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JEE Advanced Test- 10 - JEE MCQ


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30 Questions MCQ Test Mock Tests for JEE Main and Advanced 2025 - JEE Advanced Test- 10

JEE Advanced Test- 10 for JEE 2024 is part of Mock Tests for JEE Main and Advanced 2025 preparation. The JEE Advanced Test- 10 questions and answers have been prepared according to the JEE exam syllabus.The JEE Advanced Test- 10 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Advanced Test- 10 below.
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JEE Advanced Test- 10 - Question 1

An interference is observed due to two coherent sources 'A' & 'B' having phase constant zero, separated by a distance 4 l along the y - axis where l is the wavelength of the sources. A detector D is moved on the positive x - axis. The number of points on the x - axis excluding the 
points, x = 0 & x = ¥ at which maximum will be observed are

Detailed Solution for JEE Advanced Test- 10 - Question 1

JEE Advanced Test- 10 - Question 2

The observer 'O' sees the distance AB as infinitely large. If refractive index of liquid is m1 and that of glass is m2, then   is :

Detailed Solution for JEE Advanced Test- 10 - Question 2

Using formula of spherical surface taking 'B' as object 

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JEE Advanced Test- 10 - Question 3

An object of height 1 cm is kept perpendicular to the principal axis of a convex mirror of radius of curvature 20 cm. If the distance of the object from the mirror is 20 cm then the distance between heads  of the image and the object will be:

Detailed Solution for JEE Advanced Test- 10 - Question 3

JEE Advanced Test- 10 - Question 4

A thin linear object of size 1 mm is kept along the principal axis of a convex lens of focal length 10 cm. The object is at 15 cm from the lens. The length of the image is:

Detailed Solution for JEE Advanced Test- 10 - Question 4

JEE Advanced Test- 10 - Question 5

An object approaches a fixed diverging lens with a constant velocity from infinity along the principal axis. The relative velocity between object and its image will be :

Detailed Solution for JEE Advanced Test- 10 - Question 5

JEE Advanced Test- 10 - Question 6

A ray of light falls on a plane mirror. When the mirror is turned, about an axis which is at right angle to the plane of the mirror through 20º the angle between the incident ray and new reflected ray is 45º. The angle between the incident ray and original reflected ray was therefore : 

Detailed Solution for JEE Advanced Test- 10 - Question 6

If mirror is turned, about an axis perpendicular to plane of mirror, then there will be no change in incident angle and reflected angle so angle between incident & reflected rays after rotation will be same as before

JEE Advanced Test- 10 - Question 7

The focal length of a lens of refractive index 3/2 is 10 cm in air. The focal length of that lens in a medium of refractive index 7/5 is:

Detailed Solution for JEE Advanced Test- 10 - Question 7

JEE Advanced Test- 10 - Question 8

A converging lens of focal length f is placed just above a water surface parallel to the surface without touching it. A point source of light S is placed inside the water vertically before the lens at a depth f from it. This arrangement will produce:

Detailed Solution for JEE Advanced Test- 10 - Question 8

Due to refraction at water-air interface, the object is at a distance less than the focal length of the lense, thus, a virtual image is created inside water

*Multiple options can be correct
JEE Advanced Test- 10 - Question 9

A small air bubble is trapped inside a transparent cube of size 12 cm. When viewed from one of the vertical faces, the bubble appears to be at 5 cm from it. When viewed from opposite face, it appears at 3 cm from it.

Detailed Solution for JEE Advanced Test- 10 - Question 9

*Multiple options can be correct
JEE Advanced Test- 10 - Question 10

A parallel beam of light (l =5000 Å) is incident at an angle a = 30° with the normal to the slit plane in a young’s double slit experiment. Assume that the intensity due to each slit at any point on the screen is I0. Point O is equidistant from S1 & S2.The distance between slits is 1mm.    

Detailed Solution for JEE Advanced Test- 10 - Question 10

*Multiple options can be correct
JEE Advanced Test- 10 - Question 11

Figure shows two thin slabs of glass, one is rectangular and the other is triangular wedge shaped. A monochromatic light incident nearly normally on the slabs as shown in figure.

Detailed Solution for JEE Advanced Test- 10 - Question 11

In case x no fringes are formed because light passes the slab normaly & in case y fringes are obtained.

Suppose for point A ‘t’ is such that it satisfies the condition for bright interference. The same ‘t’ will be
present throughout the line A A’ & therefore the line AA’ will be bright & a bright line will be seen. The same
applies for dark lines.Hence fringes are straight line

*Multiple options can be correct
JEE Advanced Test- 10 - Question 12

A Young’s double slit experiment is conducted in water (m1) as shown in the figure and a glass plate of thickness t and refractive index m2 is placed in the path of S2. The magnitude of the phase difference at O is (Assume that ‘l’ is the wavelength of light in air). O is symmetrical with respect to S1 and S2 .

Detailed Solution for JEE Advanced Test- 10 - Question 12

JEE Advanced Test- 10 - Question 13

Statement-1 : Two coherent point sources of light having nonzero phase difference are separated by small distance. Then on the perpendicular bisector of line segment joining both the point sources,  constructive interference cannot be obtained.

Statement-2 : For two waves from coherent point sources to interfere constructively at a point, the magnitude of their phase difference at that point must be 2mp ( where m is a nonnegative integer) .

Detailed Solution for JEE Advanced Test- 10 - Question 13

Statement 1 is false because constructive interference can be obtained if phase difference between cohrent
sources is 2π, 4π , 6π, etc.

JEE Advanced Test- 10 - Question 14

Statement-1 : A spherical surface of radius of curvature R separates two media of refractive index n1 and n2 as shown. If an object O (a thin small rod) is placed upright on principal axis at a distance R from pole (i.e, placed at centre of curvature), then the size of image is same as size of object.

Statement-2 : If a point object is placed at centre of curvature of spherical surface separating two media of different refractive index, then the image is also formed at centre of curvature, i.e., image distance is equal to object distance.

Detailed Solution for JEE Advanced Test- 10 - Question 14

In the situation of statement-1, the magnitude of image (v) and object (u) distance is same.

Hence statement-1 is false and statement-2 is true.

JEE Advanced Test- 10 - Question 15

Statement-1 : A parallel beam of light is incident on a thin convex lens and is also parallel to the principal axis of convex lens as shown. The magnitude of deviation of each ray of this beam produced by given convex lens is different.

Statement-2 : A thin convex lens can be assumed to be made of prisms of small angles. The magnitude of deviation produced by prism of small angle for small angles of incidence depends on angle of prism. Each ray of the beam in situation of statement-1 is incident on a prism of different angles, hence the magnitude of deviation for each ray is different.

Detailed Solution for JEE Advanced Test- 10 - Question 15

The lens can be assumed to be made of prisms of small but different angles. The lowest ray of beam is incident on
prism of smaller angle while the topmost ray of beam is incident on prism of larger angle. Hence all rays of beam
suffer different deviations. Therefore both statements are correct and statement-2 is the correct explanation.

JEE Advanced Test- 10 - Question 16

Statement-1 : A ray is incident from outside on a glass sphere surrounded by air as shown. This ray may suffer total internal reflection at second interface.

Statement 2 : For a ray going from denser to rarer medium, the ray may suffer total internal reflection.

Detailed Solution for JEE Advanced Test- 10 - Question 16

From symmetry the ray shall not suffer TIR at second interface, because the angle of incidence at first interface equals to angle of emergence at second interface. Hence statement 1 is false

JEE Advanced Test- 10 - Question 17

In the figure an arrangement of young's double slit experiment is shown. A parallel beam of light of wavelength 'l' (in medium n1) is incident at an angle 'q' as shown. Distance S1O = S2O. Point 'O' is the origin of the coordinate system. The medium on the left and right side of the plane of slits has refractive index n1 and n2 respectively. Distance between the slits is d. The distance between the screen and the plane of slits is

D. Using D = 1m, d = 1mm, q = 30°, l = 0.3mm, n1 = 4/3, n2 = ,   10/9

answer the following :

Q. The y-coordinate of the point where the total phase difference between the interefering waves is zero, is 

Detailed Solution for JEE Advanced Test- 10 - Question 17

It is negative because upper path in medium n2 is longer than lower path in the same medium.

JEE Advanced Test- 10 - Question 18

In the figure an arrangement of young's double slit experiment is shown. A parallel beam of light of wavelength 'l' (in medium n1) is incident at an angle 'q' as shown. Distance S1O = S2O. Point 'O' is the origin of the coordinate system. The medium on the left and right side of the plane of slits has refractive index n1 and n2 respectively. Distance between the slits is d. The distance between the screen and the plane of slits is

D. Using D = 1m, d = 1mm, q = 30°, l = 0.3mm, n1 = 4/3, n2 = 10/9,     
answer the following :

Q. If the intensity due to each light wave at point 'O' is I0 then the resultant intensity at point 'O' will be - 

Detailed Solution for JEE Advanced Test- 10 - Question 18

Path lengths in medium 2 are equal for point O. Therefore path difference = d sinθ

JEE Advanced Test- 10 - Question 19

In the figure an arrangement of young's double slit experiment is shown. A parallel beam of light of wavelength 'l' (in medium n1) is incident at an angle 'q' as shown. Distance S1O = S2O. Point 'O' is the origin of the coordinate system. The medium on the left and right side of the plane of slits has refractive index n1 and n2 respectively. Distance between the slits is d. The distance between the screen and the plane of slits is

D. Using D = 1m, d = 1mm, q = 30°, l = 0.3mm, n1 = 4/3, n2 = 10/9,     
answer the following :

Q. y-coordinate of the nearest maxima above 'O' will be - 

Detailed Solution for JEE Advanced Test- 10 - Question 19

As we go up from point O, path difference will increase. At O, phase difference is 3π + π/3
and when it becomes 4π, there will be maximum. Extra path difference created in medium 2 must lead to 2π/3
phase difference.

JEE Advanced Test- 10 - Question 20

The ciliary muscles of eye control the curvature of the lens in the eye and hence can alter the effective focal length of the system. When the muscles are fully relaxed, the focal length is maximum. When the muscles are strained the curvature of lens increases (that means radius of curvature decreases) and focal length decreases. For a clear vision the image must be on retina. The image distance is therefore fixed for clear vision and it equals the distance of retina from eye-lens. It is about 2.5 cm for a grown-up person.

A person can theoretically have clear vision of objects situated at any large distance from the eye. The smallest distance at which a person can clearly see is related to minimum possible focal length. The ciliary muscles are most strained in this position. For an average grown-up person minimum distance of object should be around 25 cm.

A person suffering from eye defects uses spectacles (Eye glass). The function of the lens of spectacles is to form the image of the objects within the range in which person can see clearly. The image of the spectacle-lens becomes object for eye-lens and whose image is formed on retina.

The number of spectacle-lens used for the remedy of eye defect is decided by the power of the lens required and the number of spectacle-lens is equal to the numerical value of the power of lens with sign. For example power of lens required is +3D (converging lens of focal length 100/3 cm) then number of lens will be +3.

For all the calculations required you can use the lens formula and lens maker's formula. Assume that the eye lens is equiconvex lens. Neglect the distance between eye lens and the spectacle lens. 

Q. Minimum focal length of eye lens of a normal person is

Detailed Solution for JEE Advanced Test- 10 - Question 20

JEE Advanced Test- 10 - Question 21

The ciliary muscles of eye control the curvature of the lens in the eye and hence can alter the effective focal length of the system. When the muscles are fully relaxed, the focal length is maximum. When the muscles are strained the curvature of lens increases (that means radius of curvature decreases) and focal length decreases. For a clear vision the image must be on retina. The image distance is therefore fixed for clear vision and it equals the distance of retina from eye-lens. It is about 2.5 cm for a grown-up person.

A person can theoretically have clear vision of objects situated at any large distance from the eye. The smallest distance at which a person can clearly see is related to minimum possible focal length. The ciliary muscles are most strained in this position. For an average grown-up person minimum distance of object should be around 25 cm.

A person suffering from eye defects uses spectacles (Eye glass). The function of the lens of spectacles is to form the image of the objects within the range in which person can see clearly. The image of the spectacle-lens becomes object for eye-lens and whose image is formed on retina.

The number of spectacle-lens used for the remedy of eye defect is decided by the power of the lens required and the number of spectacle-lens is equal to the numerical value of the power of lens with sign. For example power of lens required is +3D (converging lens of focal length 100/3 cm) then number of lens will be +3.

For all the calculations required you can use the lens formula and lens maker's formula. Assume that the eye lens is equiconvex lens. Neglect the distance between eye lens and the spectacle lens. 

Q. Maximum focal length of eye lens of normal person is

Detailed Solution for JEE Advanced Test- 10 - Question 21

JEE Advanced Test- 10 - Question 22

The ciliary muscles of eye control the curvature of the lens in the eye and hence can alter the effective focal length of the system. When the muscles are fully relaxed, the focal length is maximum. When the muscles are strained the curvature of lens increases (that means radius of curvature decreases) and focal length decreases. For a clear vision the image must be on retina. The image distance is therefore fixed for clear vision and it equals the distance of retina from eye-lens. It is about 2.5 cm for a grown-up person.

A person can theoretically have clear vision of objects situated at any large distance from the eye. The smallest distance at which a person can clearly see is related to minimum possible focal length. The ciliary muscles are most strained in this position. For an average grown-up person minimum distance of object should be around 25 cm.

A person suffering from eye defects uses spectacles (Eye glass). The function of the lens of spectacles is to form the image of the objects within the range in which person can see clearly. The image of the spectacle-lens becomes object for eye-lens and whose image is formed on retina.

The number of spectacle-lens used for the remedy of eye defect is decided by the power of the lens required and the number of spectacle-lens is equal to the numerical value of the power of lens with sign. For example power of lens required is +3D (converging lens of focal length 100/3 cm) then number of lens will be +3.

For all the calculations required you can use the lens formula and lens maker's formula. Assume that the eye lens is equiconvex lens. Neglect the distance between eye lens and the spectacle lens. 

Q. A nearsighted man can clearly see object only upto a distance of 100 cm and not beyond this. The number of the spectacles lens necessary for the remedy of this defect will be.

Detailed Solution for JEE Advanced Test- 10 - Question 22

JEE Advanced Test- 10 - Question 23

Match the following :         
             Column-I                                                    Column-II
    (A)     Object is between optic center and 1st        (p) Image is inverted
             principle focus in a diverging lens
    (B)    Object is between optic center and 1st         (q) Image is Erect
             principle focus of a converging lens
    (C)    Object is between optic center and 2nd         (r) Image is of greater size
             principle focus of a diverging lens                    than the object
    (D)     Object is between optic center and 2nd        (s) Image is of smaller size 
             principle focus of a converging lens                  than the object
                                                                              (t) Image distance is more than |f|

Detailed Solution for JEE Advanced Test- 10 - Question 23

JEE Advanced Test- 10 - Question 24

A double slit interference pattern is produced on a screen, as shown in the figure, using monochromatic light of wavelength 500 nm. Point P is the location of the central bright fringe, that is produced when light waves arrive in phase without any path difference. A choice of three strips A, B and C of transparent materials with different thicknesses and refractive indices is available, as shown in the table. These are placed over one or both of the slits, singularly or in conjunction, causing the interference pattern to be shifted across the screen from the original pattern. In the column-I, how the strips have been placed, is mentioned whereas in the column-II, order of the fringe at point P on the screen that will be produced due to the placement of the strip(s), is shown. Correctly match both the columns.

Detailed Solution for JEE Advanced Test- 10 - Question 24

By using (μ – 1)t = nλ , we can find value of n, that is order of the fringe produced at P, if that particular strip has been placed over any of the slit. If two strips are used in conjuction (over each other), path
difference due to each is added to get net path difference created. If two strips are used over different slits, their path differences are subtracted to get net path difference.

JEE Advanced Test- 10 - Question 25

The compound 'X' is :

Detailed Solution for JEE Advanced Test- 10 - Question 25

JEE Advanced Test- 10 - Question 26

Observe the following reaction and identify the end product.

Detailed Solution for JEE Advanced Test- 10 - Question 26

JEE Advanced Test- 10 - Question 27

Detailed Solution for JEE Advanced Test- 10 - Question 27

JEE Advanced Test- 10 - Question 28

The major product of following sequence of reactions is

Detailed Solution for JEE Advanced Test- 10 - Question 28

In hofmann elimination the more acidic β-hydrogen is removed.

JEE Advanced Test- 10 - Question 29

Detailed Solution for JEE Advanced Test- 10 - Question 29

JEE Advanced Test- 10 - Question 30

The final product of the following reaction is 

Detailed Solution for JEE Advanced Test- 10 - Question 30

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