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A magician during a show makes a glass lens with n=1.47 disappear in the trough of liquid. What is the refractive index of the liquid. |
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Answer» Solution :The lens ofrefractive index same as of liquid will be INVISIBLE in that liquid As `n_1 = 1.47` , then refractive index of lens `n_2 = 1.47` From lens maker.sformula `1/f = ((n_1 - n_2)/(n_2))[1/R_1 - 1/R_2]` `1/f = ((n_2-n_2)/(n_2))[1/R_1 - 1/R_2]` `= (0) [ 1/R_1 - 1/R_2]` `thereforef = 1/0 = " infinity " (OO)` Hence, lens will behave as plane surface in liquid. `rArr` No, this liquid can.t be water because itsrefractive index is `(4)/(3)`, This liquid can be glycerine. |
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