The polarizability volume of a liquid of molar mass 72.3 g mol−1 and mass density 865 kg m−3 at optical frequencies is 2.2 × 10−30 m3. Estimate the refractive index of the liquid.

Q: Pro blem 9: Consider light passing from air into water. What is the ratio of its wavelength…

A: Write the expression for the refractive index. Here, c is the speed of light and v is the wave…

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A: Refractive index n=1.4 Angle =60∘ angle βi between Ei and the plane of incidence is 61°

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Q: You shine a beam of polarized light in air on a piece of dense flint glass 1n = 1.662. (a) If the…

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Q: A dielectric medium is non-magnetic and has a relative permittivity ε=2.5. The refractive index is…

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Q: In the figure, unpolarized light of intensity 10 = 35 W/ m? falls on a system of four polarizers…

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Q: A parallel polarized beam of light with an electric field amplitude of 10 (V/m) is incident in air…

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Q: An elliptically polarized beam of light has a degree of polarization equal to 0.4. 55° The major…

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Q: The cylindrical beam of a 10.5-mW laser is 0.880 cm in diameter. What is the rms value of the…

A: The problem is asking for the root mean square (rms) value of the electric field of a laser beam.…

Q: b) For a Prism with refractive index of 1.5 if the SPP to couple of gold/water interface n water…

A: Given: Refractive index of prism is 1.5. nwater=1.3. Angle is 74°. The grating period of the grating…

Q: A colloid consists of particles of one type of substance dispersed in another substance. Suspensions…

A: Visible light is used for Bragg reflection experiments on colloidal crystals because the spacing…

Q: 1. A linearly polarized light propagating in water can be expressed as E, = 0, E₂ = 0, E = 10² cos…

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Q: A parallel-plate capacitor with dimensions of 12 mm by 9 mm and a plate separation of 1 micrometers…

A: Area = 12*9*10^(-6) m²  D = 1*10^(-6) m  C = 5*10^(-9) C  €0 $ 8.854*10^(-12) Fm^(-1)

Q: A clear sheet of polarizing material is placed on top of a second, similar sheet so that their…

A: Law of malus Let Io be the intensity of incident unpolarized light. When it is incident on a…

Q: If E₁ = 4ax + 2a,-4a₂ V/m, find: (a) The electric susceptibly (xe) of medium 1 (b) The electric flux…

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Q: You measure that for light at normal incidence from air onto a particular material, 14% of the…

A: Given Normal incidence from air onto a particular material  EOREOI = 14% = 0.14 Intensity of…

Q: The dispersion coefficient of a material is dn/dλ = -16.1 x10-5 nm-1, such that no 1.500 when Ao =…

A: Given,The dispersion coefficient, The angle of incidence, Now,

Q: For a sapphire (Al2O3) window (refractive index NA1203 = 1.76) at an electromagnetic radiation…

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Q: Problem 7:  Brewster plates are used in laser cavities to polarize the light with the smallest…

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Q: Quartz has hexagonal 32 point group symmetry. Its unit cell dimensions are a = 4.914 Å and c = 5.405…

A: We have given that, quartz has hexagonal 32 point group symmetry. It unit cell dimensions are  a =…

Q: (a) Calculate the V-number for the fiber. Is this a single mode fiber? (b) Calculate the wavelength…

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Q: What is Brewster's angle (in degrees) for light going from a medium with refractive index 1.14 into…

A: Given Refractive index of first medium is n1=1.14 Refractive index of second medium is n2=1.626

Q: Consider crown glass with the dispersive refractive index n=1.789−0.060λ, where λ is the wavelength…

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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: The wavelength of red light from a helium-neon laser is 633 nm in air and 479 nm In a medium of…

A: Concept used: Frequency of light doesn't change in a medium . It remains same as vacuum. Wavelength…

Q: Two polarizers are placed together. The first polarization axis is oriented at 30° with respect to…

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Q: An LED with total power Ptot=910 mW emits UV light of wavelength 370 nm. Assuming the LED is 45%…

A: Given, Ptot= 910 mW = 0.910 W Wavelength  λ=370 nm = 370*10-9 m Efficiency  η = 0.45 Distance r =2.5…

Q: Q 6. A plane monochromatic wave of wavelength 800 nm hits still surface of sea water from air at…

A: Given λ= 800 nmσ=2×10-2siemensreractive index = 5μ=μ0ε=ε0= 8.86×10-12 C2/N.m2distance from ship= 10…

Q: If the speed of light in a substance is Ix108 m/sec, then the refractive index of the substance is

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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: The Figure above shows TE polarised light incident on a dielectric interface. Light is in- cident…

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Q: at is the index of refraction of a refractive liquid if the angle of incidence in the AIR is 35…

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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: The ratio of the refractive indices of two adjacent layers is given by "n2/n1 = 0.77". If the…

A: The relationship between refractive index of two adjacent layers and wavelength of light is given…

Q: A light wave in air strikes the surface of a piece of sapphire (n = 1.77) at an angle of 24°. The…

A: Refractive index of sapphire (n) = 1.77Angle of reflection () = 240E- Field amplitude for-1.…

Q: Homework 11, Problem 7

A: Part (a)Recall that the index of refraction of a medium is expressed by:n=vc​=tL​c​=Lct​Where c is…