Two equilateral-triangular prisms P1 and P2 are kept with their sides parallel to each other, in
vacuum, as shown in the figure. A light ray enters prism P1 at an angle of incidence θ such that the
outgoing ray undergoes minimum deviation in prism P2. If the respective refractive indices of P1
P2 are √3/2 and √3 ,then θ= sin-1 [√3/2 sin(π/β)], then 0 = sin-1 where the value of β is
An optical arrangement consists of two concave mirrors M and M2, and a convex lens L with a common principal axis, as shown in the figure. The focal length of L is 10 cm. The radii of curvature of M1 and M2 are 20 cm and 24 cm, respectively. The distance between L and M2 is 20 cm. A point object S is placed at the mid- point between L and M, on the axis. When the distance between L and M1 is n/7 cm, one of the images coincides with S. The value of n is
An object and a concave mirror of focal length f = 10 cm both move along the principal axis of the mirror with constant speeds. The object moves with speed V. = 15 cm s-1 towards the mirror with respect to a laboratory frame. The distance between the object and the mirror at a given moment
is denoted by u. When u = 30 cm, the speed of the mirror Vm is such that the image is instantaneously at rest with respect to the laboratory frame, and the object forms a real image. The magnitude of V. iscm s-1
A light ray is incident on the surface of a sphere of refractive index n at an angle of incidence 00. The ray partially refracts into the sphere with angle of refraction P0 and then partly reflects from the back surface. The reflected ray then emerges out of the sphere after a partial refraction. The total angle of deviation of the emergent ray with respect to the incident ray is a. Match the quantities mentioned in List-I with their values in List-Il and choose the correct option
A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of curvature of the convex surface (SPU) is 9 cm, while the planar surface (STU) acts as a mirror. This beaker is filled with a liquid of refractive index n up to the level QPR. If the image of a point object O at a height of h (OT in the figure) is formed onto itself, then, which of the following
option(s) is(are) correct?
A wide slab consisting of two media of refractive indices m and n2 is placed in air as shown in the figure. A ray of light is incident from medium n, to n2 at an angle 0, where sin 0 is slightly larger than 1/n . Take refractive index of air as 1. Which of the following statement(s) is(are) correct?
(A) The light ray enters air if n2 = m1
(B)The light ray is finally reflected back into the medium of refractive index n, if n2 n1
(C) The light ray is finally reflected back into the medium of refractive index n, if n2 n1
((D) The light ray is reflected back into the medium of refractive index n, if n, = 1
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