1.

A convexo-convexhas a focal length of f_1=10 cm. One of the lens surfaces having a radius of curvature of R=10 cm is coated with silver. Construct the image of the object produced by the given optical system and determine the position of the image if the object is at a distance of a=15 cm from the lens. Refractive index of lens =1.5.

Answer»


SOLUTION :`1/f=(n-1)(1/(R_1)-1/(R_2))`
`1/10=(1.5-1)(1/(R_1)-1/(-10))`
`:. R_1=+10 cm`
Now, using,
`1/v+1/u=(2(n_2//n_1))/(R_2)-(2(n_2//n_1))/(R_1)`
SUBSTITUTING the VALUES,
`1/v-1/(-15)=(2(1.5))/(-10)-(2(1.5-1))/(+10)`
`:. v=-2.14 cm`


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