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Use the lens maker's formula:
1/f=(n-1) [(1/R1)-(1/R2)]
f is focal length.(f=20 cm =0.2 m given).
n is refractive index of material of lens relative to surrounding medium.(n=1.55 given).
R1 is radius of curvature of first surface .
R2 is radius of curvature of second surface
R1=R2=R given.R1 is positive and R2 is negative in Cartesian sign convention .
Then,
(1/f)=(1.55–1)(2/R). Or
(1/0.2)=(0.55)(2/R)=1.1/R. Therefore ,
R=(1.1)(0.2)m=0.22m=22cm.
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