Geometrical Optics

A large glass slab (\(\mu\) = 5/3) of thickness 8 cm is placed over a point source of light on a plane surface. It is seen that light emerges out of the top surface of the slab from a circular area of radius R cm. What is the value of R?

A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the mirror is 10 cm. A small object is kept at a distance of 30 cm from the lens. The final image is

The focal length of a thin biconvex lens is 20 cm. When an object is moved from a distance of 25 cm in front of it to 50 cm, the magnification of its image changes from m25 to m50. The ratio \({{{m_{25}}} \over {{m_{50}}}}\) is __________.

A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 60\(^\circ\) (see figure). If the refractive index of the material of the prism is \(\sqrt3\), which of the following is(are) cor...

A student performed the experiment of determination of focal length of a concave mirror by \(u\)-\(v\) method using an optical bench of length 1.5 m. The focal length of the mirror used is 24 cm. The maximum error in the location of the ima...

A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4/3. A fish inside the lake, in the line of fall of the ball, is looking at the ball. At an instant, when the ball is 12.8 m abov...

An optical component and an object S placed along its optic axis are given in Column I. The distance between the object and the component can be varied. The properties of images are given in Column II. Match all the properties of images fro...

A light beam is travelling from Region I to Region IV
(Refer figure). The refractive index in Regions I, II, III and IV are \({n_0},{{{n_0}} \over 2},{{{n_0}} \over 6}\) and \({{{n_0}} \over 8}\), respectively. The angle of incidence $$\t...

Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is 60\(^\circ\)). In the position of minimum deviation, the angle of refraction will be :

The phases of the light wave at \(c, d, e\) and \(f\) are \(\phi_c, \phi_d, \phi_{e}\) and \(\phi_{f}\) respectively.
It is given that \(\phi_{c} \neq \phi_{f}\).

Light travels as a

Statement 1 :
The formula connecting u, v and f for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature.
Statement 2 :
Laws of reflection are strictly valid for plane surfaces, but no...

A ray of light travelling in water in incident on its surface open to air. The angle of incidence is \(\theta\), which is less than the critical angle. Then there will be

In an experiment to determine the focal length (f) of a concave mirror by the u-v method, a student places the object pin A on the principal axis at a distance x form the pole P. The student looks at the pin and its inverted image form a di...

A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15 cm , if the plane surface is silvered. The image will form at

A biconvex lens of focal length $f$ forms a circular image of sun of radius $r$ in focal plane. Then

Graph of position of image versus position of point object from a convex lens is shown. Then, the focal length of the lens is

A simple telescope used to view distant objects has eyepiece and objective lens of focal lengths $f_e$ and $f_0$, respectively. Match Column I with Column II:
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Two identical prisms of refractive index \(\sqrt{3}\) are kept as shown in the figure. A light ray strikes the first prism at face AB. Find
(A) the angle of incidence so that the
emergent ray from the first prism has
minimum deviation;
(...

What will be the minimum angle of incidence such that the total internal reflection occurs on both the surfaces?