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Ray Optics and Optical Instruments

Ray Optics and Optical Instruments

Edited By Vishal kumar | Updated on Jun 07, 2023 02:36 PM IST

What Is Ray Optics

Have you ever wondered why a pencil bends when half immersed in water? Or why does a spoon appear deformed in a glass of water? These fascinating events can be described using ray optics techniques. Ray optics, often known as geometrical optics, is a branch of optics class 12 that studies how light behaves while travelling in straight lines or rays.

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The formation of rainbows is another interesting real-life example that can be described by ray optics. When sunlight passes through water droplets in the air, it is reflected and refracted, causing colour dispersion and the formation of a circular arc of colours known as a rainbow. Understanding ray optics principles allows us to understand how different colours are generated and why rainbows occur at specific angles relative to the observer.

What Is Optical Instruments

Optical instruments are devices that harness the principles of optics to manipulate and detect light, enabling us to observe and study objects that are otherwise invisible or difficult to perceive. These instruments utilize lenses, mirrors, and other optical components to enhance our vision, magnify objects, and provide valuable insights across various fields. A prominent example of an optical instrument is the microscope, which revolutionized the field of biology by allowing scientists to explore the intricate world of cells and microorganisms. Microscopes utilize lenses to magnify tiny objects, enabling detailed examination and analysis of biological specimens, leading to groundbreaking discoveries and advancements in medical research.

Topics Of Ray Optics And Optical Instruments

Topics and sub-topics of Ray Optics And Optical Instruments are listed below:

  1. Introduction

  2. Reflection of light by a spherical mirror

  • Sign Convention

  • Focal length of spherical mirrors

  • The mirror equation

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  1. Refraction

  2. Total Internal Reflection

  • Total internal reflection in nature and its technological application

  1. Refraction at spherical surface and by lenses

  • Refraction of a spherical surface

  • Refraction by a lens

  • Power of a lens

  • Combination of thin lens in contact

  1. Refraction through a prism

  2. Optical instruments

  • The microscope

  • Telescope

Overview Of Ray Optics And Optical Instruments

Physics ray optics, a branch of optics, focuses on the behaviour of light as it travels in straight lines or rays. It explains the formation of images by mirrors (concave and convex) and lenses (convex and concave). Optical instruments, such as microscopes and telescopes, rely on the principles of ray optics to magnify and enhance the observation of objects. Understanding ray optics is essential for designing and optimizing these instruments. It also plays a crucial role in correcting vision problems through eyeglasses, which utilize lenses based on the principles of ray optics.

Formula For Ray Optics And Optical Instruments

  • Mirror Formula: 1/v+1/u=1/f

Where, f= focal length, u= object distance from the mirror,v= image distance from mirror

  • Focal length of the mirror: f =R/2

Where, f= focal length of the mirror, R= radius of curvature

  • Linear magnification: m=I/O

Where, I= height of the image and O= height of the object

How To Prepare Ray Optics And Optical Instruments

Start by reviewing the fundamental principles of ray optics ncert, such as the laws of reflection and refraction, to prepare for the Ray Optics and Optical Instruments chapter. To expand your understanding, read textbooks and reference materials, and practise solving numerical problems to use these principles. In addition, study the working principles and uses of optical devices such as microscopes and telescopes, as well as image formation via mirrors and lenses. To reinforce your knowledge in this subject, conduct hands-on experiments, request clarification when necessary, and continue regular review and practice.

Notes For Ray Optics And Optical Instruments

  • Always remember to apply the sign convention when solving problems related to mirrors or lenses. Understanding the sign convention is crucial for correctly interpreting the results and avoiding errors in calculations.

  • It is important to thoroughly understand the concepts before memorizing formulas. Without a clear understanding, it can be confusing to determine which formula applies to a specific problem. Take the time to comprehend the underlying principles before memorizing formulas.

  • When dealing with problems involving multiple optical surfaces, it is advisable to solve them sequentially in a unidirectional manner. Calculate the required values for the previous surface before moving on to the next surface. This approach helps maintain clarity and avoids confusion in calculations.

  • The NCERT book provides excellent examples of optics class 12. Pay close attention to these examples and study them carefully. They can provide valuable insights and help reinforce your understanding of the concepts.

  • General Tip: While practising questions, make a habit of clearly identifying the given quantities and the quantities you need to find. This approach ensures a systematic and organized approach to problem-solving.

Recommended Books For Ray Optics And Optical Instruments

To build a strong conceptual foundation, begin by referring to the NCERT book for both theory and practice questions. This comprehensive resource will help you understand the fundamental concepts of class 12 ray optics and optical instruments. After completing the NCERT book, you can further enhance your problem-solving skills by solving questions from the NCERT Exemplar book. For more advanced-level questions, you can explore additional reference books like "Concepts of Physics" by H.C. Verma or "Understanding Physics" by DC Pandey. These books provide a deeper understanding of the subject and offer challenging problems to test your knowledge.

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Frequently Asked Question (FAQs)

1. What is the difference between concave and convex mirrors?

Concave mirrors curve inward and can create both real and virtual images, while convex mirrors curve outward and only produce virtual images.

2. How does a converging lens differ from a diverging lens?

A converging lens is thicker in the middle and can form both real and virtual images, while a diverging lens is thinner in the middle and only produces virtual images.

3. What is the focal length of a lens?

The focal length of a lens is the distance between the lens and its focal point, where parallel rays of light converge or appear to converge after passing through the lens.

4. How does the human eye work as an optical instrument?

The human eye uses a converging lens called the lens of the eye to focus incoming light onto the retina, where it is converted into neural signals that are transmitted to the brain for visual perception.

5. What causes the phenomenon of total internal reflection?

Total internal reflection occurs when light travelling from a denser medium to a less dense medium strikes the boundary at an angle greater than the critical angle. This causes the light to be completely reflected back into the denser medium instead of being refracted

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 5 g of Na2SO4 was dissolved in x g of H2O. The change in freezing point was found to be 3.820C.  If Na2SO4 is 81.5% ionised, the value of x (Kf for water=1.860C kg mol−1) is approximately : (molar mass of S=32 g mol−1 and that of Na=23 g mol−1)
Option: 1  15 g
Option: 2  25 g
Option: 3  45 g
Option: 4  65 g  
 

 50 mL of 0.2 M ammonia solution is treated with 25 mL of 0.2 M HCl.  If pKb of ammonia solution is 4.75, the pH of the mixture will be :
Option: 1 3.75
Option: 2 4.75
Option: 3 8.25
Option: 4 9.25
 

CH_3-CH=CH-CH_3+Br_2\overset{CCl_4}{\rightarrow}A

What is A?

Option: 1

CH_3-CH(Br)-CH_2-CH_3


Option: 2

CH_3-CH(Br)-CH(Br)-CH_3


Option: 3

CH_3-CH_2-CH_2-CH_2Br


Option: 4

None


\mathrm{NaNO_{3}} when heated gives a white solid A and two gases B and C. B and C are two important atmospheric gases. What is A, B and C ?

Option: 1

\mathrm{A}: \mathrm{NaNO}_2 \mathrm{~B}: \mathrm{O}_2 \mathrm{C}: \mathrm{N}_2


Option: 2

A: \mathrm{Na}_2 \mathrm{OB}: \mathrm{O}_2 \mathrm{C}: \mathrm{N}_2


Option: 3

A: \mathrm{NaNO}_2 \mathrm{~B}: \mathrm{O}_2 \mathrm{C}: \mathrm{Cl}_2


Option: 4

\mathrm{A}: \mathrm{Na}_2 \mathrm{OB}: \mathrm{O}_2 \mathrm{C}: \mathrm{Cl}_2


C_1+2 C_2+3 C_3+\ldots .n C_n=

Option: 1

2^n


Option: 2

\text { n. } 2^n


Option: 3

\text { n. } 2^{n-1}


Option: 4

n \cdot 2^{n+1}


 

A capacitor is made of two square plates each of side 'a' making a very small angle \alpha between them, as shown in the figure. The capacitance will be close to : 
Option: 1 \frac{\epsilon _{0}a^{2}}{d}\left ( 1 - \frac{\alpha a }{4 d } \right )

Option: 2 \frac{\epsilon _{0}a^{2}}{d}\left ( 1 + \frac{\alpha a }{4 d } \right )

Option: 3 \frac{\epsilon _{0}a^{2}}{d}\left ( 1 - \frac{\alpha a }{2 d } \right )

Option: 4 \frac{\epsilon _{0}a^{2}}{d}\left ( 1 - \frac{3 \alpha a }{2 d } \right )
 

 Among the following compounds, the increasing order of their basic strength is
Option: 1  (I) < (II) < (IV) < (III)
Option: 2  (I) < (II) < (III) < (IV)
Option: 3  (II) < (I) < (IV) < (III)
Option: 4  (II) < (I) < (III) < (IV)
 

 An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity C remains constant.  If during  this process the relation of pressure P and volume V is given by PVn=constant,  then n is given by (Here CP and CV are molar specific heat at constant pressure and constant volume, respectively)
Option: 1  n=\frac{C_{p}}{C_{v}}


Option: 2  n=\frac{C-C_{p}}{C-C_{v}}


Option: 3 n=\frac{C_{p}-C}{C-C_{v}}

Option: 4  n=\frac{C-C_{v}}{C-C_{p}}
 

As shown in the figure, a battery of emf \epsilon is connected to an inductor L and resistance R in series. The switch is closed at t = 0. The total charge that flows from the battery, between t = 0 and t = tc (tc is the time constant of the circuit ) is : 


Option: 1 \frac{\epsilon L }{R^{2}} \left ( 1 - \frac{1}{e} \right )
Option: 2 \frac{\epsilon L }{R^{2}}


Option: 3 \frac{\epsilon R }{eL^{2}}

Option: 4 \frac{\epsilon L }{eR^{2}}
 

As shown in the figure, a particle of mass 10 kg is placed at a point A. When the particle is slightly displaced to its right, it starts moving and reaches the point B. The speed  of the particle at B is x m/s. (Take g = 10 m/s2 ) The value of 'x' to the nearest is ___________.
Option: 1 10
Option: 2 20
Option: 3 40
Option: 4 15

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