Tiêu đề 2.RAY OPTICS FINAL.pdf ✅

GEOMETRICAL OPTICS 4 0 NISHITH Multimedia India (Pvt.) Ltd., JEE ADVANCED - VOL - V NISHITH Multimedia India (Pvt.) Ltd., LEVEL - V SINGLE CORRECTANSWER TYPE 1. A ray of light is incident on a plane mirror along a vector ˆ ˆ ˆ i j k   . The normal to the mirror at the point of incidence is along ˆ ˆ i j  . Then unit vector along the reflected ray is (A)   1 ˆ ˆ ˆ i j k 3   (B) 1 ( ) 3 i j k       (C) 1 ( ) 3 i j k        (D)   1 3    i j k 2. A concave mirror is placed on a horizontal table, with its axis directed vertically upwards. Let O be the pole of the mirror and C its centre of curvature. A point object is placed at C. It has a real image, also located at C. If the mirror is now filled with water, the image will be (A) real and will remain at C (B) real and located at a point between C and  (C) virtual and located at a point between C and O (D) real and located at a point between C and O 3. A ray of light passes through four transparent media with refractive indices 1 2 3    , , and 4 as shown in the figure, the surfaces of all media are parallel. If the emergent ray CD is parallel to the incident ray AB, we must have (A)   1 2 (B)    2 3 (C)\   3 4 (D)    4 1 4. An isosceles prism of angle 120o has a refractive index of 2 . Two parallel monochromatic rays enter the prism parallel to each other in air as shown. the rays emerging from the opposite faces 120o (A) are parallel to each other (B) are diverging (C) make an angle 30o with each other (D) make an angle 60o with each other. 5. A given ray of light suffers minimum deviation in an equilateral prism P. Additional prisms Q and R of identical shape and of the same material as P are now added as shown in the figure. The ray will now suffer P Q R (A) greater deviation (B) no deviation (C) same deviation as before (D) total internal reflection 6. A diverging beam of light from a point source S having divergence angle  , falls symmetrically on a glass slab as shown. the angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is t and the refractive index n, then the divergence angle of the emergent beam is (A) zero (B)  (C) 1 sin (1/ n)  (D) 1 2sin (1/ n)  GEOMETRICAL OPTICS
NISHITH Multimedia India (Pvt.) Ltd., 4 1 JEE MAINS - CW - VOL - I JEE ADVANCED - VOL - V GEOMETRICAL OPTICS NISHITH Multimedia India (Pvt.) Ltd., 7. Which one of the following spherical lenses does not exhibit dispersion? The radii of curvature of the surfaces of the lenses are as given in the diagrams (A) R1 R2 R1  R2 (B) R (C) R R (D) R . 8. A plane mirror of length 8 cm is moving with speed 3 m/s towards a wall in situation as shown in figure.A source of light S gives narrow and parallel light on to the mirror, then the speed of light spot formed on the wall is. 3m/s 8cm S=Source of light Wall (A) 8 m/sec (B) 6 m/sec (C) zero (D) 16 m/sec 9. A linear object is placed along the axis of a mirror as shown in figure. If ‘f’ is the focal length of the mirror then the length of image is. 3/2f 2f (A) (2f) / 3 (B) f (C) f / 3 (D) None 10. The x-z plane separates two media A and B with refractive indices 1 and 2 respectively. A ray of light travels from A to B. Its directions in the two media are given by the unit vectors r a i b j A      and r i j B        respectively where ˆ i and ˆ j are unit vectors in the x and y directions. Then. (A)     1 2 a (B)     1 2a (C)     1 2 b (D)    1 2b 11. A ray of light strikes a plane mirror at an angle of incidence 45o as shown in the figure. After reflection, the ray passes through a prism of refractive index 1.50, whose apex angle is 4o. The angle through which the mirror should be rotated if the total deviation of the ray is to be 90o is. (A)1o clockwise (B) 1o anticlockwise (C) 2o clockwise (D) 2o anticlockwise 12. A point source is situated at a distance x < f from the pole of the concave mirror of focal length f. At time t = 0, the point source starts moving away from the mirror with constant velocity. Which of the graphs below represents best, variation of image distance | v | with the distance x between the pole of mirror and the source. (A) (B) (C) (D) 13. The origin of x and y coordinates is the pole of a concave mirror of focal length 20 cm. The x-axis is the optical axis with x > 0 being the real side of mirror. A point object at the point (25 cm, 1 cm) is moving with a velocity 10 cm/s in positive x-direction. The velocity of the image in cm/s is approximately (A) – 80 i + 8 j (B) 160 i + 8 j (C) – 160 i +8 j (D) 160 i – 4 j
GEOMETRICAL OPTICS 4 2 NISHITH Multimedia India (Pvt.) Ltd., JEE ADVANCED - VOL - V NISHITH Multimedia India (Pvt.) Ltd., 14. A cubical block of glass of refractive index n1 is in contact with the surface of water of refractive index n2 . A beam of light is incident on vertical face of the block (see figure). After refraction, a total internal reflection at the base and refraction at the opposite vertical face, the ray emerges out at an angle . The value of is given by : (A) sin < 2 2 2 n1  n (B) tan  < 2 2 2 n1  n (C) sin  < 2 2 2 n1 n 1  (D) tan  < 2 2 2 n1 n 1  15. A biconvex lens of focal length 15cm is in front of a plane mirror. The distance between the lens and the mirror is 10cm. A small object is kept at a distance of 30cm from the lens. The final image is (A) Virtual and at a distance of 16cm from mirror (B) Real and at distance of 16cm from the mirror (C) Virtual and at a distance of 20cm form the mirror (D) Real and at a distance of 20cm from the mirror 16. Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is 60°). In the position of minimum deviation, the angle of refraction will be (A) 30° for both the colours (B) greater for the violet colour (C) greater for the red colour (D) equal but not 30° for both the colours 17. As the position of an object (u) reflected from a concave mirror is varied, the position of the image (v) also varies. By letting the u changes from 0 to  the graph between v versus u will be (A) v u (B) v u (C) v u (D) v u 18. The graph between the lateral magnification (m) produced by a lens and the distance of the image (v) is given by (A) v m 0 (B) v m 0 (C) v m 0 (D) v m 0 19. 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 P 45° v u (A) Smaller then f (B) Smaller then 2f (C) Larger then 2f (D) Larger than f
NISHITH Multimedia India (Pvt.) Ltd., 4 3 JEE MAINS - CW - VOL - I JEE ADVANCED - VOL - V GEOMETRICAL OPTICS NISHITH Multimedia India (Pvt.) Ltd., 20. For a concave mirror, if virtual images formed, the graph between m and u is of the form (A) m u (B) m f u 1 (C) m u 1 (D) m u 21. A ray of light travels from a medium of refractive index  to air. Its angle of incidence in the medium is i, measured from the normal to the boundary, and its angle of deviation is  .  is plotted against i which of the following best represents the resulting curve (A) /2 2 1  O i (B) i /2 2 1  O (C) /2 2 1  O i (D)  /2 2 1 O i 22. Following figure shows the multiple reflections of a light ray along a glass corridor where the walls are either parallel or perpendicular to one another. If the angle of incidence at point P is 30°, what are the angles of reflection of the light ray at points Q, R, S and T respectively Q T R P S (A) 30°, 30°, 30°, 30° (B) 30°, 60°, 30°, 60° (C) 30°, 60°, 60°, 30° (D) 60°, 60°, 60°, 60° 23. A point object is placed mid-way between two plane mirrors distance ‘a’ apart. The plane mirror forms an infinite number of images due to multiple reflection. The distance between the nth order image formed in the two mirrors is (A) na (B) 2na (C) na 2 (D) 3na 24. A bi-convex lens is formed with two thin plano-convex lenses as shown in the figure. Refractive index n of the first lens is 1.5 and that of the second lens s 1.2. Both the curved surfaces are of the same radius of curvature R = 14 cm. for this bi-convex lens, for an object distance of 40 cm, the image distance will be (A) –280.0 cm (B) 40.0 cm (C) 21.5 cm (D) 13.3 cm