A vessel contains a slab of glass 8cm thick and of refractive index 1.6 over the slab, the vessel is filled by oil of refractive index upto height 4.5 cm and also by another liquid i.e., water of refractive index and height 6cm as shown in figure. An observer looking down from above, observes that, a mark at the bottom of the glass slab appears to be raised up to position 6cm from the bottom of the slab. The refractive index of the oil is

The arrangement of the following hyperbolas in the ascending order of the radius of their director circles.
A)
B)
C)
D)

Arrange the eccentricities of the following hyperbola in the descending order
A) In a hyperbola, the distance between the foci is three times the distance between the directrices
B) In a hyperbola, the transverse axis is double the conjugate axis
C)

The truth table of is

a truth table lists out all the possibilities of event occurences and plots the logic of the statements accordingly.

 . Write the statement using the appropriate connective

A transparent solid cylindrical rod has a refractive index of . It is surrounded by air. A light ray is incident at the mid–point of one end of the rod as shown in the figure

The incident angle q for which the light ray grazes along the wall of the rod is

An object is placed 20 cm in front of a plano–convex lens of focal length 15 cm. The plane surface of the lens is silvered. The image will be formed at a distance

A ray of light is incident at the glass-water interface at an angle I, it emerges finally parallel to the surface of water, then the value of m_g would be:

A parallel beam of light falls on a convex lens. The path of the rays is shown in the figure. It follows that

Find the size of image formed in the situation shown in figure.

Locate the image of the point object O in the situation shown in figure. The point C denotes the centre of curvature of the separating surface

A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12 cm below the surface of water, the radius of the circle in centimeter is

Consider the situation shown in figure. Water (m_w = 4/3) is filled in a beaker upto a height of 10 cm. A plane mirror is fixed at a height of 5 cm from the surface of water. Distance of image from the mirror after reflection from the mirror after reflection from it of an object O at the bottom of the beaker is

One side of a glass slab is silvered as shown in figure. A ray of light is incident on the other side at angle of incidence i = 45º. Refractive index of glass is given as 1.5. The deviation of the ray of light from its initial path when it comes out of the slab is

Consider the following diagram The incident ray parallel to the optical axis passing through