At the mouth of a cylindrical vessel, a convex lens of refractive index $$1.5$$ and radius of curvature of curved surface $$30$$ cm is filled. A point source S is at the bottom of vessel. The height of vessel is $$40$$ cm and filled with liquid of refractive index $$1.2$$. Find the position of image.

Question

Infinity Learn · Accepted Answer

For refraction through spherical surface, μ$$1=1.2$$,μ$$2=1.5$$   $$r=+30cm$$,$$u=$$−$$40cm$$                ∵μ$$2v$$−μ$$1u=$$μ$$2$$−μ$$1t$$                         Or $$1.5v$$−$$1.2$$−$$40=1.5$$−$$1.230$$  or  $$1.5v+12400=3300$$            Or $$1.5v=1100$$−$$3100=-2100$$            Or  $$v=$$−$$1002$$×$$1.5=$$−$$75$$ cm            For refraction through spherical surface, μ$$1$$'$$=1.5$$,μ$$2$$'$$=1$$,u'$$=-75$$ cm,t'$$=-30$$                ∴μ$$2$$'v'−μ$$1$$'u'$$=$$μ$$2$$'−μ$$1$$'t            Or $$1v$$'$$+1.575=1-1.5-30$$            ∴v'$$=$$−$$300$$ cm

At the mouth of a cylindrical vessel, a convex lens of refractive index 1.5 and radius of curvature of curved surface 30 cm is filled. A point source S is at the bottom of vessel. The height of vessel is 40 cm and filled with liquid of refractive index 1.2. Find the position of image.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material