A magician during a show makes a glass lens `mu = 1.5` disappear in a through of liquid. What is the refractive index of the liquid ? Is the liquid water ?
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From lens maker's formula, `(1)/(F) = (mu - 1)((1)/(R_(1)) - (1)/(R_(2)))` where `mu = (mu_(2))/(nu_(1))` If `mu_(2) = mu_(1), (1)/(f) = 0 or f = oo` `:.` The lens in the liquid will act like a plane sheet of glass, when refractive index of the lens and the surrounding medium is the same. Therefore, refractive index of surrounding medium, `mu_(2) = mu_(1) = 1.5` This liquid medium is not water because refractive index of water `= 1.33`.
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