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[" Establish the formula for a thin lens "(1)/(f)=(mu-1)((1)/(R_(1))-(1)/(R_(2))).],[hline[[117]]" A "[[" 30017-A "," Pare "" ว "]]

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Derive lens maker formula 1/f=(mu_(2)-mu_(1)/mu_1)(1/R_(1) - 1/R_(2))

Deduce the familiar thin lens formula 1/v-1/u=1/f .

Statement-1 : A glass convex lens (refractive index, mu_(1)=1.5 ), when immersed in a liquid of refractive index mu_(2)=2 , functions as a diverging lens. Statement-2 : The focal length of a lens is given by (1)/(f)=(mu-1)((1)/(R_(1))-(1)/(R_(2))) , where mu is the relative refractive index of the material of the lens with respect to the surrounding medium.

Statement-1 : A glass convex lens (refractive index, mu_(1)=1.5 ), when immersed in a liquid of refractive index mu_(2)=2 , functions as a diverging lens. Statement-2 : The focal length of a lens is given by (1)/(f)=(mu-1)((1)/(R_(1))-(1)/(R_(2))) , where mu is the relative refractive index of the material of the lens with respect to the surrounding medium.

Explain how the image is formed by thin convex lens and derive -1/u+1/v=(n_(21)-1)[(1)/(R_1)+(1)/(R_2)]