Although the transmission of light, and electromagnetic radiation generally, is correctly described by wave (physical) optics, there are situations for which ray (geometric) optics gives a sufficiently good approximation. For each of the situations described in the following, determine whether ray optics may be used or wave optics must be used. Part (a)  Green laser light of wavelength 565 nm is incident on a 35-cm diameter mirror.  Part (b)  Red laser light of wavelength 629 nm is incident on a molecule of size 105 nm.

Q: White light strikes the left face of a 30°-60°-90° glass prism along a normal to the surftace…

A: Angle of incidence (i) = 30oRefractive index of glass prism for red light (n) = 1.555Refractive…

Q: For an air (n=1) and glass (n=1.45) interface, determine the % of the light reflected (reflectance)…

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Q: zer Suppose that the transmission axis of the first analyzer is rotated 33° relative to the…

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Q: Often in optics scientists take advantage of effects that require very high intensity light. To get…

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Q: When a light beam reaches the boundary of two different media, usually a part of it is reflected and…

A: According to Brewster's Law,  the reflected and refracted rays are perpendicular to each other when…

Q: An anti-reflection (AR) coating is often applied to the surface of eye- glass lenses in order to…

A: We can calculate the dielectric constant (r) by using a simplified capacitor model, where r is the…

Q: Plane-polarized light is incident on a single polarizing disk, with the direction of E parallel to…

A: If the transmission axes are at an angle , then . It is known that intensity is always proportional…

Q: Light of intensity 10 passes through 4 ideal polarizing sheets. Unpolarized light enters the 1st…

A: Using Malus Law , Intensity of unpolarized light passing through a polarimeter Iout =I02 So Output…

Q: A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency…

A: As given, The frequency, f=4.54×1014 Hz Index of refraction of the material, μm=1.35 Index of…

Q: Which of the following statements are (or could be) true? Choose all that apply. A rock at a…

A: 1) The first statement is false. A rock at a temperature of 49 K (Kelvin) will not emit…

Q: A beam of light reflects and refracts at point A on the interface between material 1 with index of…

A: Answer:-  Given  Refractive index (n1) = 1.3  Refractive index (n2) = 1.6  Angle of incidence ( i )…

Q: A beam of light in air makes an angle of 46 degrees with the surface normal of a glass plate having…

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Q: A laser emits light at a wavelength of 1 = 535.0 nm . The total average power emitted is P =1.50 W…

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Q: Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral…

A: a) The formula to calculate transmission is, b) From the equation (1) for transmission, the…

Q: Which of the following statements are (or could be) true? Choose all that apply. A shoe at a…

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Q: An EM-wave is propagating in a medium (medium 1) with index of refraction, n1=2, and is incident at…

A: Since, the incident electromagnetic wave is linearly polarized incident on the surface, the…

Q: Snell’s Law relates the angle of incidence with the angle of refraction as n1 sin θ1 = n2 sin θ2. If…

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Q: A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 34 degrees with…

A: Given data The angle of incident is θ1=34o The refractive index of the air is n1=1 The refractive…

Q: 1. a). A ray of light enters three blocks (A, B, & C) of varied materials and refracts as shown…

A: Snell's Law, with i and r being the incident and refracted angles is n1 sin i = n2 sin r…

Q: A light wave has a frequency of 5.06 × 1014 cycles per second. (a) What is the wavelength? |x 10-7 m…

A: As per guidelines, only 3 subparts are solved here. A light wave has a frequency of 5.06×1014 cycles…

Q: Optical fibers are composed of silica, with an index of refraction of 1.44.  What is the speed of…

A: Given: n= 1.44, c= 3x108 m/s

Q: The plane z = 0 separates two media: glass(nglass = 1.51 for z 0). The optical beam of a…

A: This is a basic question from the wave vectors. This is related to the refraction and reflection of…

Q: Chapter 25: Problem 9: A beam of light moves through a slab of glass as shown in the figure. The…

A: a) sin(θ1) = (na/ng) * sin(θi)  b) θ1 = θ2 (due to parallel sides)  c) sin(θf) = (ng/na) * sin(θ2)…

Q: Light from a 100 mW laser with TE polarisation is incident at θI=60 degrees from air onto glass with…

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Q: A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency…

A: Given Datac=3×108 m/sμ=1.537ν=4.14×1014Hz

Q: Photons with a wavelength of 519 nm in air enter a plate of flint glass with index of refraction n =…

A: The wavelength of photon in air is 519 nm...….(given) Now, in order to find the wavelength of the…

Q: In the figure, light from ray A refracts from material 1 into a thin layer of material 2, crosses…

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Q: A light beam is traveling through an unknown substance. When it strikes a boundary between that…

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Q: Consider two EM waves of the same frequency. One (f1) has three times the amplitude of the other…

A: The total energy(E)  associative with a wavelength is given by…

Q: An incident beam consisting of white light (falsely colored as an orange ray) passes through a…

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Q: Photons with a wavelength of 549 nm in air enter a plate of flint glass with index of refraction n =…

A: Given Wavelength of the photons in air is given as λ=549 nm=549×10-9 m Index of refraction of flint…

Q: fiberoptics cable is a cable made out of glass that transports information as electromagnetic waves…

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Q: A beam of light moves through a slab of glass as shown in the figure. The index of refraction of the…

A: Step 1:Part (a): Step 2:Part (b):At the point of incidence at air-to-glass a normal is drawn to find…

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.