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Numerical Problems Chapter 9 Physical Optics l First Year Physics KPK Syllabus
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1. In young double slit experiment the separation of the slits is 1mm and red light of wavelength 620nm is falling on it. Determine the distance between the central bright band and the fifth bright fringe on the screen which is 3m away from the slit.
2. Two parallel slits are illuminated by light of two wavelengths, one of which is 5.8×〖10〗^(-7) m. On the screen the fourth dark line of the known wavelength coincides with the fifth bright line of the light of unknown wavelength. Find the unknown wavelength.
3. When the movable mirror of a Michelson interferometer is moved 0.1mm. How many dark fringes pass through the reference point, if light of wavelength 580nm is used?
4. A soap film has a refractive index of 1.40. How thick must the film be, if it appears black, when mercury light of wavelength 546.1nm falls on it normally?
5. A diffraction grating has 5000 lines per centimeter. At what angle does the second order spectrum of the sodium yellow light of wavelength 589nm occur?
6. Light is incident normally on a grating which has 250 lines/mm. Find the wavelength of spectral line for which the deviation in second order is 12o.
7. In a certain X-rays diffraction experiment the first order image is observed at an angle of 5o for a crystal plane of spacing of 2.8×10-10m. What is the wavelength of X-rays used?
8. An X-ray beam of wavelength 0.48×10-10m is used to get Bragg reflection from a crystal at an angle of 20o for the first order maximum. What are the possible layer plane spacing which give rise to this maximum?
9. The spacing of one set of crystal planes is NaCl (table salt) is d=0.282nm. A monochromatic beam of X-rays produces a Bragg maximum when its glancing angle with these planes is θ=7°. Assuming that this is a first order maximum (n=1), find the wavelength of the X-rays.
2. Two parallel slits are illuminated by light of two wavelengths, one of which is 5.8×〖10〗^(-7) m. On the screen the fourth dark line of the known wavelength coincides with the fifth bright line of the light of unknown wavelength. Find the unknown wavelength.
3. When the movable mirror of a Michelson interferometer is moved 0.1mm. How many dark fringes pass through the reference point, if light of wavelength 580nm is used?
4. A soap film has a refractive index of 1.40. How thick must the film be, if it appears black, when mercury light of wavelength 546.1nm falls on it normally?
5. A diffraction grating has 5000 lines per centimeter. At what angle does the second order spectrum of the sodium yellow light of wavelength 589nm occur?
6. Light is incident normally on a grating which has 250 lines/mm. Find the wavelength of spectral line for which the deviation in second order is 12o.
7. In a certain X-rays diffraction experiment the first order image is observed at an angle of 5o for a crystal plane of spacing of 2.8×10-10m. What is the wavelength of X-rays used?
8. An X-ray beam of wavelength 0.48×10-10m is used to get Bragg reflection from a crystal at an angle of 20o for the first order maximum. What are the possible layer plane spacing which give rise to this maximum?
9. The spacing of one set of crystal planes is NaCl (table salt) is d=0.282nm. A monochromatic beam of X-rays produces a Bragg maximum when its glancing angle with these planes is θ=7°. Assuming that this is a first order maximum (n=1), find the wavelength of the X-rays.
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