Refractive Index of a Liquid Using Spectrometer

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Refractive Index of a liquid using spectrometer Refractive Index The refractive index (or index of refraction) of a medium is a measure of how much the speed of light (or other waves such as sound waves) is reduced inside the medium. For example, typical soda-lime glass has a refractive index of 1.5, which means that in glass, light travels at 1 / 1.5 = 0.67 times the speed of light in a vacuum. Two common properties of glass and other transparent materials are directly related to their refractive index. First, light rays change direction when they cross the interface from air to the material, an effect that is used in lenses. Second, light reflects partially from surfaces that have a refractive index different from that of their surroundings. [pic] The refractive index, n, of a medium is defined as the ratio of the velocity, c, of a wave phenomenon such as light or sound in a reference medium to the phase velocity, vp, in the medium itself: [pic] Apparatus • Spectrometer • Mercury arc • Level & hollow prism filled with an unknown liquid (here it is glycerin) Experiment The prism spectrometer can used to measure the refractive index at a given wavelength using the formula [pic] where A is the prism angle and Dmin is angle of minimum deviation for that wavelength. The spectrometer is a precision instrument and is easily capable of measuring the refractive to an accuracy of four significant figures. The dispersive power of a material is usually characterised by its number which is defined as [pic] where nd is the refractive index for the Helium d-line (587.56nm), nF the refractive index for the Fraunhofer (Hydrogen) F-line (486.13nm) and nC the refractive index for the Fraunhofer (Hydrogen) C-line (656.27nm). The resolving power of a prism is given by the expression [pic] where d is the

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