes the wavelength of the light inside the compensator…

Q: One leg of a Michelson interferometer contains an evacuated cylinder of length L, =0.30m having…

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Q: In a double-slit experiment, the third-order maximumfor light of wavelength 480 nm is located 16 mm…

A: Given: The wavelength of the wave is 480 nm. The location of the central bright 16 mm. The distance…

Q: Light of wavelength 500 nm, near the center of the visible spectrum, enters a human eye. Although…

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Q: In a single-slit diffraction experiment, what must be the ratio of the slit width to the wavelength…

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Q: In a two-slit Young's interference experiment, the aperture-to-screen distance is 2 m and wavelength…

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Q: What is the highest-order maximum for 383 nm light falling on double slits separated by 24.0 µm?

A: The wavelength of the light is, λ=383 nm=383×10-9 m The distance between the slits is, d=24…

Q: Yellow light has a wavelength l = 590 nm. How many of thesewaves would span the 1.35-mm thickness of…

A: wavelength = 590 nm  distance = 1.35 mm

Q: Suppose you pass light from a He-Ne laser through two slits separated by 0.0143 nm and find that the…

A: Separation between slits = 0.0143nm No. Of bright line = 3 θ= 22.95°

Q: When performing Young's double slit experiment, at what angle (in degrees) is the first-order…

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Q: Although we have discussed single-slit diffraction only for a slit, a similar result holds when…

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Q: If 680-nm light falls on a slit 0.0425 mm wide, what isthe angular width of the central diffraction…

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Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.