In Michelson's interferometer if the movable mirror is displaced through a distance of 0.05mm, 200 fringes are observed. The wavelength of light used in that case is:
Correct answer: A. 5000 Ao
- A. 5000 Ao
- B. 500 Ao
- C. 50 Ao
- D. 5 Ao
Explanation
To calculate the wavelength of light, we use the formula: wavelength = (mirror displacement / fringe count) * 2. Substituting the values given in the question, we get: wavelength = (0.05mm / 200) * 2 = 0.0005mm = 5000 Ao. Therefore, the correct answer is Option A. Options B, C, and D are incorrect as they do not correctly calculate the wavelength using the data provided.
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Light is studied through reflection, refraction, dispersion, interference, diffraction and polarization, linking ray behavior with its wave nature. Questions may involve mirrors, lenses, optical instruments, refractive index and image formation, while geometrical optics deals with rays and wave optics explains effects such as interference and diffraction.
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