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[A plano convex lens has radius of curvature 10 cm. Its focal length is 80 cm in water.Calculate the refractive index of the material of the lens. [Refractive index of water =4]

Answer»

Given information is,R1=10cm;R2=∞;f=80cmandμwater=43So, Focal length of the plano - convex lens, when it is immersed in water is,1fw=(μrel−1)[1R1−1R2]⇒180=(μmμwater−1)[110−1∞]⇒180=(μm43/−1)[110]⇒18=(3μm4−1)⇒3μm4=98⇒μm=32Therefore, refractive index of the material is1.5



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