Problem 2. In diffraction experiments involving multiple wavelengths of light passing through the same aperture, the...

Problem 2. In diffraction experiments involving multiple wavelengths of light passing through the same aperture, the higher order maxima of one wavelength can coincide with a lower order maxima of a longer wavelength. In the above diffraction experiment, the 3rd maxima of 600 nm light is found to coincide with the 4th maxima of a different wavelength of light. What is the other wavelength?

Expert Solution

Given m₃ = 3, ₃ = 600nm and m₄ = 4, ₄ = ?

We know that for a grating having grating element ( a + b ) the angle of diffraction in the m^th order spectrum for a light of wavelength is given by

( a + b ) sin() = m

for a given grating ( a + b ) is constant i.e., same aperture and hence will be the same when m is constant.

m = constant

=> m₃₃ = m₄₄

=> 3 x 600nm = 4 x ₄

=> ₄ = 450nm

the other wavelength is 450nm

genius_generous answered 1 year ago

1. Short wavelengths of light passed through a diffraction grating create fringes that are _____ than...

1. Short wavelengths of light passed through a diffraction grating create fringes that are _____ than long wavelengths of light. more spread out more compact brighter None of the above 12. The spacing of the diffraction pattern on a viewing screen does not depend on the distance from the diffraction grating to the screen. True False 2. A transmission diffraction grating produces a diffraction pattern with the first order angle at 35 degrees when light with a wavelength of 600...

Two colors of light, green and yellow, undergoes diffraction through the same diffraction grating. Which color...

Two colors of light, green and yellow, undergoes diffraction through the same diffraction grating. Which color of light sees greater diffraction angle? Both colors undergo the same diffraction angle. Green Yellow We will measure the spectra of helium, mercury and neon gas discharge tubes. True False Light is emitted when a valence electron moves from a lower state to an excited state. True False Light produced from spontaneous emission is incoherent. True False

Why is a diffraction grating better than a two-slit setup for measuring wavelengths of light?

Electrons pass through a 250-nm-diameter circular aperture, forming a diffraction pattern on a detector 1.2 m...

Electrons pass through a 250-nm-diameter circular aperture, forming a diffraction pattern on a detector 1.2 m behind the aperture. What is the kinetic energy of the electrons if the width of the central maximum is 0.37 mm?

Electrons pass through a 320-nm-diameter circular aperture, forming a diffraction pattern on a detector 80 cm...

Electrons pass through a 320-nm-diameter circular aperture, forming a diffraction pattern on a detector 80 cm behind the aperture. What is the kinetic energy of the electrons in eV if the width of the central maximum is 0.26 mm?

1/ Explain how the aperture geometry relates to the diffraction pattern. 2/ Predict how changing the...

1/ Explain how the aperture geometry relates to the diffraction pattern. 2/ Predict how changing the wavelength or aperture size affects the diffraction pattern.

A scientist shines a beam of white light through a diffraction grating (with 500linesmm), producing a...

A scientist shines a beam of white light through a diffraction grating (with 500linesmm), producing a diffraction pattern. The spectrometer only looks at the m=1 bright spot! (The m=2 spectrum will not fit in the view.) a) Calculate the distance d between individual slits (also called “lines”). b) The white light spreads into its component colors. For red light (=700nm), what is the diffraction angle θR (in degrees)? c) For violet light (=400nm), what is the diffraction angle θV (in...

Thomas young showed that light passing through two parallel narrow slits produce a pattern of light...

Thomas young showed that light passing through two parallel narrow slits produce a pattern of light and dark fringes. Did you support or contradict Newton's corpuscular theory of light?

An electric current through hydrogen gas produces several distinct wavelengths of visible light. a) What are...

An electric current through hydrogen gas produces several distinct wavelengths of visible light. a) What are the wavelengths of the hydrogen spectrum if they form first-order maximum at angles of 24.2, 25.7, 29.1 and 41.0 degrees when projected on a diffraction grating having 10,000 lines per cm? b) What do the minimum and maximum angles become if a 1000 line-per-cm diffraction grating is used? Sketch result. c) Discuss relationship between further reductions in lines-per-cm and the new angles for the...

1)What color of laser light shines through a diffraction grating with a line density of 500...

1)What color of laser light shines through a diffraction grating with a line density of 500 lines/mm if the third maxima from the central maxima (m=3) is at an angle of 45°? Show all work in your answer. Hint: Calculate the wavelength then use Table 1 to identify the color. 2) How would the interference pattern produced by a diffraction grating change if the laser light changed from red to blue?

Question