For a ray of light travelling from a denser medium of refractive index mu_1 to a rarer medium of refractive index mu_2 ,prove that (mu_2)/(mu_1) = sin C , where C is the critical angle of incidence for the media.

Derive the equation relating u,v and R in case of refraction i a medum of refactive index mu_1 from a medium of refractive index mu_2 .State te assumption made in you deriation.

A convex lens(refractive index mu_L ) is immersed in a medium (refractive index mu_M ).Will it behave as a convergent or divergent lens,if mu_L > mu_M .

What is the focal length of a convex lens (mu=1*5) with radii of curvature R?

By stating the sign conventions used and assumption made, derive the following expression -(mu_(1))/u+(mu_(2))/v=(mu_(2)-mu_(1))/R When refraction takes place from rarer to denser medium at convex spherical refracting surface and image formed is read symbols used her have their usual meanings. Or Derive the relation (mu_(2)-mu_(1))/R=+(mu_(1))/v-(mu_(1))/u , where every letter has its usual meaning, when refraction of light takes place from rarer to denser medium at a convex spherical refracting surface. Or Prove the following when refraction, occurs from rarer to denser medium at a convex spherical refracting surface and image formed is real: -(mu_(1))/u+(mu_(2))/v=(mu_(2)-mu_(1))/R , Or State new cartesian sign conventions. Derive the expression -(mu_(1))/u+(mu_(2))/v=(mu_(2)-m_(1))/R when refraction occurs from rarer to denser medium at a convex sphere refraction surface (mu_(1)ltmu_(2)) Or Prove the following relation: -(mu_(1))/u+(mu_(2))/v=(mu_(2)-mu_(1))/R When refraction takes place from rarer to denser medium at convex spherical refracting surface. Symbols used here have their usual meanings. Or Prove the following formula when refraction takes place at a convex sherical refracting surface and source of light is placed in the rarer medium and image formed is real -(mu_(1))/u+(mu_(2))/v=(mu_(2)-mu_(1))/R where the terms have their usual meanings. Or By stating the assumptions made and sign conventions used derive the relation -1/u+1/v=((mu-1))/R when refraction takes place optically rarer to darer medium at convex spherical refracting surface. Or Drive the expression -(mu_(1))/u+(m_(2))/v=(mu_(2)-mu_(1))/R when refraction occurs from rarer to denser medium at convex spherical refracting surface (m_(1)ltmu_(2)) . (where u,v and R, are object distance, image distance and radius of curvature of spherical surface respectively).

A concave lens made of a material of refractive index mu_g is immersed in a medium of refractive index mu_l , greater than,A paprallel beam of light is incident on the lens. Trace the path of emerged rays

A convex lens of focal length 0.2 m and made of glass of refractive index mu=1.50 ) is immersed in water (refractive index (mu=1.33) . Find the change in the focal length of the lens.

A convex lens made of a material of refractive index mu_1 , is kept in a medium of refractive index mu_2 , Parallel rays of light are incident on the lens. Complete the pathof rays of light emerging from the convex lens if mu_1 = mu_2 .

A convex lens made of a material of refractive index 'mu_1' is kept in a medium of refractive index mu_2 , Parallel rays of light are incident on the lens. Complete the pathof rays of light emerging fromthe convex lens if mu_1 < mu_2 .

A convex lens made of a material of refractive index mu_1 is kept ih a medium of refractive index mu_2 , Parallel rays of light are incident on the lens. Complete the path of rays of light emerging fromthe convex lens if mu_1 > mu_2 .