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Problem 1. A ray of light is incident on a plane mirror along a, vector (I +j –k). The normal on incident point is along (I +j ). Find, the unit vector along the reflected ray.
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Problem 2. A point source of light it is placed at distance L in, front of the centre of a mirror of width d hangs vertically on a, wall. A man walks in front of the mirror along a line parallel to, the mirror at a distance 2L from it. Find the the distance over, which I can see the image.
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Problem 3. An object O is placed in between two parallel mirrors, as shown in figure find the separation between nth order images.
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Problem 4. An object O is moving with the velocity shown in the, figure find the velocity of the image of the object in the mirror.
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Problem 5. An object O is Placed at the centre of a cubical room if, if two adjacent walls and the ceiling office room is a plane mirror, then find the number of images formed.
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Problem 6. If the width of face is L and distance between two eyes, is d then what should be the minimum width of mirror so a man, can see his complete face in mirror?
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SUCCESS FORMULA =, STUDY EACH POINTS CAREFULLY, MAINTAIN QUALITY, SAVE TIME
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Problem 1. If the pole of a concave mirror is at origin and focal, length of mirror is 30 cm and a point light source is placed at coordinate point (40,10) cm. Find the position of image.
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Problem 2. If an object placed infront of a concave mirror of focal, length 30 cm as shown in a figure . Find the size of image.
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Problem 3. If a point object placed infront of a convex mirror of, focal length f cm. Find the position of image.
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Problem 4. If the image of an object placed perpendicular to the, principle axis in front of a spherical mirror is half of the size of, object and virtual. If focal length is 40 cm find the position of, object and image.
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Problem 5. If a point object placed at x distance from focaus and, image forms at y distance from focus of a concave mirror then, find the focla length.
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Problem 6. A thin rod of length f/3 is placed along the optical axis, of a concave mirror of focal length f such that its real image just, touches the object calculate the magnification produced by the, mirror.
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Problem 7. Find the focal length for marginal ray for a spherical, mirror.
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Problem 8. If an object is moving towards pole of concave mirror, with constant speed then it’s image has…., a) Only speed, b) Speed and acceleration, c), Only acceleration, d) None of these
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Problem 9. Find the acceleration of the image if an object is, moving towards pole of the spherical mirror.
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Problem 10. A point object is moving towards and parallel to, principal axis of a concave mirror of focal length 30 cm with, 10m/s velocity. Find the velocity of its image and acceleration of, the image when object is at 40 cm from the mirror.
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Problem 11. A point object is moving towards and parallel to, principal axis of a concave mirror of focal length 40 cm with 10, m/s velocity. Find the velocity of its image and acceleration of the, image when object is at 40 cm from the mirror.
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Problem 12. A point source is placed midway between two, converging mirror having equal focal length f as shown in figure., Find the value of d for which only one image is formed.
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Problem 13. A point source is placed infront of a concave mirror of focal length, 30 cm at 45 cm from pole 10 cm above principal axis a convex mirror of focal, length 20 cm is placed at 100 cm on same optical axis. Find the final position of, image considering first reflection at concave mirror.
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Problem 14. A point source is placed infront of a concave mirror of focal length, 30 cm at 45 cm from pole 10 cm above principal axis a convex mirror of focal, length 20 cm is placed at 60cm on same optical axis. Find the final position of, image considering first reflection at concave mirror.
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Problem 15. A point source is placed infront of a concave mirror of focal length, 30 cm at 45 cm from pole 10 cm above principal axis a convex mirror of focal, length 20 cm is placed at 60cm on different parallel optical axis 5 cm above the, concave mirror. Find the final position of image considering first reflection at, concave mirror.
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Problem 16. A point source is placed infront of a concave mirror of focal length, 30 cm at 45 cm from pole and 10 cm above principal axis a convex mirror of, focal length 20 cm is placed at 100cm on different parallel optical axis 5 cm, below the concave mirror. Find the final position of image considering first, reflection at concave mirror.
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Problem 17. A point source is placed infront of a concave mirror of focal length, 30 cm at 45 cm from pole on principal axis if mirror cut in to two equal parts, and drawn 1 cm apart perpendicular to the axis how will the image formed.
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Problem 18. A point source is placed infront of a concave mirror of focal length, 40 cm at 120 cm from pole on principal axis if mirror cut in to two equal parts, and drawn 2 cm apart perpendicular to the axis how will the image formed.
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FOR JEE MAIN AND NEET, THERE IS NO ANY SHORTCUT TO THE SUCCESS
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EXAMPLE 1: If a ray of light incidence on a water layer of, thickness 30 cm and refractive index 3/2 at a small angle of, incidence 37°. Find the lateral displacement.
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EXAMPLE 2: If a fish is inside the water at depth of 4 m and a, man watching it from 4 m above the water then at what distance, fish appear to the man and man appear to the fish?
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EXAMPLE 3: A small air bubble is inside a glass cube of side 12cm. When a, man looks from one face then it appears at 5cm and when looks from, opposite face it appears at 3 cm. Find the actual position of bubble and, refractive index of slab.
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EXAMPLE 4: A plane mirror of thickness 3cm of glass silvered on the back, surface. A point object is placed at a distance of 9 cm from the unsilvered, face of the mirror. Find the position of brightest image.
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EXAMPLE 5: A pole of length 2m stands half dipped in a swimming pool with, water level 1 m higher than the bed its sunlight is coming at angle of 53° with, the vertical find the length of the shadow of the pole on the bed.
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EXAMPLE 6: A cylindrical vessel whose diameter and height both are equal, to 30 cm in which a particle P is placed at a distance 5 cm from the centre an, eye is placed at a position such that the age of bottom is just visible. Upto, what minimum height should water be poured in the Vessel to make the, particle P visible.
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EXAMPLE 7: A light ray is incidence on a transparent sphere making an, angle of 60° with the diameter such that emergent Ray becomes parallel to, the diameter shown in figure find the refractive index of of medium of sphere.
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EXAMPLE 8: A light ray is incidence on a transparent slab of thickness 50, cm making an angle of 53° with the normal on the origin as shown in figure. If, the refractive index of medium is variable as μ = 1+2x2 where x is distance, from origin in meter.
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EXAMPLE 9: A Concave mirror of radius 40 cm is placed inside water 30 cm, deep inside with its reflecting surface upward and principal axis is vertical., Rays are incident parallel to the principal axis of concave mirror find the, position of image from upper surface of water.
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EXAMPLE 10: A concave mirror of radius R is kept on a horizontal table., water is poured in up to a height h where should an object be placed so that, its image is formed on itself?
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EXAMPLE 11: A Concave mirror of radius 40cm lies on a horizontal table, and water is filled in it up to a height of 5cm. A small dust particle floats on the, water surface on the principal axis of mirror locate the image of the the, particle.
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EXAMPLE 12: A point source of light is placed at a distance h below the, surface of a large and deep lake. Find the area on the surface upto which this, source of light can lighten up
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EXAMPLE 12: An optical fibre consist of core of refractive index μ1, surrounded by cladding of refractive index μ 2. A beam of light enters from air, at an angle α with the axis of fibre find the maximum value of for which Ray, can be traveled through fibre.
