A scientist notices that an oil slick floating on water when viewed from above has many different colors reflecting off the surface, making it look rainbow-like (an effect known as iridescence). She aims a spectrometer at a particular spot and measures the wavelength to be 750 nm (in air). The index of refraction of water is 1.33.Now assume that the oil had a thickness of 200 nm and an index of refraction of 1.5. A diver swimming underneath the oil slick is looking at the same spot as the scientist with the spectromenter. What is the longest wavelength λwater of the light in water that is transmitted most easily to the diver?

Q: The diameter of a thin wire is measured in a physics laboratory by a student. The wire is held…

A:

Q: An X-ray beam of a wavelength 0.15 nm is incident on an NaCl crystal, at 25° to reflecting planes of…

A: Given Data Wavelength of the X-ray beam is given as λ=0.15 nm=0.15×10-9 m Angle of incidence at the…

Q: You are performing research in an x-ray diffraction laboratory. In one of your experiments, you wish…

A: Bragg’s law for diffraction maximum

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: An oil film (n=1.45) floating on water is illuminated by white light at normal incidence. The film…

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Q: Diffraction can be used to provide a quick test of the size of red blood cells. Blood is smeared…

A: Details given:Diameter of a RBC = 7.5*10-6m to 8*10-6 Wavelength of Laser = 633nm Distance of Screen…

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

A: (a) The expression for intensity is  I=PA where P is the power, I is the intensity and A is the area…

Q: Unpolarized light with intensity 350 W/m² passes first through a polarizing filter with its axis…

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Q: Light is incident normal to the left side of a TiO2 prism (n = 2.62) in the shape of an equilateral…

A: Solution attached in the photo

Q: Consider the dispersion curve for a material shown in the figure. If light with wavelengths A, B and…

A: The relationship between speed of light travelling within a material of refractive index n is given…

Q: For light with A = 10-6 m what is the thickness of a coating withn = 1.225 that reduces normal…

A: Given: Wavelength: λ=10-6 m R.I. of the coating n=1.225 R.I. of glass, nGlass=1.5

Q: Unpolarized light passes through two ideal polarizers. The axis of the first is vertical, and the…

A: Let the initial intensity of the light be I0 Let the intensity of the light after passing through…

Q: Brewster plates are used in laser cavities to polarize the light with the smallest amount of power…

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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.