Can the dispersive power `omega = (mu_v-mu_r)/(mu-1)` be negative? What is the sign of `omega` if a hollow prism is immersed into water?

The equation omega=(mu_v-mu_r)/(mu-1) was derived for a prism having small refracting angle. Is it also valid for a prism of large refracting angle? Is it also valid for a glass slab or a glass sphere?

Find the dispersive power of a prism, given that n_(v) = 1.657 and n_(R) = 1.631 .

One end of a cylindrical glass rod (mu = 1.5) of radius 1.0 cm is rounded in the shape of a hemisphere. The rod is immersed in water (mu= 4/3) and an object is placed in the water along the axis of the rod at a distance of 8.0 cm from the rounded edge. Locate the image of the object.

Two particles of masses m_1 and m_2 are joined by a light rigid rod of length r. The system rotates at an angular speed omega about an axis through the centre of mass of the system and perpendicular to the rod. Show that the angular momentum of the system is L=mur^2omega where mu is the reduced mass of the system defined as mu=(m_1m_2)/(m_1+m_2)

What is the focal length of a convex lens ( mu = 1.5) with radii of curvature R.

A hollow insulated conducting sphere is given a positive charge of 10 mu C . What will be the electric field at the centre of the sphere is its radius is 2 meters ?

A thin prism of angle 6.0^@, omega'=0.07 and mu_y'=1.50 is combined with another thin prism having omega = 0.08 and mu_y = 1.60 . The combination produces no deviation in the mean ray. (a) Find the angle of the second prism. (b) Find the net angular dispersion produced by the combination when a beam of white light passes through it. (c) If the prisms are similarly directed, what will be the deviation in the mean ray ? (d) Find the angular dispersion in the situation described in (c).

Two insulated copper sphere of charges +10 mu C and -20 mu C have their centres seprated by a distance of 10 cm . What is the force of attraction if they placed. a in free space b. in water of dielectric constant 81.

A convex lens is made of a material having refractive index 1.2. Both the surface of the lens are convex. If it is dipped into water (mu=1.33) it will behave like

A concave mirror of radius of curvature 60 cm is placed at the bottom and height of 20 cm. The mirror faces upwards with its axis vertical. Solar light fall normally on the surface of water and image of sun is formed. If a mu_omega = 4/3 then will the observer in air, the distance of image from the surface of water is