Q.1
The image of an object, formed by a plano-convex lens at a distance of 8 m behind the lens, is real and is one-third the size of the object. The wavelength of light inside the lens is 2/3 times the wavelength in free space. The radius of the curved surface of the lens is …. [ IIT Advance 2013]
  • a) 1 m
  • b) 2m
  • c) 3m
  • d) 6m
Q.2
A ray of light travelling in the direction is incident on a plane mirror. After reflection, it travels along the direction . The angle of incidence is ..[ [IIT Advanced 2013]
ch-11_que_no-576_img_no1.png
ch-11_que_no-576_img_no2.png
  • a) 30째
  • b) 45째
  • c) 60째
  • d) 75째
Q.3
A right angled prism of refractive index µ1 is placed in a rectangular block of refractive index µ2, which is surrounded by a medium of refractive index µ3, as shown in the figure. A ray of light 'e' enters the rectangular block at normal incidence. Depending upon the relationships between µ1, µ2 and µ3, it takes one of the four possible paths 'ef', 'eg', 'eh' or 'ei'. Match the paths in List I with conditions of refractive indices in List II and select the correct answer using the codes given below the lists: [IIT Advance 2013]
List I List II
P. e → f μ1 > 2 μ2
Q. e → g µ2 > µ1 and µ2 > µ3
R. e → h µ1 = µ2
S. e → i µ2 < µ1 < 2µ2 and µ2 > µ3

ch-11_que_no-577_img_no1.png
  • a) P → 2 ; Q → 3; R → 1; S → 4
  • b) P → 1 ; Q → 2; R → 4; S → 3
  • c) P → 4 ; Q → 1; R → 2; S → 3
  • d) P → 2 ; Q → 3; R → 4; S → 1
Q.4
than one correct answer Q578) A light source, which emits two wavelengths λ1 = 400 nm and λ2 = 600 nm, is used in a Young's double slit experiment. If recorded fringe widths for λ1 and λ2 are β1 and β2 and the number of fringes for them within a distance y on one side of the central maximum arem1 and m2, respectively, then ..[ IIT Advance 2014]
  • a) β2 > β1
  • b) m1 > m2
  • c) From the central maximum, 3rd maximum of λ2 overlaps with 5th minimum of λ1
  • d) The angular separation of fringes for λ1 is greater than λ2
Q.5
A transparent thin film of uniform thickness and refractive index n1 = 1.4 is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index n2 = 1.5, as shown in the figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f1 from the film, while rays of light traversing from glass to air get focused at distance f2 from the film. Then … [ IIT Advance 2014]
ch-11_que_no-579_img_no1.png
  • a) | f1 | = 3R
  • b) | f1 | = 2.8 R
  • c) | f2 | = 2R
  • d) | f2 | = 1.4R
Q.6
A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.It is immersed in a lower refractive index liquid as shown in the figure. It is found that the light emerging from the block to the liquid forms a circular bright spot of diameter 11.54 mm on the top of the block. The refractive index of the liquid is …[ IIT Advance 2014]
ch-11_que_no-580_img_no1.png
  • a) 1.21
  • b) 1.30
  • c) 1.36
  • d) 1.42
Q.7
Four combinations of two thin lenses are given in List I. The radius of curvature of all curved surfaces is r and the refractive index of all the lenses is 1.Match lens combinations in List I with their focal length in List II and select the correct answer using the code given below the lists.
ch-11_que_no-581_img_no1.png
  • a) P-1, Q-2, R-3, S-4
  • b) P-2, Q-4, R-3, S-1
  • c) P-4, Q-1, R-2, S-3
  • d) P-2, Q-1, R-3, S-4
Q.8
Two identical glass rods S1 and S2 (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line) aligned. When a point source of light P is placed inside rod S1 on its axis at a distance of 50 cm from the curved face, the light rays emanating from it are found to be parallel to the axis inside SThe distance d is ,,[IIT Advance 2015]
ch-11_que_no-584_img_no1.png
  • a) 60 cm
  • b) 70 cm
  • c) 80 cm
  • d) 90 cm
Q.9
Paragraph Light guidance in an optical fiber can be understood by considering a structure comprising of thin solid glass cylinder of refractive index n1 surrounded by a medium of lower refractive index nThe light guidance in the structure takes place due to successive total internal reflections at the interface of the media n1 and n2 as shown in the figure. All rays with the angle of incidence i less than a particular value im are confined in the medium of refractive index nThe numerical aperture (NA) of the structure is defined as sinim. [ IIT Advance 2015] Q587A)More than one correct answer For two structures namely S1 with and S2 with n1=8/5 and n2=7/5 and taking the refractive index of water to be 4/3 and that of air to be 1, the correct option(s) is (are)
ch-11_que_no-587_img_no1.png
ch-11_que_no-587_img_no2.png
  • a) NA of S1 immersed in water is the same as that of S2 immersed in a liquid of refractive index 16/(3√15)
  • b) NA of S1 immersed in liquid of refractive index 6/√15 is the same as that of S2 immersed in water.
  • c) NA of S1 placed in air is the same as that of S2 immersed in liquid of refractive index 4/√15
  • d) NA of S1 placed in air is the same as that of S2 placed in water.
Q.10
Right angled triangular prism of refractive index n =√2 Light undergoes total internal reflection in the prism at the face PR when α has a minimum value of 45°. The angle θ of the prism is … [ IIT Advance 2016]
ch-11_que_no-588_img_no1.png
  • a) 15°
  • b) 22.5°
  • c) 30°
  • d) 45°
Q.11
A transparent slab of thickness d has a refractive index n(z) that increases with z. Here z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n1 and n2(> n1), as shown in the figure. A ray of light is incident with angle θ1 from medium 1 and emerges in medium 2 with refraction and θf with a lateral displacement l …[IIT Advance 2016]] Which of the following statement(s) is(are) true?
ch-11_que_no-589_img_no1.png
  • a) l is independent of n2
  • c) l is dependent on n(z)
  • b) n₁ sinθi = n₂ sinθf
  • d) n₁ sin θi = (n₂ - n₁) sinθ
Q.12
than one correct option Q590) A plano-convex lens is made of a material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of 10 cm away from the lens. Which of the following statement(s) is(are) true?
  • a) The refractive index of the lens is 2.5
  • b) The radius of curvature of the convex surface is 45 cm
  • c) The faint image is erect and real
  • d) The focal length of the lens is 20 cm
Q.13
A small object is placed 50 cm to the left of a thin convex lens of focal length 30 cm. A convex spherical mirror of radius of curvature 100 cm is placed to the right of the lens at a distance of 50 cm. The mirror is tilted such that the axis of the mirror is at an angle θ = 30θ to the axis of the lens, as shown in the figure. If the origin of the coordinate system is taken to be at the centre of the lens, the coordinates (in cm) of the point (x, y) at which the image is formed are [IIT Advance 2016]
ch-11_que_no-591_img_no1.png
  • a) (25, 25√3)
  • b) (0, 0)
  • c) (125/3, 25/√3 )
  • d) (50 -25√3, 25)
Q.14
than one correct answer Q592) While conducting the Young's double slit experiment, a student replaced the two slits with a large opaque plate in the x-y plane containing two small holes that act as two coherent point sources (S1, S2) emitting light of wavelength 600 nm. The student mistakenly placed the screen parallel to the x-z plane (for z > 0) at a distance D = 3m from the mid-point of S1S2, as shown schematically in the figure. The distance between the sources d = 0.6003 mm. The origin O is at the intersection of the screen and the line joining S1SWhich of the following is(are) true of the intensity pattern on the screen? [ IIT Advance 2016]
ch-11_que_no-592_img_no1.png
  • a) Hyperbolic bright and dark bands with foci symmetrically placed about O in the x-direction
  • b) Straight bright and dark bands parallel to the x-axis
  • c) Semi-circular bright and dark bands centered at point O
  • d) The region very close to the point O will be dark
Q.15
For an isosceles prism of angle A and refractive index µ it is found that the angle of minimum deviation δm = A. Which of the following options is/are correct ? [ IIT Advance 2016]
  • a) a) At minimum deviation, the incident angle i1 and the refracting angle r1 at the first refracting surface are related by r1 = (i1/2)
    ch-11_qn-593choice_img_no2.png
  • b) For this prism, the refractive index μ and the angle of prism A are related
    ch-11_qn-593choice_img_no3.png
  • c) For this prism, the emergent ray at the second surface will be tangential to the surface when the angle of incidence at the first surface is
  • d) For the angle of incidence i1 = A, the ray inside the prism is parallel to the base of the prism.
Q.16
Two coherent monochromatic point sources S1 and S2 of wavelength λ= 600 nm are placed symmetrically on either side of the center of the circle as shown. The sources are separated by a distance d = 1.8mm. This arrangement produces interference fringes visible as alternate bright and dark spots on the circumference of the circle. The angular separation between two consecutive bright spots is Δθ. Which of the following options is/are correct ?
ch-11_que_no-595_img_no1.png
  • a) A dark spot will be formed at the point P2
  • b) The angular separation between two consecutive bright spots decreases as we move from P1 to P2 along the first quadrant
  • c) At P2 the order of the fringe will be maximum
  • d) The total number of fringes produced between P1 and P2 in the first quadrant is close to 3000
Q.17
Light of λ=589 nm traverses a tank of height 20.06 m first filled with glycerine ( µ=1.47) and then carbon disulphide. The difference in the time taken to traverse the tank is 1.07× 10⁻⁸s. The refractive index of carbondisulphide is
  • a) 1.6
  • b) 1.62
  • c)1.58
  • d)1.63
Q.18
Two slits separated by a distance of 1mm are illuminated with red light of wave length 6.5×10⁻⁷ m. The interference fringes are observed on screen placed 1 m from the slits. The distance between the third dark fringe and the fifth bright fringe is equal to [ MPPMT 1995] [ MPPMT 1995]
  • a) 0.65 mm
  • b) 1.63 mm
  • c) 3.25 mm
  • d) 4.88 mm
Q.19
A slit of width 12×10⁻⁷ m is illuminated by light of wavelength 6000Å. The angular width of the central maximum is approximately
  • a) 30°
  • b) 60°
  • c)90°
  • d)0°
Q.20
A linear aperture whose width is 0.02 cm is placed immediately in front of a lens of focal length 60 cm. The aperture is illuminated normally by a parallel beam of wavelength 5 × 10⁻⁵ cm. The distance of the first dark band of the diffraction pattern from the centre of the screen is :-
  • a) 0.20 cm
  • b) 0.15 cm
  • c) 0.10 cm
  • d) 0.25 cm
Q.21
The diameter of the object lens of telescope is 5.0 m and wavelength of light is 6000 Å . The limit of resolution of this telescope is [AFMC 1997]
  • a) 0.15 sec
  • b) 0.06 sec
  • c)0.03sec
  • d)3.03 sec
Q.22
Light from a denser medium I goes to rarer medium II. When angle of incidence is θ, the reflected and refracted rays are perpendicular to each other. The critical angle is [ AFMC 2000]
  • a)sin⁻¹(cos θ)
  • b) sin⁻¹(cot θ)
  • c)sin⁻¹(tan θ)
  • d)sin⁻¹(1)
Q.23
The frequency of light wave in material is 2×1014Hz and wavelength is 5000Å. The refractive index of material will be... [ CBSE-PMT 2007]
  • a) 1.50
  • b) 3.00
  • c) 1.33
  • d) 1.40
Q.24
Time taken by sunlight to pass through a window of thickness 4mm whose refractive index is 3/2 is .. [ CBSE-PMT 1993]
  • b) 2×108 sec
  • d)2×1011 sec
  • a) 2×10⁻⁴ sec
  • c)2×10⁻¹¹
Q.25
ray of light from denser medium strikes a rare medium at an angle of incidence i ( see figure). The reflected and refracted ray's make an angle of 90° with each other. The angles of reflection and refraction are r and r'. The critical angle is [ IIT 1983]
ch-11_que_no-56_img_no1.png
  • a) sin⁻¹(tan r)
  • b) sin⁻¹(tan i)
  • c) sin⁻¹(tan r')
  • d) tan⁻¹(sin i)
Q.26
A beam of light of wave length 600nm from a distance source falls on a single slit 1mm wide and a resulting diffraction pattern is observed on a screen 2m away. The distance between the first dark fringes on ether side of central bright fringe is [ IIT 1994]
  • a) 1.2 cm
  • b) 1.2 mm
  • c)2.4 cm
  • d)2.4 mm
Q.27
An isosceles prism of angle 120° has a refractive index 1.Two parallel monochromatic rays enter the prism parallel to each other as shown. The rays emerges from the opposite faces [ IIT 1995]
ch-11_que_no-60_img_no1.png
  • a) are parallel to each other
  • b) are diverging
  • c) makes an angle 2[sin-190.72) - 30°] with each other
  • d) make an angle of 2sin-1(0.72) with each other
Q.28
A rectangular glass slab ABCD of refractive index n1 is immersed in water of refractive index n2 ( n1 > n2). A ray of light is incident at the surface AB of the slab as shown. The maximum value of the angle of incident αmax such that the ray comes out only from the other surface CD is given by [ IIT 2000]
ch-11_que_no-72_img_no1.png
  • a)
    ch-11_qn-72choice_img_no1.png
  • b)
    ch-11_qn-72choice_img_no2.png
  • c)
    ch-11_qn-72choice_img_no3.png
  • d)
    ch-11_qn-72choice_img_no4.png
Q.29
In Yong's double slit experiment intensity at a point is (1/4) of the maximum intensity. Angular position of this point is [ IIT 2005]
  • a) sin⁻¹ (λ/d)
  • b) sin⁻¹ (λ/2d)
  • c)sin⁻¹ (λ/3d)
  • d)sin⁻¹ (λ/4d)
Q.30
A light beam is traveling from region I to IV( figure). The refractive index in regions I, II, II and IV are no , no/2, no/6, no/8 respectively. The angle of incident θ for which the beam just misses entering region IV is .. [ IIT 2008]
ch-11_que_no-99_img_no1.png
  • a) sin⁻¹(3/4)
  • b) sin⁻¹(1/8)
  • c)sin⁻¹(1/4)
  • d)sin⁻¹(1/3)
Q.31
The angle of incidence at which reflected light is totally polarized for reflection from air to glass ( refractive index n) is [ AIEEE 2004]
  • a) tan⁻¹ (1/n)
  • b) sin⁻¹(1/n)
  • c) sin⁻¹(n)
  • d) tan⁻¹ (n)
Q.32
Two point white dots are 1 mm apart on blank paper. They are viewed by eye pupil diameter 3 mm. Approximately what is the maximum distance at which these dots can be resolved by the eye? [ Take wavelength of light=500 nm] [AIEEE 2005]
  • a)1 m
  • b)5 m
  • c)3 m
  • d)6 m
Q.33
If the refractive index of water is 4/3 and that of a given slab of glass immersed in it is 5/3, what will be the critical angle of incidence for a ray of light tending to go from glass to water [ Raj.PMT 1996]
  • d)It can not be determined from the given data
  • a) sin⁻¹(5/4)
  • b) sin⁻¹(3/5)
  • c)sin⁻¹(4/5)
Q.34
The average distance between the earth and moon is 38.6×104km. The minimum separation between the two points on the surface of moon that can be resolved by a telescope whose objective lens has a diameter of 5 metres with λ=6000 Angstrom, is [ MPPMT 1993]
  • a)5.65 m
  • b) 28.25 m
  • c) 11.30 m
  • d) 46.51 m
Q.35
Light of wavelength 6328Å is incident on slit having a width of 0.2mm. the width of the central maximum, measured from minimum to minimum of diffraction pattern on a screen 9.0 m away will be about [ MPPMT 1987]
  • a) 0.36°
  • b) 0.18°
  • c)0.72°
  • d)0.09°
Q.36
A beam of light of wavelength 600nm from a distance source falls on a single slit 1.00mm wide and the resulting diffraction pattern is observed on a screen 2m away. The distance between the first dark fringes on either side of the central bright fringe is [ IIT 1994]
  • a)1.2cm
  • b) 1.2 mm
  • c)2.4 cm
  • d)2.4 mm
Q.37
A single slit is located effectively at infinity in front of lens of focal length 1m, and it is illuminated normally with light of wavelength 600nm. The first minimum on either side of central maximum are separated by 4mm. Width of the slit is [ Kerala PMT 2004]
  • a) 0.1 mm
  • b) 0.2 mm
  • c) 0.3 mm
  • d) 0.4 mm
Q.38
A beam of light of λ = 600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2m away. The distance between first dark fringes on either side of the central bright fringe is
  • a) 2.4 cm
  • b) 2.4mm
  • c) 1.2 cm
  • d) 1.2mm
Q.39
In a diffraction pattern due to a single slit of width 'a', the first minimum is observed at an angle 30° when light of wavelength 5000 Å is incident on the slit. The first secondary maximum is observed at an angle of…[ AIPMT 2016]
  • a)
    ch-11_qn-556choice_img_no1.png
  • b)
    ch-11_qn-556choice_img_no2.png
  • c)
    ch-11_qn-556choice_img_no3.png
  • d)
    ch-11_qn-556choice_img_no4.png
Q.40
A point object O is placed at a distance of 20cm from a convex lens of focal length 10cm as shown in figure. At what distance x from lens should a convex mirror of focal length 60 cm, be laced so that final image coincides with object?
  • a) 10 cm
  • b) 40 cm
  • c)20 cm
  • d)final image can never coincide with the object under the given condition
0 h : 0 m : 1 s