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A thin plano-convex lens of focal length 𝒇 is split into two halves. One of the halves is shifted along the optical axis. The separation between object and image planes is 1.8 m. The magnification of the image formed by one of the half lens is 2. Find the focal length of the lens and separation between the halves. Draw the ray diagram for image formation. (1996) Angular width of central maximum in the Fraunhofer diffraction pattern of a slit is measured. The slit is illuminated by light of wavelength 6000 Å. When the slit is illuminated by light of another wavelength, the angular width decreases by 30%. Calculate the wavelength of this light. The same decrease in the angular width of central maximum is obtained when the original apparatus is immersed in a liquid. Find refractive index of the liquid. (1996) A double slit apparatus is immersed in a liquid of refractive index 1.33. It has slit separation of 1 mm and distance between the plane of slits and screen is 1.33 m. The slits are illuminated by a parallel beam of light whose wavelength in air is 6300 Å. (1996) A right-angled prism (45°-90°-45°) of refractive index 𝒏 has a plane of refractive index 𝒏1 ( 𝒏1 𝒏 ) cemented to its diagonal face. The assembly is in air. The ray is incident on 𝑨𝑩. (1996) IIT JEE Mains and Advanced PYQ: Optics #neet #jeemain #jeeadvance #physicsIIT