A plano-concave lens is made of glass which has a refractive index of 1.5. One surface is flat, and the concave surface has a radius of curvature of 25 cm. determine the focal length of this lens.
We know that
1f=(μ−1)(1R2−1R2)\frac{1}{f}=(\mu-1)(\frac{1}{R_2}-\frac{1}{R_2})f1=(μ−1)(R21−R21)
1f=(1.5−1)(1infinite−125)\frac{1}{f}=(1.5-1)(\frac{1}{infinite}-\frac{1}{25})f1=(1.5−1)(infinite1−251)
1f=0.5(0−125)\frac{1}{f}=0.5(0-\frac{1}{25})f1=0.5(0−251)
1f=−150\frac{1}{f}=-\frac{1}{50}f1=−501
f=−50cmf=-50 cmf=−50cm
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