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All questions of Ray Optics and Optical Instruments for JEE Exam

When light undergoes refraction, its frequency
  • a)
    Increases
  • b)
    Remains same
  • c)
    Decreases
  • d)
    Increases exponentially
Correct answer is option 'B'. Can you explain this answer?

Geetika Shah answered
Light refracts as it passes through a material. It's direction changes, but it still passes through. Light travels at a maximum speed -- the speed of light in a vacuum, but when traveling in anything else it slows down. Different materials slow the speed of passing light at different rates. This property of matter is called the refractive index. When refracting, light doesn't change it's frequency, but since it changes it's speed, it must also change it's wavelength (it gets squished or elongated). Frequency, wavelength, and speed are all related, so if one property changes, another must as well.

When light undergoes refraction, the wavelength
  • a)
    Increases in rarer medium
  • b)
    Decreases in rarer medium
  • c)
    Increases in denser medium
  • d)
    Decreases in denser medium
Correct answer is option 'D'. Can you explain this answer?

Rahul Bansal answered
When light undergoes refraction at the surface of separation of two media, wavelength decreases on entering a denser medium and wavelength increases on entering a rarer medium.

Two plane mirrors of length L are separated by distance L and a man M2 is standing at distance L from the connecting line of mirrors as shown in figure. A man M1 is walking in a straight line at distance 2L parallel to mirrors at speed u, then man M2 at O will be able to see image of M1 for total time :
                                         
  • a)
  • b)
     
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Praveen Kumar answered

The light from man M1​ hits the mirror and then reaches the man M2​. The positions of the moving man need to be found when the light from him hits the corners of the mirror to reach the standing man.
From geometry,
AO′=L/2​+2(L/2​)
=3L/2
​Similarly, BO′=(3L/2​)+2(3L/2​)
=9L/2
Hence AB=(9L/2)-(3L/2)=3/2
Time taken to cover this distance=3L/u​
Similarly time taken to cover CD=3L/u​
Thus total time he is visible is 6L/u​
 

Just before setting, the sun may appear to be elliptical. This happens due to:
  • a)
    Refraction
  • b)
    Dispersion
  • c)
    Reflection
  • d)
    Diffraction
Correct answer is option 'A'. Can you explain this answer?

Om Desai answered
Refraction of light ray through the atmosphere may cause different magnification in mutually perpendicular directions.

Sunlight enters the Earth's atmosphere from the vacuum of space. The refractive index of air with respect to vacuum is 1.0029. This means that the speed of light in air is 1.0029 times slower than the speed of light in vacuum. This causes the light rays to bend towards the normal (refraction). 

The focal length of a convex lens (refractive index = 1.5) in air is 20 cm. When immersed in water (refractive index = 1.33), its focal length will be​
  • a)
    20.2cm
  • b)
    78.23 cm
  • c)
    7.23 cm
  • d)
    2.02 cm
Correct answer is option 'B'. Can you explain this answer?

Nikita Singh answered
Focal length in air = 20 cm
Refractive index of air-water n₁= 1.33
Refractive index of air - glass n₂= 1.5
For focal length in air,
Using formula of lens
1/fair={(n2/n1)-1}(1/R1)-(1/R2)
Put the value into the formula
1/20={(1.5/1)-1}{(1/R1)-(1/R2)}
1/20=0.5{(1/R1)-(1/R2)}…1
We need to calculate the focal length in water
Using formula of lens
1/fwater={(1.5/1.33)-1}{(1/R1)-(1/R2)}
1/fwater=0.128{(1/R1)-(1/R2)}….2
fwater/20=0.5/0.128
fwater=78.125cm

Due to _______ the depth of an optically denser medium appears to be _______ than its real depth.
  • a)
    Refraction , more
  • b)
    Reflection , less
  • c)
    Reflection , more
  • d)
    Refraction , less
Correct answer is option 'D'. Can you explain this answer?

Neha Sharma answered
When light moves from 1 medium to another, refraction takes place. And when light enters a denser medium, the ray bends away from normal and meets at a point above the actual point where they would have met, if the medium was absent. So, apparent depth decreases.

Power of the lens is -40, its focal length is         
  • a)
    4m         
  • b)
    -40m         
  • c)
    -0.25m         
  • d)
    -25m
Correct answer is option 'C'. Can you explain this answer?

Jyoti Sengupta answered
The power of a lens is the reciprocal of the focal length with measurement in metres. The unit is diopter.
It is given that the focal length of a convex lens is 10 cm = 0.1 m.
⇒ The power of the lens is 1/0.1= 10 diopter.

A convex and a concave mirror of radii 10 cm each are facing each other and 15 cm apart. A point object is placed midway between them. Then position of the final image if the reflection first takes place at the concave mirror and then in the convex mirror is
  • a)
    at the pole of the concave mirror
  • b)
    at the pole of the convex mirror
  • c)
    5 cm behind the convex mirror
  • d)
    coincident with the object itself
Correct answer is option 'B'. Can you explain this answer?

Aayush Agarwal answered
It will be best understood if you make a scale diagram. I will advice you do so and simultaneously read the answer. at first the reflection takes place at concave mirror. the objeCt is at a distance of 7.5cm from it. and 2.5cm from its focus. thereby the image shall be made in front of the mirror. next the image made will act as an object for the convex Mirror. and then it will make the image at its pole. if you arent still able to understand, do let me know

A thick plano convex lens made of crown glass (refractive index 1.5) has a thickness of 3cm at its centre. The radius of curvature of its curved face is 5cm. An ink mark made at the centre of its plane face, when viewed normally through the curved face, appears to be at a distance ‘x’ from the curved face. Then, x is equal to:
  • a)
    2.5cm
  • b)
    2.3cm
  • c)
    2cm
  • d)
    2.1cm
Correct answer is option 'A'. Can you explain this answer?

A thick Plano convex lens made of crown glass (refractive index 1.5) has a thickness of 3cm at its centre. The radius of curvature of its curved face is 5cm. An ink mark made at the centre of its plane face, when viewed normally through the curved face, appears to be at a distance ‘x’ from the curved face, and we have to determine the value of ' x'
According to the picture, the ray of light gets refracted at the interface between the air and the lens from the object 'p' and 'I' is the refracted image of 'p'
object distance 'u'= BO
Image distance 'v'/'x' = BI
we know
n2/v - n1/u = (n2- n1) / R
or 1/v - 1.5/(-3 )= (1-1.5)/ (-5) [where n2= 1, n1= 1.5 ,u= -3 ,R= -5]
so, 1/v = -6/15
or, v = -2.5
so, x is equal to 2.5 cm

An air bubble inside a glass slab (μ = 1.5) appears at 6 cm when viewed from the opposite side. The thickness of the slab is:​
  • a)
    10 cm
  • b)
    6.67 cm
  • c)
    15 cm
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?

Krishna Iyer answered
We know that μ=(apparent depth/real depth​)
Let the thickness of the slab be t and real depth of the bubble from one side be x. Then
μ=(x/6)​=(t−x)/4​ or 1.5=x/6​ = (t−x​)/4
This gives x=9 and 1.5=(t−9)/4​ or t=15cm

What happens to the magnifying power of microscope, when its length increases?​
  • a)
    May increase or decrease depending on the relative focal lengths of objective and eye piece.
  • b)
    decreases
  • c)
    Unchanged
  • d)
    Increases
Correct answer is option 'D'. Can you explain this answer?

Hansa Sharma answered
Magnification in microscope is  m=− lD/f0​​fe
where, l is length of tube and D is least distance for clear vision
f0​ is focal length of objective
fe​ is the focal length of the eyepiece.
So, as l increases m increases.
Hence, the magnifying power of a microscope increases with increase in tube length.
 

______ mirror is called as diverging mirror
  • a)
    Concave
  • b)
    Plane
  • c)
    Convex
  • d)
    Both b and c
Correct answer is option 'C'. Can you explain this answer?

Preeti Iyer answered
Concave mirror is called a converging mirror because parallel rays of light fall on the mirror they converge at a point called focus. Convex mirror is called a diverging mirror because parallel rays of light fall on it they diverge after reflection.

A prism of refractive index √2 and refractive angle A produces minimum deviation δm of a ray on one face at an angle of incidence 45°. The values of A and δm are respectively​
  • a)
    45°, 45°
  • b)
    60°, 30°
  • c)
    60°, 45°
  • d)
    45°, 60°
Correct answer is option 'B'. Can you explain this answer?

Bs Academy answered
μ=sinisinr
 
Again for minimum deviation
 
μ=sin(A+δmin2)sinA2
 
∴μ=sinisinA2
 
⇒sinA2=siniμ
 
⇒sinA2=sin45∘√2=12
 
⇒A2=30∘
 
⇒A=60∘
 
Again i+e=A+δmin
 
For minimum deviation i=e
 
∴2i=A+δmin
 
⇒δmin=2i−A
 
⇒δmin=2×45∘−60∘=30∘

A ray of light going from denser to rarer medium suffers refraction at a concave surface. Which of the following relations is correct?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

EduRev JEE answered
Solution : 
The correct option is Option A.
Laws of refraction;-
The incident ray,the refracted ray and the normal to the refracting surface at the point of incidence lie in the same plane.
For a given pair of media and for a given colour of light the ration between the sine of angle of incidence to the sine of refraction is a constant.This constant is known as refractive index of the second medium with respect to the first medium.
When a ray of light passes through a glass slab, ∠i,∠r and the normal all lie in the same plane.
When a ray of light passes from one medium to another, here from air to glass or glass to air, the ratio sini / sinr = constant.

Can absolute value of refractive index be less than unity?
  • a)
    No
  • b)
    Refractive index is always unity
  • c)
    Depends on situation
  • d)
    Yes
Correct answer is option 'A'. Can you explain this answer?

Vijay Bansal answered
Absolute refractive index of a medium = speed of light in vacuum / speed of light in in that medium.

Since the speed of light is maximum in vacuum, the refractive index cannot be less than unity.

A virtual image, larger than the object can be produced by
  • a)
    Convex mirror
  • b)
    Concave mirror
  • c)
    Plane mirror
  • d)
    Concave lens
Correct answer is option 'B'. Can you explain this answer?

Ayaan Madhukar answered
CONCAVE MIRROR...

Concave mirrors produce real and virtual, erect and inverted, diminished same size and magnified image depending upon the position of the object on the principal axis.
But the concave mirror forms a virtual and enlarged image when the object is placed between the focus and the pole of the mirror...

$$Hope it's help...$$

Variation of focal length to form a sharp image on retina is called
  • a)
    accommodation
  • b)
    aperture
  • c)
    retina control
  • d)
    sutter
Correct answer is option 'A'. Can you explain this answer?

Om Desai answered
The ability of the eye in terms of variation of the focal length to form sharp images on the retina is called accommodation.
 
In simpler terms, the ability of the eye to change the focus from a near distance or a far distance is called accommodation of the eye.
It is possible because of the lens which changes its shape. This makes it possible for the eye to keep focus on an object even when its distance from the eye changes.
 

In a concave mirror when the object is located beyond C the magnification is
  • a)
    More than 1
  • b)
    Equal to 1
  • c)
    Less than 1
  • d)
    Both a and b
Correct answer is option 'C'. Can you explain this answer?

Rajeev Saxena answered
In the animation above, a right-side-up object is located above the principal axis at a position beyond the center of curvature (C). The ray diagram shows that the image of this object is located as an upside-down image positioned between the center of curvature (C) and the focal point (F). In fact, it can be generalized that anytime the object is located beyond the center of curvature, the image will be located somewhere between the center of curvature and the focal point. In such cases, the image will be inverted and reduced in size (i.e., smaller than the object). Such images are called real images because they are formed by the actual convergence of reflected light rays at the image location. Real images are always formed on the same side of the mirror as the object.

Light is confined within the core of a simple optical fiber by:
  • a)
    total internal reflection at the outer edge of the cladding.
  • b)
    reflection from the fiber’s plastic coating.
  • c)
    total internal reflection at the core cladding boundary.
  • d)
    refraction
Correct answer is option 'C'. Can you explain this answer?

Riya Banerjee answered
Light remains confined within the core of simple optical fibre because of Total internal reflection from core cladding boundary.
Light is confined within the core of a simple optical fiber by. If light hits a boundary of a material of lower refractive index at a steep enough angle, it cannot get out and it's reflected back into the high index medium, as in the figure below.
An optical fibre is a thin rod of high-quality glass. Very little light is absorbed by the glass.Optical fibres can carry more information than an ordinary cable of the same thickness. The signals in optical fibres do not weaken as much over long distances as the signals in ordinary cables.
Total internal reflection. When light traveling in an optically dense medium hits a boundary at a steep angle (larger than the critical angle for the boundary), the light is completely reflected. This effect is used in optical fibers to confine light in the core.
The light in a fiber-optic cable travels through the core (hallway) by constantly bouncing from the cladding (mirror-lined walls), a principle called total internal reflection. Because the cladding does not absorb any light from the core, the light wave can travel great distances.
 

Total internal reflection occurs when
  • a)
    Angle of incidence is equal to critical angle
  • b)
    Angle of incidence is greater than critical angle
  • c)
    Total internal reflection doesn’t depend on angle of incidence or critical angle
  • d)
    Angle of incidence is less than critical angle
Correct answer is option 'B'. Can you explain this answer?

Rounak Goyal answered
Total internal reflection is the phenomenon which occurs when a propagated wave strikes a medium boundary at an angle larger than a particular critical angle with respect to the normal to the surface.The critical angle is the angle of incidence above which the total internal reflection occurs.

When light is reflected from a mirror a change occurs in its
  • a)
    phase,
  • b)
    frequency,
  • c)
    wavelength,
  • d)
    speed
Correct answer is option 'A'. Can you explain this answer?

Ramesh Chand answered
When a light wave is reflected from an object , it changes not only it's amplitude but also its phase according to the properties of the object at a particular point. Therefore, option A is the right answer.

Magnifying power of a compound microscope is high if
  • a)
    the objective has a long focal length and eye-piece has a short focal
  • b)
    the objective has a short focal length and the eye-piece has a long
  • c)
    both objective and eye-piece have short focal lengths
  • d)
    both objective and eye-piece have long focal lengths
Correct answer is option 'C'. Can you explain this answer?

Ciel Knowledge answered
Magnifying power of a compound- microscope is given by m=− (l​D​/f0​fe​)
where, l is length of tube
D is least distance of clear vision
f0​ is focal length of objective
fe​ is focal length of eyepiece
So, clearly, it can be seen that focal length of objective and eyepiece needs to be decreased so that magnifying power increases.
 

In image formation from spherical mirrors, only paraxial rays are considered because they
  • a)
    are easy to handle geometrically
  • b)
    contain most of the intensity of the incident light
  • c)
    form nearly a point image of a point source
  • d)
    show minimum dispersion effect.
Correct answer is option 'C'. Can you explain this answer?

Riya Banerjee answered
Paraxial rays are ones which originate from a point source and make a small angle with the principal axis. After reflection, they give a point image, either real or virtual.
But if rays from point source that are far from the mirror axis, gives a blurred image, an effect called spherical aberration.

Two mirrors are placed perpendicular to each other. A ray strikes the first mirror and after reflection from the first mirror it falls on the second mirror. The ray after reflection from second mirror will emerge
  • a)
    Perpendicular to the original ray
  • b)
    Parallel to the original ray
  • c)
    At 450 to the original ray
  • d)
    At 600 to the original ray
Correct answer is option 'B'. Can you explain this answer?

Preeti Iyer answered
Let ray strikes the vertical mirror by angle of incidence θ. Then by joining the perpendiculars of two mirrors it is clear from the diagram that angle of incidence at the horizontal mirror is (90−θ).
 
∴ reflected ray from the horizontal mirror makes angle θ with the horizontal mirror also incident ray at vertical mirror makes angle θ with horizontal axis. 
∴ reflected ray is parallel to the original ray.
This is true for two perpendicular mirrors fixed at any positions.

If an object is placed unsymmetrically between two plane mirrors, inclined at the angle of 600, then the total number of images formed is
  • a)
    5
  • b)
    4
  • c)
    2
  • d)
    infinite
Correct answer is option 'A'. Can you explain this answer?

Hansa Sharma answered
The number of images between two plane mirror inclined at an angle θ when the object is placed symmetrically between the mirrors is given as
n=(360o​/ θ) −1
Given, 
θ=60o
∴n=(360o​/60)−1=6−1=5

A plano-convex lens, when silvered on the plane side, behaves like a concave mirror of focal length 30 cm. When it is silvered on the convex side, it behaves like a concave mirror of focal length 10 cm. The refractive index of the material of the lens is
  • a)
    2.0
  • b)
    2.5
  • c)
    1.5
  • d)
    3.0
Correct answer is option 'C'. Can you explain this answer?

Gauri Kaur answered
3. 1.5
Solution: Let the radius of curvature of the convex surface of the plano-convex lens be RRR. The focal length of a concave mirror is related to the radius of curvature by f=R2f = \frac{R}{2}f=2R​.
  1. When the plane side is silvered, the system behaves as a concave mirror with focal length 30 cm. The effective focal length fefff_{\text{eff}}feff​ of this system can be found using the mirror formula and lens formula combined, but given the scenario, we focus on this system.
  2. When the convex side is silvered, the system behaves like a concave mirror with focal length 10 cm.
By using the relations for combined focal length and refractive index of the plano-convex lens, and applying these boundary conditions, the refractive index nnn of the material of the lens is determined to be 1.5.

Which of the following letters do not surface lateral inversion
  • a)
    HGA
  • b)
    HOX
  • c)
    VET
  • d)
    YUL
Correct answer is option 'B'. Can you explain this answer?

Hansa Sharma answered
Lateral inversion-The phenomenon of left side appearing right side and right side appearing left side on reflection in a plane mirror is called lateral inversion.
Letters that do not show lateral inversion are,
A, H, I, M, O, T, U, V, W, X, Y
Hence, HOX will not show lateral inversion. 

Which of the following cannot form real image of a real object ?
  • a)
    Concave mirror
  • b)
    Convex mirror 
  • c)
    Plane mirror
  • d)
    Diverging lens
Correct answer is option 'B'. Can you explain this answer?

Lavanya Menon answered
A concave mirror can form both real and virtual images depending upon the distance between object and mirror.
A convex mirror can only form virtual, erect, and diminished images; therefore, it is true that it can never form a real image of a real object. 

-Virtual image cannot be formed from a virtual object.
- When an object is placed between pole and focus, the image formed by the concave mirror is magnified, virtual and erect.
-When an object is placed beyond the centre of curvature , image of it is formed between centre of curvature and focus which is diminished,real and inverted,so real image of real object can be formed by concave mirror.
-When the object is virtual, the image formed is real for the concave surface as shown in figure.

The ratio of angular dispersion of to the angle of deviation for the mean wavelength is called Dispersive Power. Represented by
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Om Desai answered
The dispersive power(ω)Of a prism is defined as the ratio of angular dispersion to the mean deviation produced by the prism,
Mean deviation=��
Angular dispersion= ��v- ��y
Dispersive power=angular dispersion/mean deviation
Dispersive power= ��v- ��y/ ��

Newtonian reflecting type telescope uses
  • a)
    Concave mirror
  • b)
    Convex lens
  • c)
    Concave lens
  • d)
    Convex mirror
Correct answer is option 'B'. Can you explain this answer?

A reflecting telescope (also called a reflector) is a telescope that uses a single or a combination of curved mirrors that reflect light and form an image. The reflecting telescope was invented in the 17th century, by Isaac Newton, as an alternative to the refracting telescope which, at that time, was a design that suffered from severe chromatic aberration. Although reflecting telescopes produce other types of optical aberrations, it is a design that allows for very large diameter objectives.

Astronomical (reflecting) telescopes. In a reflecting telescope, instead of a convex objective lens, a concave mirror is used to collect parallel rays from the object and form an image at the focal point. Then the convex eyepiece lens is used to magnify this image for the viewer.

Critical angle is
  • a)
    The angle of refraction in the denser medium corresponding to which the angle of incidence in the rarer medium is 90°.
  • b)
    The angle of incidence in the denser medium corresponding to which the angle of refraction in the rarer medium is 0°.
  • c)
    The angle of incidence in the denser medium corresponding to which the angle of refraction in the rarer medium is 90°.
  • d)
    The angle of incidence in the rarer medium corresponding to which the angle of refraction in the denser medium is 90°
Correct answer is option 'C'. Can you explain this answer?

Rajeev Saxena answered
The Critical Angle
In the previous part of Lesson 3, the phenomenon of total internal reflection was introduced. Total internal reflection (TIR) is the phenomenon that involves the reflection of all the incident light off the boundary. TIR only takes place when both of the following two conditions are met:

a light ray is in the more dense medium and approaching the less dense medium.
the angle of incidence for the light ray is greater than the so-called critical angle.
In our introduction to TIR, we used the example of light traveling through water towards the boundary with a less dense material such as air. When the angle of incidence in water reaches a certain critical value, the refracted ray lies along the boundary, having an angle of refraction of 90-degrees. This angle of incidence is known as the critical angle; it is the largest angle of incidence for which refraction can still occur. For any angle of incidence greater than the critical angle, light will undergo total internal reflection.

For a rectangular slab, refraction takes place at
  • a)
    Two interfaces
  • b)
    Three interfaces
  • c)
    Four interfaces
  • d)
    One interfaces
Correct answer is option 'A'. Can you explain this answer?

Saanvi Bose answered
Refraction in a Rectangular Slab

In a rectangular slab, refraction takes place at two interfaces.

Explanation:

- A rectangular slab can be considered as a prism with a rectangular cross-section.
- When a ray of light enters the slab from air (or any other medium), it undergoes refraction at the first interface between air and the slab.
- The angle of incidence and the angle of refraction are related by Snell's law: n1 sinθ1 = n2 sinθ2, where n1 and n2 are the refractive indices of air and the slab, respectively, and θ1 and θ2 are the angles of incidence and refraction, respectively.
- The refracted ray travels through the slab and undergoes refraction again when it exits the slab and enters air (or any other medium).
- The angle of incidence and the angle of refraction at the second interface are related by Snell's law in a similar manner.
- Therefore, refraction takes place at two interfaces in a rectangular slab.

Conclusion:

Refraction in a rectangular slab takes place at two interfaces, one when the ray enters the slab and another when it exits the slab.

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