1.

A plano convex lens fits exactly into a plano concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices y, and y, and R is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is ......

Answer»

`(R)/(2(mu_1+mu_2))`
`(R)/(2(mu_1-mu_2))`
`(R)/((mu_1-mu_2))`
`(2R)/((mu_1-mu_2))`

Solution :`1/f=(1)/(f_1)+(1)/(f_2)`
but `f_1=(R)/(mu_1-1)` and
`f_2=-(R)/(mu_2-1)`
`THEREFORE 1/f=((mu_1-1))/(R)-((mu_2-1))/(R)`
`therefore 1/f=([mu_1-1-mu_2+1])/(R)=((mu_1-mu_2))/(R)`
`therefore f=(R)/((mu_1-mu_2))`


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