RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

Straight Objective Type

This section contains multiple choice questions. Each question has 4 choices (A), (B), (C) and (D),
out of which Only One option is Correct.

1. Two coherent point sources S1 and S2 of Z

Z=d
monochromatic light of wavelength  = 4500 A are screen
O[0, 0, d]
located as shown in the figure [S1S2 = 3]. A screen
which can be represented by plane z = d. Number 100 
of dark circular fringes formed on the screen are
S2[0, 0, 3]
(A) 3 (B) 4
3
(C) 6 (D) 8
S1[0, 0, 0]

2. In a YDSE apparatus, two films of thickness tA and tB, having refractive indices A and B are
placed in front of slits A and B respectively. If tAA = tBB the central maximum will
(A) not shift (B) shift towards A if tA < tB
(C) shift towards B if tA < tB (D) shift towards A if tA > tB

3. In young’s double slit experiment. Assume intensity of each source is I0 and K1 is equal to
I0
difference of maximum and minimum intensity. Now intensity of one source is made and
4
K2 is again difference of maximum and minimum intensity. Then K1/K2 =
(A) 4 (B) 3
3
(C) (D) 2
4
4. Two coherent waves represented by
 2x1   2x 2 
y1 = A sin   t   and y2 = A sin   t  
  6   8
are superposed. Find the path difference (x1  x2) to produce constructive interference.
 1 
(A) n (B)  n  
 48 
(C) (n  48) (D) n/2

5. In Young’s double slit experiment with light of wavelength  = 600 nm intensity of central
fringe is I0. Now one of the slit is covered by glass plate of refraction index 1.4 and thickness t
= 5  m, the new intensity at the same point on screen will be:
I0 3I0
(A) (B)
4 4
I0
(C) I0 (D)
2
6. In YDSE, when a point source S1 of monochromatic light of wavelength 1 is used, the
number of bright fringes obtained on the screen is n1. If the point source S1 is replaced by
another point source S2 of monochromatic light of wavelength 2 (< 1), the number of bright
fringes obtained on the same screen is n2, then:
(A) n2  n1 (B) n2  n1
(C) n1 = n2 =  (D) data insufficient
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

7. Two In-coherent point sources of light SA, SB of same P

screen
power are placed at the level of the slits S1 and S2 as  S1 5D/4d
SA
shown. Take D >> d. An interference pattern is observed
on the screen. If the sources emit monochromatic light of the d O

same wavelength , what fraction of total intensity observed SB

S2
at a point P (OP = D/d) on the screen is due to source SB
(Take d = 2D . Point O lies at the middle level of slits) D D

(A) 4/5 (B)1/5

(C) 1/2 (D) 1

8. Consider two coherent monochromatic (wavelength ) S1

P
sources S1 and S2 separated by distance d. The ratio of
intensity of S1 and that of S2 (which is responsible for d
interference at point P, where detector is located) is 4. S2
T h e d i s t a n c e o f p o i n t P
9
from S1 is (if the resultant intensity at point P is equal to times of intensity of S1)
4
[Given S2 S1P is 90] (d > 0, n is a positive integer)
d2  n2  2 d2  n2  2
(A) (B)
2n  2n 
n d 2n  d
(C) (D)
d2  n2  2 d2  n2  2

9. Two coherent sources S1 andS2 are kept on the S1 y

edges of a step as shown in the figure. An

infinitely long screen is placed on the right side 8 x
of sources and lies along y - z plane. Calculate
total no. of maximas observed on the
S2
screen. PS1  8 andPS2  6 . Where  is
wavelength of light used. (There is no reflection P
6
from steps)
(A) 18 (B)
16
(C) 14 (D) Screen
12

10. Intensity due to a line source S1 at a distance of r is I0 Line source

S1 r
and intensity due to other line source S2 at a distance
of r is 4I0 and frequency of both source are equal. If P
interference occurs at a point P as shown in the figure
and wavelength of both sources is r, find the resultant
intensity (in watt/m2) at P. (where I0 = 2 watt/m2) 4r
(A) 8 (B) 4
Line source S2
(C) 2 (D) 1
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11. ABC is a spherical wavefront centred at O symmetric A S

about BE is incident on slits S1 & S2. BS1 = 3, S1S2 = 4, S2
BO = 6, S1E = 128 and  is the wavelength of incident
wave. A mica sheet of refractive index 1.5 is pasted on S2.
E
The minimum value of thickness of mica sheet for which B S1 O
central fringe forms at E will be
31 15
(A) (B) C
8 8
5 7
(C) (D)
8 8

Straight Objective Type

This section contains multiple choice questions. Each question has 4 choices (A), (B), (C) and (D),
out of which ONE OR MORE THAN ONE may be correct.

1. A young double slit apparatus is immersed in liquid of air

refractive index 4/3 as shown in figure. Slit s1 and s2 is
S1
covered with thin glass of equal width having refractive
d
index 5/3 and µ respectively then: O
(A) central maxima will be at point o when =4/3 S2
(B) central maxima will be at point o when  =5/3
(C) central maxima will be below point o when  =5/3
D>>d

(D) Central maxima will be above point O when  =5/3

2. In a young’s double slit experiment minimum intensity is found to be non-zero. If one of the
slits is covered by a transparent film which absorbs 10% of light energy passing through it,
then
(A) Intensity at maxima must decrease (B) Intensity at maxima may decrease
(C) Intensity at minima may increase (D) Intensity at minima may decrease

3. Two light rays going through different media interfere at point. One of the rays is reflected by
a mirror before the interference. The phase difference between the rays will depend on
(A) path lengths of the rays (B) the media
(C) the reflection (D) none of these

4. White light is used to illuminate the two slits in a Young’s double slit experiment, the
separation between the slits is a and the screen is at a distance D (>>a) from the slits. At a
point on the screen directly in front of one of the slits, certain wavelength are missing some of
these missing wavelengths are
a2 2a2
(A)   (B)  
D D
a2 2a2
(C)  (D) 
3D 3D
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

5. Carefully analyse the diagram and choose the correct option(s)

Spherical Spherical
wave wave

(A) Focus (B) Focus

Thick Thick
Plane lens Plane lens
Wave Wave

Spherical Spherical
wave wave

(C) Focus (D) Focus

Thick Thick
Plane lens Plane lens
Wave Wave

6. A hollow cardboard tube contains a single or

combination of two optical devices. If a parallel beam of light
is incident from left, along the axis of the tube and a parallel
beam emerges from the right along the axis, which of the
following optical system can be used inside the tube
(A) converging lens + diverging lens (B) converging lens + converging lens
(C) diverging lens + diverging lens (D) prism

7. A parallel beam of wavelength  = 4000 A falls on a Screen

Young’s double slit apparatus. The slits and the screen are
kept fixed and a converging lens is moved between the S1

prism and the screen. For two positions of the lens

(between the slits and the screen), we get two sharp
images of slits on the screen in each case. The images are S2

separated from each other by distance 4.5 mm in one case D = 150 cm

and 2 mm in the other. If the lens is removed and
interference pattern is observed on the screen. Then
(A) The fringe width of the pattern on the screen is 0.2 mm.
(B) The fringe width of the pattern on the screen is 0.1 mm
(C) The focal length of the lens is 36 cm
(D) The focal length of the lens is 24 cm.
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

Linked Comprehension Type

This section contains paragraphs. Based upon each paragraph, 3 multiple choice questions have to
be answered. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is
correct.

` Paragraph for Question Nos. 1 to 3

Two coherent point light sources frequency are placed at x = -d/2 and x = d/2. These sources are
surrounded by a spherical screen having equation x2 + y2 + z2 = R2 (where R >> d). The sources
emit monochromatic light of wavelength  ( = d/3).
Waves from both the sources reach screen and superimpose. When waves reaching any point on
the screen have a constant path difference of n (where  is wavelength of light and n is some
integer), the superposition of these waves is constructive in nature (i.e. maximum intensity) n may
be called as order of maximum.

1. The number of maximas on the screen

(A) 7 (B) 12
(C) 6 (D) none of these

2. As screen is a bounded one therefore the length of maxima is finite which of the following
data are correct about shape and length of second order maxima
2R 5 2R 5
(A) hyperbola, (B) circle,
3 3
2R 2R
(C) hyperbola, (D) circle,
3 3

3. Which of the statements is incorrect about the interference experiment explained above
(A) if radius of spherical screen is doubled the intensity of maxima will become one fourth.
(B) All maximas are equally spaced along x-axis.
(C) The equation of first order maximum is y2 + z2 = (8/9) R2 and x = R/3.
(D) none of these

Paragraph for Question Nos. 4 to 6

Interference from light reflected by step structures or partially overlapping scale produces the
iridescent colours seen in many butterflies, moths, birds and fish. A stunning example is the
shimmering blue of the MORPHO butterfly. Figure shows the MORPHO wing as viewed under an
electron microscope.
1
2
 = 1.5 t1 air = 1
t2 Air
fig(a)  = 1.5
fig(b)
fig(c)
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

The tree like structure that projected up from the top surface of the wing [in the figure (a)] are made
of a transparent material. Light is thus reflected from the tops of successive steps thickness t 1, with
spacing t2 between the step where the index of refraction is  = 1.5 [in figure (c)]. Light is assumed
to incident normally on the wings and reflections are refraction are shown in the figure (c)

4. What is the optical path difference (in air) between the ray 1 and ray 2 as shown in figure
(c).
(A) 2t1 + 2t2 (B) 3t1 + 2t2
(C) 2t1 + 3t2 (D) 3t1 + 3t2

5. Choose the correct option for a relation between the constructively interfering wavelength 0
(in air) and the optical path difference in air
0 0
(A) 2t1 + 2t2 = (2n  1) , where n = 0, 1, 2, … (B) 3t1  2t 2  (2n) , where n=1,2, …….
2 2
 
(C) 3t1  2t 2  (2n  1) 0 , where n = 0, 1, 2, … (D) 2t1  2t 2  (2n) 0 , where n=1,2, …….
2 2

6. For a typical MORPHO butterfly t1 and t2 are nearly equal to 70 nm and 130 nm respectively.
Then choose the dominant colour of the wing, when we see when looking at the butterfly
wing at normal incidence.
Colour Wavelength(nm)
Red 620-780
Orange 590-620
Yellow 570-590
Green 500-570
Blue 450-500
Violet 350-450

(A) Red (B) Yellow

(C) Blue (D) Violet

Paragraph for Question Nos. 7 to 9

A monochromatic beam of light falls on Young’s double slit S1

experiment apparatus as shown in figure. A thin sheet of
glass is inserted in front of lower slit S2. ( = 600 nm is  d
O
wavelength of source). S

2
d<<D
t
D

7. The central bright fringe can be obtained

(A) at O (B) at O or below O
(C) at O or above O (D) Anywhere on the screen

8. If central bright fringe is obtained on screen at O

(A) (  1)t = d sin  (B) (  1)t = d cos 
t d
(C) t = d  (D) 
  1 sin 
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

9. The phase difference between central maxima and fifth minima is


(A) (B) 9
6
3 
(C) (D) 8 
2 6

Paragraph for Question Nos. 10 to 12

t
In Young’s double slit experiment, a plane monochromatic wave S1
A
of wavelength 6000 Ao, is incident normally on the slit plane as 10 mm 0.48 mm

shown in the figure. A perfectly transparent film of thickness t, O

and refractive index 1.5 is placed in front of the slit S1. The S2
2m
intensity of light on the screen near O is I0 due to each slit.
10. Intensity at A if t = 0.6 m
(A) 4I0 (B) 3I0
(C) 2I0 (D) zero

11. The minimum value of t (t > 0) for intensity to be the maximum at O.

(A) 1.2 m (B) 12 m
(C) 6 m (D) 0.6 m

12. If film with thickness calculated in above question is removed from S1 and placed at S2,
distance moved by the interference pattern
(A) 240 m (B) 24 m
(C) 120 m (D) 12 m

Paragraph for Question Nos. 13 to 15

y
Figure shows a Young’s double slit experiment set-up. The S1
P
S
source S of wavelength 4000 Ao oscillates along y-axis (0, 0)
0.5 mm
x

according to the equation y = sin t, where y is in millimeters S2

and t is in seconds. The distance between two slits S1 and S2 is 1m 4m

0.5 mm.
13. The instant at which maximum intensity occurs at P for first time
1 1  59  1 1  27 
(A) sin   (B) sin  
  160    80 
1 1  59  1 1  27 
(C) sin   (D) sin  
  80    160 

14. The instant at which minimum intensity occurs at P for this first time
1 1  59  1 1  27 
(A) sin   (B) sin  
  160    80 
1 1  59  1 1  27 
(C) sin   (D) sin  
  80    160 
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

15. The position of the central maxima as a function of time is

(A) 4 sin t (B) 4 sin t
(C) 2 sin t (D) 2 sin t

Paragraph for Question Nos. 16 to 18

Image formation from a thin prism: For a thin prism, at near normal incidence, the A

angle of deviation does not vary considerably with angle of incidence and
consequently we may write angle of deviation as  = ( 1)A, where A is the angle of S B C

the prism and is the refractive index of the material of the prism. Consider a thin A
S
prism ABC and a source of light S. Suppose we want to trace the image of source S,

for sake of simplicity we draw a simple ray diagram as shown in the figure.
A 
B
Suppose we take S as the origin, S as the image of S and the horizontal a
and vertical lines passing through S as x and y-axis, and the distance SB as
a (SB is horizontal). Now using geometry and using the fact that angle CAB
is small, we can find the co-ordinates of S. Now answer the following
questions.

16. The x-coordinator of S will be

(A) Zero (B) a/2
(C) 2a (D) a

17. The y-coordinator of S will be

(A) ( 1) Aa (B) 1 (  1) Aa
2
3
(C) 2 ( 1) Aa (D) (  1) Aa
2

18. If an identical prism is joined at the base of the first prism as shown in figure and a S
new image S is formed due to it. Then the separation between s and S will be S
(A) ( 1) Aa (B) 2(1) Aa
S
(  1)Aa 3(  1)Aa
(C) (D)
4 4
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

y
Paragraph for Question Nos. 19 to 21
1 = 4/3 P
A Young’s double slits experiment is conducted by using light of S
1
wavelength 3300nm as shown in the figure. Separation between slits
and screen is 2m and separation between the slits is 0.50 mm. The O
y
slits are covered by transparent sheets each of thickness 10 m and
having refractive index (4/3) and (3/2) respectively. Find S2
2 = 3/2
19. Position of central maximum on the y-axis is
(A) 5.67 mm (B) 6.67 mm
(C) 7.67 mm (D) 8.67 mm

20. Intensity at point O, If I0 is intensity at slits.

(A) minimum (B) maximum
(C) remain constant (D) first increase then decrease

21. Minimum possible thickness (t) of the sheets such that point O becomes dark.
(A) 5.9 m (B) 7.9 m
(C) 9.9 m (D) 10.9 m

Paragraph for Question Nos. 22 to 24

Figure shows a Young’s double slit experiment set-up. The y

source S of wavelength 4000 A0 oscillates along y-axis
according to the equation y = sin t, where y is in S S1
P
millimeters and t is in seconds. The distance between two (0, 0) 0.5mm x
slits S1 and S2 is 0.5 mm. S2

1m 4m

22. The position of the central maxima as a function of time is

(A) 4 sin t (B) 4 sint
(C) 2 sin t (D) 2 sint

23. The instant at which maximum intensity occurs at P for first time
1 1  59  1  27 
(A) sin   (B) sin1  
  160    80 
1  59  1  27 
(C) sin1   (D) sin1  
  80    160 

24. The instant at which minimum intensity occurs at P for this first time
1 1  59  1  27 
(A) sin   (B) sin1  
  160    80 
1  59  1  27 
(C) sin1   (D) sin1  
  80    160 
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

Paragraph for Question Nos. 25 to 27

A point light source is situated at a distance of 5 mm away from

plane mirror and at a distance 1 m from the screen as shown in
S P
the figure. If the wavelength of the source is  = 5000 A, then 5 mm 1m

find the answer of following questions

1 cm

25. Find the number of bright fringes formed on the screen

(approximately).
(A) 5  105 (B) 4  104
(C) 9  104
(D) 9  105

26. If intensity of the source is I0 at a distance of ½ m from the source, then the intensity of
fringe formed at point P is (approximately)
(A) 4I0 (B) 2I0
(C) I0 (D) zero

27. Find the fringe width (approximately).

(A) 5  105 m (B) 5  104 m
(C) 9  104 m (D) 9  105 m
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

PART – B

Integer Based Question

This section contains Integer based questions. Answer has to be expressed in five figures
(including decimal)
1. The outer surface of a transparent glass slab of refractive index S = 1.5 is coated by a thin
layer of transparent medium of refractive index C = 1.6. Orange light of wave length 6400 Å
fall normally on the coat. The reflected light at the upper surface and at the lower surface of
the coat interfere destructively. If thickness of the coat is 5K × 108 m, calculate the minimum
value of K.

2. In a young’s double slit experiment slits are separated by a distance d and screen is at
distance D, (D >> d) from slit plane. If light source of wavelength  ( << d) is used, the
minimum distance from central point on the screen where intensity is one fourth of the
maximum is D . Find the value of n.
nd

3. In Young’s double slit experiment, the slits are 0.5 mm apart and interference is observed on
a screen placed at a distance of 100 cm from the slits. It is found that the 9 th bright fringe is at
a distance of 8.835 mm from the 2nd dark fringe from the centre of fringe pattern. If the
wavelength of light used is 2.945n × 107 m, then n =

4. Four identical coherent sound sources S1, S2, S3 & S4 are

placed collinearly at a separation d from each other as
shown in the figure. Each one can produce sound of
intensity I and wavelength . When the separation d is d d d
equal to minimum possible value d1, no sound was S1 S2 S3 S4 P
detected at a point P on the line joining the sources. But
when the separation d is equal to minimum possible value
d2, the intensity of sound at P is 3I. Find the value of (4d1 –
6d2)

5. In Young’s double slit experiment, a parallel stream of electrons accelerated by a potential

difference V = 45.5 Volts is used to obtain interference pattern. If slits are separated by a
distance d = 66.3 m and distance of screen is D = 109.2 cm from the plane of slits, find the
distance (in m) between two consecutive maxima on the screen. Given, mass of electron,
m = 9.1 × 1031 kg, planck’s constant, h = 6.63 × 1034 J-sec.

6. In a young’s double slit experiment one of the slits is covered by a

thin film of thickness t = 0.04 mm, and refractive index  = 1.2 + S1

9  1014 m2
, where,  is the wave length in meter. A beam of light
2 S2 P
consisting two wavelengths 1 = 400 nm and 2 = 600 nm falls
normally on the plane of the slits. Find the distance between two
central maxima in milimeter. Distance of screen from slits is 400
times the separation between the slits.
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

7. A parallel beam of light ( = 5000 Å) is incident at an

angle
 = 30 to the slits plane as shown in YDSE S1
experiment Intensity due to each slit at any point on 
O
screen is I0. The distance between slits is 1 mm. The d

intensity at point O on the screen is KI0. The value of K S2 screen

3 m
is

B
8. Some plane wavefronts are shown in
figure. The value of refractive index of B
medium is 2K . The value of K is B
2m

vacuum
A medium
1m
A

A

9. There are two transparent media (1) and (2) with

refractive indices 1 and 2 .  1 2  A light ray is (A)
(B)
entering from medium (1) to medium (2) at angle of
incidence i. Thickness of medium (2) is t. Two light i
(1) 1
rays A and B are forming interference pattern as
shown in figure. Then minimum thickness of 2 (2)
medium (2) so that rays A and B are interfering fully t r
 1
constructive, is of the form . Find the
Bo 2 cos r
value of B0 . where r is angle of refraction for ray

entering medium (2) from medium (1) and  is

wavelength of light in air.
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

PART – C

Matrix-Match Type

1. Column–I shows arrangements to observe Interference Phenomenon in different situations.

Column– II gives observed Interference Pattern/ Maxima Minima Curves. Match the
appropriate curves with the appropriate situation.
Column – I Column – II
(A) z (p) z

Screen Concentric
circle
x
S1 S2 y
Coherent point Light
y
sources S1 & S2

(B) y (q) z
y
Screen
S1 Straight
lines

x
y

S2 Coherent point Light z

sources S1 & S2

(C) y (r) z

Screen
Hyperbolic
curves
S1
x
S2 y

z
z
Coherent parallel line
sources of light S1 & S2

(D) y (s) z
y
Screen
S1
Parabolic
curves
x
y

S2 Incoherent point Light z

sources S1 & S2

(t) No interference pattern is

observed
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

2. The figure shows a schematic diagram of screen

young’s double slit experiment. Some
changes are listed in column–I and its
S1
consequences in column II. Match the
d
following. source O
slit(S)
S2

D


Column-I Column-II
(A) Increase in wavelength of light used. (p) Position of all but central maxima
change.
(B) Increase in separation of slits from (q) Position of all minima change.
screen.
(C) Increase in ‘d’ the separation (r) Fringe width remains unchanged.
between slits.
(D) Source slit(S) is moved closer to (s) Angular fringe width does not change.
plane of slits.
(t) Angular fringe width changed.

 = 20 – 4t
3. A parallel beam of monochromatic
light of wavelength  = 100(Å) is
incident on the slits separated by y
S1 
distance d = 2mm. There is a
screen at a distance D = 1m from
slit. If R.I. of the medium between d
slits and screen is varying with
time as  = 20 – 4t until it becomes
1. A glass slab of R.I.  = 5 and S2
thickness 0.2 mm is placed infront
of one of the slit S1 as shown in
figure. In figure y represent D
position of central maxima on the
screen from its geometrical centre.
Then match the column I with
column-II with suitable option(s)
Column – I Column – II
(A) At t = 0, value of |y| in (cm) (p) 40
(B) At t = 5s value of |y| (in cm) (q) 7.5
(C) Speed of central maxima when it is at (r) 1
geometrical centre of screen (in cm/s)
(D) Fringe width at time t = 3.75 sec (m) (s) 8
(t) 12
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

4. Column I shows situations of young’s double slit

experiment with the screen placed for away (D) from
slits S1, S2 and S3 at separation d with each other as
shown in figure (D >> d). There are two points
considered on screen P0 and P. P0 is just infront of S2
and P is just infront of S1. I0 is intentsity at P0, IP is
intentsity at P, I is intensity at each slit then match
each statement of column I with statements of
column II valid for that statement.

Column–I Column–II
Phase difference at P between waves from S1 and
(A) S2 is 1 and from S1 and S3 is 2 then 1/2 (p) 9
IP d2
if 
(B) I 2D (q) 4
IP d2
(C) if  3 (r) 1
I D
IP d2 1
if 
(D) I0 2D (s) 4
(t) 1
9

5. In the YDSE apparatus shown in figure x is the path P

difference between S2P and S1P. Now a glass slab is S1

introduced in front of S2, then match the following: S2

O

Column – I Column – II
(A)  x at P will (p) increase
(B) Fringe width will (q) decrease
(C) Fringe pattern will (r) remain same
(D) Number of fringes between O and P will (s) shift downward
(t) shift upward
6. Match the following
Column A Column B
amplitude of waves from the two
(A) For a sustained interference pattern of light. (p)
sources must be same.
could not explain the phenomenon
(B) Newton’s corpuscular theory (q)
of interference of light.
(C) Huygens wave theory (r) coherent source is required.
(D) For maximum contrast in the sustained could not explain photoelectric
(s)
interference pattern due to a YDSE. effect.
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance

Answers
Single Correct Type

1. A 2. B 3. D 4. B 5. A 6. B
7. C 8. A 9. A 10. A 11. A
Multi - Correct Type
1. A, C 2. A, C, D 3. A, B, C 4. A, C 5. A, D
6. A, B, D 7. A, C

Linked Comprehension Type

1. A 2. B 3. D 4. B 5. B 6. C 7. D
8. A 9. B 10. D 11. A 12. A 13. C 14. B
15. B 16. A 17. A 18. B 19. B 20. A 21. C
22. B 23. C 24. B 25. B 26. D 27. A

Integer Based Question

1. 4 2. 3 3. 2 4. 0 5. 3 6. 5 7. 4
8. 2 9. 4
Matrix-Match Type
1. (A)  (p), (B)  (r), (C)  (q), (D)  (t)
2. (A) (p, q, t) (B) (p, q, s) (C) (p, q, t) (D)  (r, s)
3. (A) (q) (B)  (p) (C) (s) (D)  (r)
4. (A)  (s), (B)  (p), (C)  (r), (D)  (r)
5. A  (p), B  (r), C  (s), D  (r)
6. (A)  (r), (B)  (q), (C)  (s) (D)  (p).
RANK ENHANCEMENT SHEET WAVE OPTICS JEE Advance