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a) The mirrors of a standard Michelson interferometer are separated by 5 mm and the wavelength of the monochromatic light source used is 600 nm. Calculate the angular diameter of the 5 dark fringe from the centre for the observed interference pattern. b) One arm of a Michelson interferometer is made up of a glass rod of length l = 0.05 m at 20°C. The rod is attached to the beamsplitter and the movable mirror. The refractive index of the glass rod is n = 1.5 at 20°C and varies linearly with temperature as n₁ = n(1+BAT), B = 2.5 × 10 5 °C ¹. The length of the rod changes according to its coefficient of linear expansion: ₁ = (1+a^T), a = 5 x 10"°C¹ If the temperature of the rod changes from 20°C to 25°C, how many fringes are displaced across the field of view? A monochromatic light source of wavelength 500 nm is used.

a) The mirrors of a standard Michelson interferometer are separated by 5 mm and the wavelength of the monochromatic light source used is 600 nm. Calculate the angular diameter of the 5 dark fringe from the centre for the observed interference pattern. b) One arm of a Michelson interferometer is made up of a glass rod of length l = 0.05 m at 20°C. The rod is attached to the beamsplitter and the movable mirror. The refractive index of the glass rod is n = 1.5 at 20°C and varies linearly with temperature as n₁ = n(1+BAT), B = 2.5 × 10 5 °C ¹. The length of the rod changes according to its coefficient of linear expansion: ₁ = (1+a^T), a = 5 x 10"°C¹ If the temperature of the rod changes from 20°C to 25°C, how many fringes are displaced across the field of view? A monochromatic light source of wavelength 500 nm is used.

University Physics Volume 3
University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter3: Interference
Section: Chapter Questions
Problem 87AP: In a thermally stabilized lab, a Michelson interferometer is used to monitor the temperature to...
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a) The mirrors of a standard Michelson interferometer are separated by 5 mm and the wavelength of the monochromatic light source used is 600 nm. Calculate the angular diameter of the 5 dark fringe from the centre for the observed interference pattern. b) One arm of a Michelson interferometer is made up of a glass rod of length l = 0.05 m at 20°C. The rod is attached to the beamsplitter and the movable mirror. The refractive index of the glass rod is n = 1.5 at 20°C and varies linearly with temperature as n₁ = n(1+BAT), B = 2.5 × 10 5 °C ¹. The length of the rod changes according to its coefficient of linear expansion: ₁ = (1+a^T), a = 5 x 10"°C¹ If the temperature of the rod changes from 20°C to 25°C, how many fringes are displaced across the field of view? A monochromatic light source of wavelength 500 nm is used.
Transcribed Image Text:a) The mirrors of a standard Michelson interferometer are separated by 5 mm and the wavelength of the monochromatic light source used is 600 nm. Calculate the angular diameter of the 5 dark fringe from the centre for the observed interference pattern. b) One arm of a Michelson interferometer is made up of a glass rod of length l = 0.05 m at 20°C. The rod is attached to the beamsplitter and the movable mirror. The refractive index of the glass rod is n = 1.5 at 20°C and varies linearly with temperature as n₁ = n(1+BAT), B = 2.5 × 10 5 °C ¹. The length of the rod changes according to its coefficient of linear expansion: ₁ = (1+a^T), a = 5 x 10"°C¹ If the temperature of the rod changes from 20°C to 25°C, how many fringes are displaced across the field of view? A monochromatic light source of wavelength 500 nm is used.
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