File No.33/07/18/11/2014 VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD ANDHRA PRADESH - TELANGANA 2014-2015 PROGRAM M E 2ND - PHYSICS LIGHT - SOLUTION LIGHT 1. The sideways reversal of the image by plane mirror is virtual and erect. 2. When you look at yourself in a plane mirror, you see a virtual image that appears to be behind the mirror 3. You are watching your right palm in the plane mirror by placing it parallel to it. then you will observe your palm as Left palm 4. Cameras, Microscopes and Eye glasses . 5. A B i O Plane mirror From diagram, and “OP” represents, normal to the plane mirror 6. Periscope is employed to clearly view objects 2014which - 2015 cannot be seen directly due to obstruction. 7. The nature of the image formed by a plane mirror is virtual and erect, of the same size as the object and laterally inverted 8. A ray of light is incidence at an angle of 350 on a plane mirror is Plane mirror 0 35 Incident ray Re flected ray Incident ray = Reflected ray www.eabhyasacademy.com =350 9. Oiled paper allows only a part of the light to pass through it 10. Coming back of light into same medium from a boundary seperating two media is called Reflection 11. Angle of incidence is 00, angle of reflection is 00 & angle of deviation is1800 is a light incident along normal 12. Given = 450 angle of deviation = 20 = 900 13. The shortest length of a mirror which a man can see his full length is half of the height of man. 14. Focal length of the plane mirror is PATHF INDE R 1 CHAPTER SOLUTIONS - 2 File No.33/07/18/11/2014 VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD 15. When a plane mirror is rotated through an angle , the reflected ray turns through an angle 2 , then the size of the image is Remains the same 16. An object is placed symmetrically between the plane mirrors inclined at angle of 300. Then the total number of images formed is 11 n 300 360 360 1 1 11 images 30 17. The image formed by a pin hole camera is sharpest when the hole is very small. 18. When a convergent beam of light falls incident on a plane mirror , the image formed is Erect and real. 19. A man stands in a room with his eyes at the centre of the room. The height of the ceiling is H. The length of the shortest plane mirror, fixed on the wall in front of the man, so that the man can see full image of the wall behind him is H . 3 20. The danger signals are made red because the red colour is scattered minimum. 1. Angle of incidence = 150 Accodrding to laws of reflection i r 150 angle of deviation = 180 - 20 = 180 – 2(15)0 = 1500 2. Given snake is approaching a stationary plane mirror with a speed of 5m is then it observes that its image is approaching it with a speed of. 10 m/s. 3. From given diagram 2014 - 2015 300 600 0 0 i = 30 , Given = 60 , that angle is angle between reflected ray with plane mirror, from this angle of reflection = 90– 60 = 300. 4. i 40 0 W.K.T i r 40 0 5. Image of B= 7+2(2)=11 m 6. Govem distance between the mirror and his image is 4m, and he moves 1m towards the mirror, the distance between shyam and his image will be www.eabhyasacademy.com 4 + 2 (1) = 6m. 7. The sunlight consists of seven colour i.e, ‘VIBGYOR’ represents converging beam. 8. Light rays from different sources come to merge at apoint is conveiging beam and it is shown in given diagram. PATHF INDE R 2 CHAPTER SOLUTIONS - 2 File No.33/07/18/11/2014 9. VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD 720 n n 360 1 360 1 4 72 10. A plane mirror reflecting a ray of light rotated through an angle 100 about an axis through the point of incidence in the plane of the mirror and perpendicular to plane of incidence then the reflected ray rotates through an angle of 200. 11. Given i = 300 angle of incidence = angle of reflection (according to laws of reflection). 0 i = r = 30 12. You are standing in front of a plane mirror. which is approaching you with a speed of 10cm/sec. Then the speed of the image approaching you will be 10 cm/s. 13. Given 450 number of images = 360 = 14. 360 8 45 Given no. of images = 9 then n 360 1 360 n 1 10 2014 - 2015 36 15. r 300 , i 300 = 2 2(30) 600 angle of deviation = 180 2 1200 16. A ray of light is incident on a plane mirror at www.eabhyasacademy.com deviation produced by the mirror is 2 . 17. The image formed in a plane, mirror is as far behind as the objects is in front of it. If we approach a mirror with speed v the image approaches us with 2v. 18. The between incident ray and veritical upward is 400, and that between reflected ray and normal to the plane mirror is 700, that between normal and horizontal is 200 also as the angle between a pair of lines is equal to the angle between their normal therefore, angle between vertical and plane mirror is 200, that between mirror and horizontal is 700. 19. Deviation after the reflection from first mirror is 1200 That after reflection from the 2nd mirror is also 1200 PATHF INDE R 3 CHAPTER SOLUTIONS - 2 File No.33/07/18/11/2014 VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD M1 120 0 60 600 0 0 300 30 60 0 O M2 Total deviation 120 = 2400. Eye h 20. From the geometry of figure , h=60 m BRAIN TWISTERS 1. A plane mirror reflecting a ray of incident light is rotated through an angle about an axis through the point of incidence in the plane of the morror perpendicular to the plane of incidence. Then the reflected ray rotates through an angle 2 and the incident ray is fixed . 2. The angle according to laws of reflection incidence is equal to the angle of reflection, the angle of incidence is equal to the angle of reflection. According to laws of reflection. 3. The image is formed behind the mirror has the same size as the object, image is laterally inverted, if image 2014 - 2015 is virtual it cannot be received on a scree, the image is as far behind the mirror as the object is in front of it the Characteristics of an image formed by a plane mirror. 4. The normal by an angle , the reflected ray rotates by an angle 2 . If a plane mirror is rotated by an angle are plane mirror is rotated by an angle 1e for a fixed incident ray.. 5. The angle of deviation ‘d’ of light produced is 1800 – 2i The maximum value of angle of deviation is 1800 6. www.eabhyasacademy.com 7. A. Reflection - Silcer B. Lateral inversion - Plane mirror C. Translucent - Waxed paper D. Luminous object - Sun a) Regular reflection - polished smooth surfaces b) Irregular reflection - c) Angle of incidence - Angle between normal and incident ray d) Angle of reflection - angle between normal and reflected ray PATHF INDE R rough surfaces 4 CHAPTER SOLUTIONS - 2 File No.33/07/18/11/2014 VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD 8. a) Virtual image - It is always erect ‘n’ reflections from two plane mirrors inclined at an angle is given by b) Real image - It is always inverted due to reflection c) The deviation produced by - n(180- ) d) Formula for the angle of deviation 9. a) = 600 - n=5 b) = 400 - n=9 c) = 900 - n=3 d) = 1800 - n=5 For , no. of images = 10. 180-2i 360 -1 Light travels in a straight line as long as it is travel in a same medium and light appears to travel in straight lines. Both assertion and reason are correct and reason explains assertion. 11. For a normal incidence. the angle of deviation is 1800. The angle between the incident ray extended and the reflected ray is called the angle of deviation. Both assertion and reason are correct and reason does not explains assertion. 12. Light comes back into same medium from a boundary surface seperating two media is called reflection and the surface from which reflection takes places is called reflector. Both assertion and reason are correct and reason explains assertion. 13. In reflection , angle of incidences is always equal to angle of reflection, if a ray incident along normal to the mirror reflects its path. 14. In case of a plane mirror , distance of object and its image is eqaul from any point on the mirror, Keeping a point object fixed, if a plane mirror is moved image will also move. 2014 , -the2015 Both assertion and reason and correct and reason explains assertion. 15. W.K.T. no. of images n 360 if 720 , n 360 =5 72 So, both assertion reason are correct and reason explains assertion. 16. n 360 www.eabhyasacademy.com given n = 7, ? 17. n 360 360 360 1 n 1 450 8 n 360 1 180 2 180 120 60 0 PATHF INDE R 5 CHAPTER SOLUTIONS - 2 File No.33/07/18/11/2014 18. VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD For given problem 900 diagram r 60 from figure, i = 90 – 60 = 300. 19. i 1200 , 20. 180 2 180 120 60 0 1. If a spherical mirror is immersed in a liquid. it’s focal length will remain unchanged. 2. Mark correct option or options : The minimum distance between a real image and the real object in concave mirror is zero. 3. 4. r 1200 because of law of reflection. H 1.8 0.9 m 2 2 An unlit candle is 90 cm from a concave mirror of radius 60 cm. Where must a flame be put from the mirror so that its image may be seen coming out of the candle 45 cm. 2014 - 2015 5. 1 1 1 = n 1 f f u nu n 6. Vimage 2Vmirror Vobject speed of image with respect to mirror V = Vimage Vmirror 7. Incident ray is fixed, if mirror rotated through angle 150, then reflected ray will rotated through an angle = 300. 8. If the incident ray and the reflected ray from a mirror are mutually perpendicular toeach other then angle of incidence is the angle made by incident ray with normal is zero. i r www.eabhyasacademy.com 9. Angle between an incident beam and surface upon which it is indent. If a ray is incident an a mirror at a glancing angle ‘2g’. Angle of deviation is also 2g. 10. Given two plane mirrors are inclined at an angle of 900. If a ray of light is incident on one mirror at 600, then angle of deviation is 1800. 11. The maximum angle of deviation possible for a ray incident on a plane mirror is 1800 PATHF INDE R 6 CHAPTER SOLUTIONS - 2 File No.33/07/18/11/2014 12. VII CLASS - IIT/N.T.S.E FOUNDATION - OLYMPIAD Given angle between incident and reflected rays is 600. If mirror is rotated to increase the angle of incidence by 30, then now the angle between incident and reflected ray is 60 + 6 = 66°. 13. A ray of light reflected from a mirror rotated through 200 , i.e, 2 = 200 100 , angle of rotation of the mirror.. 14. A ray of light from a lamp fall normally on a vertical plane mirror at a distance of 1m and its im age is formed on a scale placed just above the lamp. When the mirror is rotated through an angle about a vertical axis, the spot of light on the scale is displaced through 10cm. Find is 1.9°. 15. A boy of height 1.5m with his eye level at 1.4m stands before a plane mirror of length 0.75 fixed on the well. The height of the lower edge of the mirror above the floor is 0.8 m. Then the boy can’t see his feet. 16. Identical twins stand at equal distances on opposite sides of an opaque wall. What is the minimum size of a window which must be cut in the wall, so that they can obtain a full view of each other is half the size of the twins. 17. In reflection, i r , and a ray incident along normal to the mirror reflects its path. Both are correct. 18. W.K.T. D 360 2 240 360 2 2 120 600 n 19. 360 1 60 n=5 One third of the height of the wall 2014 - 2015 500 Incident ray 100 I r Horizontal 40 0 Reflected ray 20. ir 100 500 2 www.eabhyasacademy.com [The angle between incident ray and reflected ray is (900+100=1000)] PATHF INDE R 7 CHAPTER SOLUTIONS - 2
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