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In a Young's double slit experiment 15 fringes are observed on a small portion of the screen when light of wavelength 500 nm is used. Ten fringes are observed on the same section of the screen when another light source of wavelength λ is used. Find the value of λ (in nm ) .

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Important Questions on Wave Optics

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The figure shows a Young's double slit experimental setup. It is observed that when a thin transparent sheet of thickness t and refractive index μ is put in front of one of the slits, the central maximum gets shifted by a distance equal to n fringe width. If the wavelength of light used is λ then t will be:
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Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm coming from a distant object, the limit of resolution of the telescope is close to:
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Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is 16. The intensity of the waves are in the ratio:
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In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength λ=500 nm is incident on the slits. The total number of bright fringes that are observed in the angular range -30oθ30o is:
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In an interference experiment the ratio of amplitudes of coherent waves is a1a2=13 . The ratio of maximum and minimum intensities of fringes will be:
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Calculate the limit of resolution of a telescope objective having a diameter of 200 cm , if it has to detect light of wavelength 500 nm coming from a star.
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In a Young's double-slit experiment, the ratio of the slit's width is  4 :1 . The ratio of the intensity of maxima to minima, close to the central fringe on the screen, will be
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In a Young's double slit experiment slit separation 0.1 mm, one observes a bright fringe at angle 140 rad by using light of wavelength λ1. When the light of wavelength λ2 is used a bright fringe is seen at the same angle in the same set up. Given that λ1 and λ2 are in visible range 380 nm to 740 nm, their values are: