Geometrical Optics Questions and Answers

63 A fish is looking up through the water sees the outside world contained in a circular horizon If water 4 and the fish is 12cm below the 3 and the surface the radius of the circle is 1 36 5 cm 3 36 7 cm 2 4 5 cm 36 4 cm 5

54 A man s near point is 0 5m and far point is 3m Power of spectacle lenses required for i reading purposes ii seeing distant objects respectively are 2 2D and 3D 1 2D and 3D 3 2D and 0 33D 4 2D and 0 33D

half of Initial intensity If a medium is placed between object and objective lens of microscope then resolving power of microscope will 1 Increase 2 Decrease 3 No change 4 Nothing can be prediced In single slit diffraction if we use red light in place of blue light then 1 fringe pattern will ann

2 Light waves a telescope must hav 4 All of the above ater waves For better resolution a 1 Large diameter objective 2 Small diameter objective 3 May be large 4 Neither large nor small The resolving power of

0 If the light from an ordinary source pass through a polaroid sheet then intensity of lig becomes 1 half 3 one fourth 2 remain same 4 Three fourth

A concavo convex lens of radii of curvatures 20 cm 10 cm respectively silvered on one side as shown then which of the following option is incorrect X O 3 If x 4cm then final is virtual enlarged 10 16 Silvered Surface 1 If x 8cm then final image coincide with object 2 If x 4cm then final image coincide with object lg 3 2 mi obiect is moving towards P then image is also moving towards P

A point object O is kept in front of a plane mirror AB having length 10m The line AM makes an angle of 53 with mirror An observer initially at point N on line CD start moving from rest towards D on line CD with constant acceleration 7 m s2 Then time for which he will see the object in mirror is C N 1 3 sec 10m 2 53 A 6m Silvered Surface 2 13 sec M 8m 3 4 sec M D 4 4 5 sec

Two lenses of achromatic doublet should have Equal lens powers Equal dispersive powers Equal ratio of lens powers and dispersive powers Equal magnitude of product of lens

a prism of refractive index 2 refracting angle A produces minimum deviation Dm of a r on one face at an angle of incidence 45 The values of A and Dm are respectively ONO No 45 45 45 60 60 30 60 45

iddle angle ches o the ce of rallel 9 A car is fitted with a convex side view mirror of focal length 20 cm Asecond car 2 8 m behind the first car is overtaking the first car at relative speed of 15 m s The speed of the image of the second car as seen in the mirror of the first one is 1 m s 2 10 m s 3 15 m s 4 m s 15 10

A2 cm high object is placed on the principal axis of a concave mirror at a distance of 12 cm from the pole If the image is inverted real and 5 cm high The location of the image and the focal length of the mirror is NCERT 1 30 cm 8 6 cm 3 30 cm 10 cm 2 8 6 cm 30 cm 4 10 cm 30 cm

4 8 0 m from the person A ray of light is incident at 50 on the middle of one of the two mirrors arranged at an angle of 60 between them The ray then touches the second mirror get reflected back to the first mirror making an angle of incidence of 1 50 2 60 3 70 4 80

75 m A concave mirror has a focal length 20 cm The distance between the two positions of the object for which the image size is double of the object size is 3 30 cm 4 60 cm 1 20 cm 2 40 cm An object is placed on the princi

Fig Shows a plane mirror onto which a light ray incident If the incidenting light ray is turned b 10 and the mirror by 20 as shown then the angl turned by the reflected ray is 10 TTT 11 300 lockwico 30 reflected ray 7772200 2 30 anticlock wise

3 50 A small object is placed 10 cm infront of a plane mirror If you stand behind the object 30 cm from the mirror and looks at its image the distance focussed for your eye will be 1160 cm 2 20 cm 3 40 cm 4 80 cm

A particle is projected from ground with 25 m s at 37 with horizontal A vertical plane mirror initial at a distance 30m from point of projection is moving away from point of projection with 10 m s The relative separation between particle and its image in plane mirror at t equal to 2sec will be 10m s 1 60m 25m s 2 20m 37 30m wan Silvered Side 3 40m Space for Rough Work 4 10m

A 4 5 cm needle is placed 12 cm away from a convex mirror of focal length 15 cm The position of image and the magnification respectively are 5 2 6 7 cm 1 8 7 1 3 33 cm 3 0 15 cm 1 8 4 6 7 cm 519

A ray of light incident at an angle 0 on a refracting face of a prism emerges from the other face normally If the angle of the prism is 5 and the prism is made of a material of refractive index 1 5 the angle of incidence is 1 7 5 2 5 3 15 4 2 5 New Ligh

please make me understand I am not getting understand Please explain in detail so that I can understand better

In the figure shown there is a equi convex lens of radii of curvatures 20cm The observers A B are at rest Slab lens are moving rightward as shown then At rest O 5cm air 3cm 10cm s u 1 5 8cm A air 5cm s 1 5 B air 1 Velocity of object O as observed by observer A is 10 cm s is towards right 2 Velocity of object O as observed by observer B is 75 cm s is towards right 3 Velocity of object O as observed by observer B is 75 cm s is towards left 4 Velocity of object O as observed by observer B is 85 cm s is towards right

Which of the following statements is wrong for an image formation of a real object NCERT Pg 315 1 The magnification produced by convex mirror is always less than one 2 A virtual inverted same size image can be obtained using plane mirror 3 A virtual erect magnified image can be formed using a concave mirror 4 A real inverted same sized image can

What is the distance of the image of the point object O from the surface of water in the diagram shown below where bottom of the container is silver polished 12 cm 1 30 cm 2 34 cm 3 20 cm 4 15 cm O 16 cm What is the distance of the image of the int object from the surface of water in e diagram shown below where bottom the container is silver polished 16 cm cm WA 1 30 cm 2 34 cm 3 20 cm 4 cm

Find the right condition s for Fraunhoffer diffraction due to a single slit Multiple correct WB PMT 2015 Your Answer PARTIALLY CORRECT X Source is at infinite distance and the incident beam has converged at the slit Source is near to the slit B and the incident beam is parallel ATTEMPTED Source is near to the slit ATTEMPTED Source is at infinity and the incident beam is parallel

When light passing through rotating nicol is observed no change in intensity is seen What inference can be drawn Your Answer INCORRECT B The incident light is unpolarized The incident light is circularly polarized FIRST ATTEMPT The incident light is cunpolarized or circularly polarized The incident light is SECOND ATTEMPT

When a transparent sheet of thickness t and refractive index u is introduced in one of the paths in YDSE having slit width d and distance between slit and screen is D then the fringe pattern shifts by Only one correct answer A 1 t B C d D 1 t 2 1 t 11

Q12 Two plane mirrors intersect at right angles as shown in figure A light ray incident on first mirror at a point 12 cm from their point of intersection The angle of incidence at first mirror for which the light ray strikes the midpoint of second mirror is O A 60 O 8 30 O C 45 12 00 around to have full circulos view of the roomsurround

Q1 Light is incident on a right angle prism as shown in figure On the hypotenuse of prism a drop of liquid is placed The refractive index of prism is 1 62 The maximum refractive index that the liquid may have if the light is to be totally reflected is 60 90 Liquid drop 30

79 In a glass prism one face is silvered A ray of light falls on the other face at an angle of 45 After refracting at the face it is subsequently reflected from the silvered face and retraces its path If the refracting angle of the prism is 30 the refractive index of the material of the prism is 3 D 2 1 3 3 2 2 2 4 3

A glass prism of refractive index 1 5 is immersed in 4 a liquid of refractive index as shown in the figure 3 A light beam incident normally on the face PQ is totally reflected to reach the face QR if 1 sin 0 8 9 1 5 4 3 2 sin0 8 9

onem Now for second order minima 0 lution a 2 Equating by 0 10 3 we obtain a 0 8 mm a 2NO MArme marmy So 2 xample 17 A beam of light of wavelength 600 nm from a distance source falls on a single slit 1 mm wide and resulting diffraction pattern is observed on a screen 2 m away What is the distance between the first dark fringes on either side of the central bright fringe 1 E

Two plane mirror arc enclined to each other as show ray of light is incident at an angle of 30 on one of the The ray after reflection falls on second mirror and fina retrace its path calculate the angle between mirror 1 60 2 20 CE 30 2 45 4 4 0 G

A monochromatic light is travelling in a medium of refractive index n 1 6 It enters a stack of glass layers from the bottom side at an angle 0 30 The interfaces of the glass layers are parallel to each other The refractive indices of different glass layers are monotonically decreasing as n n man where nm is the refractive index of the mh slab 0 1 see the figure The ray is refracted out parallel to the interface between the m 1 th and mh slabs from the right side of the stack What is the value of m th and An m m 1 13 321 2 1 n mAn n m 1 An n 3An n 2An n An n

An object is placed at a distance x from a convex lens The power of the lens required to have an image real times magnified is n 1 nx nx n 1 nx n 1 On 1 nx

A plane surface separates a denser medium of refractive index 1 50 from air A plane wavefront travelling in air is incident on the interface of an angle of incidence 30 The angle of refraction is O sin 0 25 O sin 0 33 O sin 0 9 O sin 0 46

Case Study 3 The nature position and size of the image formed by a spherical mirror depends on the position of the object in front of it The image formed may be real or virtual for different positions of the object The image is either magnified reduced or has the same size depending on the position of the object Drawing the ray diagrams is an ideal way to illustrate the formation of images by spherical mirrors Each small portion of an extended object of finite size placed in front of a spherical mirror acts like a point source However it is more convenient to consider only two rays for the sake of clarity of the ray diagram These rays are so chosen that it is easy to know their directions after reflection from the mirror The intersection of at least two reflected rays give the position of image of the point object In concave mirror when object is at infinity and rays are coming parallel to principal axis then image is formed

A needle of length 10 cm is placed along the principal axis of a concave mirror of focal length 20 cm such that the end closer to mirror is at 40 cm from the mirror The lateral magnification of image formed is wl 3 2 3 43

An optical bench has 1 5 m long scale having four equal divisions in each cm While measuring the focal length of a convex lens the lens is kept at 75 cm mark of the scale and the object pin is kept at 45 cm mark The image of the object pin on the other side of the lens overlaps with image pin that is kept at 135 cm mark In this experiment the percentage error in the measurement of the focal length of the lens is 2019

If the refractive index of glass is 3 2 and that of water is 4 3 the critical angle for glass water media is 3 4 A sin sin 86 9 3 2 3 24 32 15 1 B D sin sin 819 45

Choose the correct statement among the followings A In outer space the sky looks dark and black instead of blue B Danger signal lights are red in colour C The sun appears white when it is overhead in the sky D We can see the sun before the actual sunrise by about two minutes The correct option is O Only A and C Only B and C O Only B C and D All A B C and D

Arrange the following optical media in increasing order for speed of light in them Air Glass Diamond Water Air Water Glass Diamond Diamond Water Glass Air Diamond Glass Water Air Air Glass Diamond Water

The path of a light ray inside a transparent slab of variable refractive index is y 4x A light ray travelling in air falls on the surface of the slab at an angle 30 as shown in the figure The refractive index of the slab at y 0 5 m is Kro 555 Keso no es todos B o mod War as 50 Bomo 0055308 y 0 5 m 5g 30 Options 1 1 33 21 5 3 1 46 1 28 0 5m os 500 500 y 4x 5 os ras 360m 30 So 0 0 Normal 30 500 Slab 76302 air mo

A cylindrical solid rod made up of material of refractive index is given A light beam enters from one circular end of the cylinder and comes out just brushing the outer surface along the length What should be the angle of incidence on the circular face F Only one correct answer A sin B sin C sin 1 2 1 1 G

A plano concave lens having index of refraction 1 50 is placed on a flat glass plate as shown in Figure P37 64 Its curved surface with radius of curvature 8 00 m is on the bottom The lens is illuminated from above with yellow sodium light of wavelength 589 nm and a series of con centric bright and dark rings is observed by reflection The interference pattern has a dark spot at the center sur rounded by 50 dark rings of which the largest is at the outer edge of the lens a What is the thickness of the air layer at the center of the interference pattern b Calcu late the radius of the outermost dark ring c Find the focal length of the lens

A prism of refractive index n and another prism of refractive index n are stuck together as shown in the mothong figure n and no depend on A the wavelength of light according to the relation A mothongo mathongo mothongo mathongamathongo n 1 2 and n 1 45 1 mathonge mathongo Amathonga mata The wavelength for which rays incident at any angle on the interface BC pass through without bending at that mathongo mothongo mathongo mathonga mathongo mathongo Ray Optics Questions with Answer Keys interface will be nothongo C170 e 14 10 8 x 107 nm D mathongemathongs 90 1 8 x 10 14 hongo 1 MathBole TohMathonGomathongo www mathongo com mothongo mathongo JEE Main 2021 July Chapter wise Questions MathonGo mathongs mathonga mathongo

A thin equiconvex glass lens 1 5 of radius of curvature R and a thin plano concave lens u 1 4 are kept in contact and the plane surface is silvered This lens system is placed in air When a point object is placed at a distance 20 cm from the lens system on its principal axis the image formed by the lens system coincides with the object Then the value of radius of curvature R is A 12 cm C 24 cm B 18 cm D 30 cm 1 5 H 1 4

Review problem A flat piece of glass is held stationary and horizontal above the flat top end of a 10 0 cm long vertical metal rod that has its lower end rigidly fixed The thin film of air between the rod and glass is observed to be bright by reflected light when it is illuminated by light of wavelength 500 nm As the temperature is slowly increased by 25 0 C the film changes from bright to dark and back to bright 200 times What is the coefficient of linear expansion of the metal

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Q7 25 July 2021 Shift 2 A ray of light entering from air into a denser medium of refractive index as shown in figure The light ray suffers total internal reflection at the adjacent surface as shown The maximum value of angle should be equal to mathongo So mathongo 1 17 1 sin 2 sin 3 sin 4 1 5 mathongo mathongo mathonge 4 ma3ge mathongo Wmathongo mathongo magmathongo mothongo mathoniga mathongo mathanga mathongo mathongo mathongo mathongo mathongo mathonga mathanga mothongo mothongs mathongo mothongo mathongs mathongs mathongo mathongo mathongamathanga mathonga mathongo

An object of height 5 cms is placed in front of a concave mirror of focal Length 15 cms at a distance of 10 cms Find the image distance image Height and the nature of the image 2

An oil film n 1 45 floating on water is illuminated by white light at normal incidence The film is 280 nm thick Find a the color of the light in the visible spectrum most trongly reflected and b the color of the light in the pectrum most strongly transmitted Explain your reasoning