The graph shows variation of v with change in u for a mirror. Points plotted above the point P on the curve are for values of v

When light is incident on a medium at angle i and refracted into a second medium at an angle r, the graph of sin i vs sin r is as shown in the graph. From this, one can conclude that

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 

We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 

The value of  on using simpson's 3^rd rule by taking h=1 is [Given 

Which of the following statement is correct

α is a solution of the equation  where n 2, . Then the probability that lies on the real axis is

If  then K=

If  then k=

Three right angled prisms of refractive indices and are fixed together using an optical glue as shown in figure. If a ray passes through the prisms without suffering any deviation, then

The distance between a convex lens and a plane mirror is 10 cm. The parallel rays incident on the convex lens after reflection from the mirror form image at the optical centre of the lens. Focal length of lens will be

A double convex lens, lens made of a material of refractive index , is placed inside two liquids or refractive indices and , as shown. . A wide, parallel beam of light is incident on the lens from the left. The lens will give rise to

The slab of a material of refractive index 2 shown in figure has curved surface APB of radius of curvature 10 cm and a plane surface CD. On the left of APB is air and on the right of CD is water with refractive indices as given in figure. An object O is placed at a distance of 15 cm from pole P as shown. The distance of the final image of O from P, as viewed from the left is