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prove-that-when-light-travels-through-a-triangular-glass-prism-of-angle-A-the-refractive-index-n-is-given-by-n-sin-A-D-min-2-sin-A-2-




Question Number 16012 by chux last updated on 16/Jun/17
prove that when light travels   through a triangular glass prism   of angle A  the refractive index (n) is given  by  n=sin (((A+D_(min) )/2))/sin ((A/2))
$$\mathrm{prove}\:\mathrm{that}\:\mathrm{when}\:\mathrm{light}\:\mathrm{travels}\: \\ $$$$\mathrm{through}\:\mathrm{a}\:\mathrm{triangular}\:\mathrm{glass}\:\mathrm{prism}\: \\ $$$$\mathrm{of}\:\mathrm{angle}\:\mathrm{A} \\ $$$$\mathrm{the}\:\mathrm{refractive}\:\mathrm{index}\:\left(\mathrm{n}\right)\:\mathrm{is}\:\mathrm{given} \\ $$$$\mathrm{by} \\ $$$$\mathrm{n}=\mathrm{sin}\:\left(\frac{\mathrm{A}+\mathrm{D}_{\mathrm{min}} }{\mathrm{2}}\right)/\mathrm{sin}\:\left(\frac{\mathrm{A}}{\mathrm{2}}\right) \\ $$
Commented by chux last updated on 16/Jun/17
please add diagrams if necessary.  Thanks in advance.
$$\mathrm{please}\:\mathrm{add}\:\mathrm{diagrams}\:\mathrm{if}\:\mathrm{necessary}. \\ $$$$\mathrm{Thanks}\:\mathrm{in}\:\mathrm{advance}. \\ $$
Commented by chux last updated on 18/Jun/17
please help
$$\mathrm{please}\:\mathrm{help} \\ $$

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