1.

Lens maker's formula is a formula corelating the power P (or focal length f) of a lens to radii of curvature of the two surfaces of the lens and the refractive index of lens material with respect to its surroundings. The formula is expressed as : P=(1)/(f)=(n-1)((1)/(R_(1))-(1)/(R_(2))) where n = refractive index of the material of lens with respect to its surroundings (ordinarily air) and R_(1) and R_(2) are the radii of curvature of two surfaces of the lens. The relation is true under all conditions but while applying it we should put values of P, f, R_(1) and R_(2) with their proper signs as per sign convention being followed by us. Let us have a bi- convex lens and let radii of curvature of both its curved surfaces is same i.e., |R_(1)|=|R_(2)|=R" (say)" If twoplanoconvex lenses fromed as a result of (a) are joined together as shown in Fig. (b), what is the net power of the combination ?

Answer»

SOLUTION :When two parts cut along section YY.. are joined TOGETHER as shown in FIG. (b), the net power
`=P+P.=2P.=(2(n-1))/(R )=P="Power of original biconvex LENS"`


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