Explanation Bragg’s law of diffraction gives the relation between the scatering angle, wavelength of light and the distance between the slits. Write the expression for the condition of diffraction minima. sin θ = m λ d Rearrange the above expression for scattering angle. θ = sin − 1 m λ d (I) Here, θ is the scattering angle for m t h order diffraction, d is the slit width and m is the diffraction order. Write the expression for the number of lines per centimeter. n = 1 d Rearrange the above expression for slit width. d = 1 n (II) Here, n is the number of lines present in the grating Write the expression for the angular separation. Δ θ = θ 2 − θ 1 (III) Here, θ 2 is the scattering angle for second wavelength and θ 1 is the scattering angle for first wavelength. Conclusion: Substitute 8100 lines/cm for n in equation (II). d = 1 8100 lines/cm = 1.23 × 10 − 4 cm ( 1 m 10 2 cm ) = 1.23 × 10 − 6 m Substitute 1 for m , 656 nm for λ and 1.23 × 10 − 6 m for d in equation (I). θ 2 = sin − 1 ( 1 ) ( 656 nm ) ( 1

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Question

Chapter 35, Problem 70GP

To determine

The angular separation in the first order spectrum for the two wavelengths.

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Chapter 35, Problem 69GP

Chapter 35, Problem 71GP

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Chapter 35 Solutions

EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST

Ch. 35.1 - Single-slit diffraction maximum. Light of...Ch. 35.4 - Green light (550 nm) passes through a...Ch. 35.5 - What is the resolving power of a microscope with a...Ch. 35.10 - Prob. 1DE Ch. 35.11 - CONCEPTUAL EXAMPLE 3514 Three Polaroids. We saw in...Ch. 35 - Radio waves and light are both electromagnetic...Ch. 35 - Hold one hand close to your eye and focus on a...Ch. 35 - Explain why diffraction patterns are more...Ch. 35 - For diffraction by a single slit, what is the...Ch. 35 - Describe the single-slit diffraction pattern...

Ch. 35 - What happens to the diffraction pattern of a...Ch. 35 - In the single-slit diffraction pattern, why does...Ch. 35 - Discuss the similarities, and differences, of...Ch. 35 - Figure 3510 shows a two-slit interference pattern...Ch. 35 - When both diffraction and interference are taken...Ch. 35 - Does diffraction limit the resolution of images...Ch. 35 - Give at least two advantages for the use of large...Ch. 35 - Atoms have diameters of about 108 cm. Can visible...Ch. 35 - Which color of visible light would give the best...Ch. 35 - Could a diffraction grating just as well be called...Ch. 35 - Suppose light consisting of wavelengths between...Ch. 35 - What is the difference in the interference...Ch. 35 - White light strikes (a) a diffraction grating and...Ch. 35 - Explain why there are tiny peaks between the main...Ch. 35 - What does polarization tell us about the nature of...Ch. 35 - How can you tell if a pair of sunglasses is...Ch. 35 - Prob. 23Q Ch. 35 - (I) If 680-nm light falls on a slit 0.0365 mm...Ch. 35 - (I) Monochromatic light falls on a slit that is...Ch. 35 - (II) Light of wavelength 580 nm falls on a slit...Ch. 35 - (II) Consider microwaves which are incident...Ch. 35 - (II) If parallel light falls on a single slit of...Ch. 35 - (II) Monochromatic light of wavelength 633 nm...Ch. 35 - (II) If a slit diffracts 580-nm light so that the...Ch. 35 - (II) (a) For a given wavelength , what is the...Ch. 35 - (II) When blue light of wavelength 440 nm falls on...Ch. 35 - (II) A single slit 1.0 mm wide is illuminated by...Ch. 35 - (II) Coherent light from a laser diode is emitted...Ch. 35 - (II) If you double the width of a single slit, the...Ch. 35 - (II) Light of wavelength 750 nm passes through a...Ch. 35 - (II) If a double-slit pattern contains exactly...Ch. 35 - (II) Design a double-slit apparatus so that the...Ch. 35 - (II) 605-nm light passes through a pair of slits...Ch. 35 - (II) Two 0.010-mm-wide slits are 0.030mm apart...Ch. 35 - (II) Suppose d = D in a double-slit apparatus, so...Ch. 35 - (II) In a double-slit experiment, let d = 5.00D =...Ch. 35 - (II) How many fringes are contained in the central...Ch. 35 - (I) What is the angular resolution limit (degrees)...Ch. 35 - (II) Two stars 16 light-years away are barely...Ch. 35 - (II) The nearest neighboring star to the Sun is...Ch. 35 - (II) If you shine a flashlight beam toward the...Ch. 35 - (II) Suppose that you wish to construct a...Ch. 35 - (II) The normal lens on a 35-mm camera has a focal...Ch. 35 - (I) At what angle will 480-nm light produce a...Ch. 35 - (I) A source produces first-order lines when...Ch. 35 - (I) A 3500-line/cm grating produces a third-order...Ch. 35 - (I) A grating has 6800 lines/cm. How many spectral...Ch. 35 - (II) How many lines per centimeter does a grating...Ch. 35 - (II) Red laser light from a He-Ne laser ( = 632.8...Ch. 35 - (II) White light containing wavelengths from 410...Ch. 35 - (II) A diffraction grating has 6.0 l05 lines/m....Ch. 35 - (II) A tungstenhalogen bulb emits a continuous...Ch. 35 - (II) Show that the second- and third-order spectra...Ch. 35 - (II) Two first-order spectrum lines are measured...Ch. 35 - (II) Suppose the angles measured in Problem 40...Ch. 35 - (II) The first-order line of 589-nm light falling...Ch. 35 - Prob. 43P Ch. 35 - (II) Missing orders occur for a diffraction...Ch. 35 - (II) A 6500-line/cm diffraction grating is 3.18 cm...Ch. 35 - (II) A diffraction grating has 16,000 rulings in...Ch. 35 - (II) Let 580-nm light be incident normally on a...Ch. 35 - Prob. 49P Ch. 35 - (II) First-order Bragg diffraction is observed at...Ch. 35 - Prob. 51P Ch. 35 - (I) Two polarizers are oriented at 65 to one...Ch. 35 - (I) Two Polaroids are aligned so that the light...Ch. 35 - (I) What is Brewsters angle for an airglass (n =...Ch. 35 - (I) What is Brewsters angle for a diamond...Ch. 35 - (II) The critical angle for total internal...Ch. 35 - (II) At what angle should the axes of two...Ch. 35 - (II) Two polarizers are oriented at 36.0 to one...Ch. 35 - (II) What would Brewsters angle be for reflections...Ch. 35 - (II) Unpolarized light passes through six...Ch. 35 - (II) Two polarizers A and B are aligned so that...Ch. 35 - (III) The percent polarization P of a partially...Ch. 35 - When violet light of wavelength 415 nm falls on a...Ch. 35 - A series of polarizers are each placed at a 10...Ch. 35 - The wings of a certain beetle have a series of...Ch. 35 - A teacher stands well back from an outside doorway...Ch. 35 - Light is incident on a diffraction grating with...Ch. 35 - How many lines per centimeter must a grating have...Ch. 35 - When yellow sodium light, = 589 nm, falls on a...Ch. 35 - Prob. 70GP Ch. 35 - (a) How far away can a human eye distinguish two...Ch. 35 - A laser beam passes through a slit of width 1.0 cm...Ch. 35 - Prob. 73GP Ch. 35 - At what angle above the horizon is the Sun when...Ch. 35 - Unpolarized light tails on two polarizer sheets...Ch. 35 - Al what angle should the axes of two Polaroids be...Ch. 35 - Four polarizers are placed in succession with...Ch. 35 - Spy planes fly at extremely high altitudes (25 km)...Ch. 35 - Two polarizers are oriented at 48 to each other...Ch. 35 - Prob. 81GP Ch. 35 - The Hubble Space Telescope with an objective...Ch. 35 - The Earth and Moon are separated by about 400 106...Ch. 35 - A slit of width D = 22 m is cut through a thin...

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The angular separation in the first order spectrum for the two wavelengths.

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Chapter 35 Solutions