Image formation by Convex and Concave Lenses

The concave and convex lenses are the spherical lenses that are bounded by two spherical transparent surfaces. The concave lens is made by binding together two transparent spherical surfaces which are curved inward while the convex lens is made by binding together two transparent spherical surfaces which are curved outward. Here we have explained how the image is formed by both the lens concave and convex.

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Image formation by Concave Lens:

When an object is placed at infinity: The incoming parallel rays strike the lens then the concave lens diverges them resulting in the formation of a virtual image at the focal point of the concave lens.

When an object is placed at a finite distance: The incoming parallel rays strike the lens then the concave lens diverges them, since the object is near to the lens therefore some of the incoming rays pass through the optical centre which results in the formation of the image between optical centre and focal point of the concave lens. The size of the image

Image formation by Convex Lens:

When an object is placed at infinity: The incoming parallel rays strike the lens then the convex lens converges them to its focal point resulting in the formation of a real and pointed image at the focal point of the convex lens.

When an object is placed at the point beyond the centre of curvature(2F1): When an object is placed beyond the centre of the curvature, then a parallel beam of the light strikes the lens and passes through the focal point after refraction. A beam of light also passes through the optical centre consequently image is formed between the centre of the curvature and the focal point.

When an object is placed at the point beyond the centre of curvature: When an object is placed at the centre of the curvature, then a parallel beam of the light strikes the lens and passes through the focal point after refraction. A beam of light also passes through the optical centre consequently a real image of the same size is formed at another centre of the curvature.

 

When an object is placed between the centre of curvature and focal point: When an object is placed between the centre of curvature and focal point, then a parallel beam of the light strikes the lens and passes through the focal point after refraction. A beam of light also passes through the optical centre consequently a real image of the size larger than the object is formed behind the centre of the curvature.

 

When an object is placed at a focal point: When an object is placed at the focal point, then a parallel beam of the light strikes the lens and passes through another focal point after refraction. A beam of light also passes through the optical centre consequently a real image of a much larger size is formed at the infinity.

When an object is placed between focal point and the optical centre: When an object is placed between the focal point and the optical centre, then a parallel beam of the light strikes the lens and passes through another focal point after refraction. A beam of light also passes through the optical centre consequently a virtual image of larger size is formed behind the centre of the curvature.

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NCERT Solutions of Science and Maths for Class 9,10,11 and 12

NCERT Solutions for class 9 maths

Chapter 1- Number System	Chapter 9-Areas of parallelogram and triangles
Chapter 2-Polynomial	Chapter 10-Circles
Chapter 3- Coordinate Geometry	Chapter 11-Construction
Chapter 4- Linear equations in two variables	Chapter 12-Heron’s Formula
Chapter 5- Introduction to Euclid’s Geometry	Chapter 13-Surface Areas and Volumes
Chapter 6-Lines and Angles	Chapter 14-Statistics
Chapter 7-Triangles	Chapter 15-Probability
Chapter 8- Quadrilateral

NCERT Solutions for class 9 science 

Chapter 1-Matter in our surroundings	Chapter 9- Force and laws of motion
Chapter 2-Is matter around us pure?	Chapter 10- Gravitation
Chapter3- Atoms and Molecules	Chapter 11- Work and Energy
Chapter 4-Structure of the Atom	Chapter 12- Sound
Chapter 5-Fundamental unit of life	Chapter 13-Why do we fall ill ?
Chapter 6- Tissues	Chapter 14- Natural Resources
Chapter 7- Diversity in living organism	Chapter 15-Improvement in food resources
Chapter 8- Motion	Last years question papers & sample papers

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Chapter 1-Real number	Chapter 9-Some application of Trigonometry
Chapter 2-Polynomial	Chapter 10-Circles
Chapter 3-Linear equations	Chapter 11- Construction
Chapter 4- Quadratic equations	Chapter 12-Area related to circle
Chapter 5-Arithmetic Progression	Chapter 13-Surface areas and Volume
Chapter 6-Triangle	Chapter 14-Statistics
Chapter 7- Co-ordinate geometry	Chapter 15-Probability
Chapter 8-Trigonometry

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Chapter 1- Chemical reactions and equations	Chapter 9- Heredity and Evolution
Chapter 2- Acid, Base and Salt	Chapter 10- Light reflection and refraction
Chapter 3- Metals and Non-Metals	Chapter 11- Human eye and colorful world
Chapter 4- Carbon and its Compounds	Chapter 12- Electricity
Chapter 5-Periodic classification of elements	Chapter 13-Magnetic effect of electric current
Chapter 6- Life Process	Chapter 14-Sources of Energy
Chapter 7-Control and Coordination	Chapter 15-Environment
Chapter 8- How do organisms reproduce?	Chapter 16-Management of Natural Resources

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Chapter 1-Sets	Chapter 9-Sequences and Series
Chapter 2- Relations and functions	Chapter 10- Straight Lines
Chapter 3- Trigonometry	Chapter 11-Conic Sections
Chapter 4-Principle of mathematical induction	Chapter 12-Introduction to three Dimensional Geometry
Chapter 5-Complex numbers	Chapter 13- Limits and Derivatives
Chapter 6- Linear Inequalities	Chapter 14-Mathematical Reasoning
Chapter 7- Permutations and Combinations	Chapter 15- Statistics
Chapter 8- Binomial Theorem	Chapter 16- Probability

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Chapter 1-Relations and Functions	Chapter 9-Differential Equations
Chapter 2-Inverse Trigonometric Functions	Chapter 10-Vector Algebra
Chapter 3-Matrices	Chapter 11 – Three Dimensional Geometry
Chapter 4-Determinants	Chapter 12-Linear Programming
Chapter 5- Continuity and Differentiability	Chapter 13-Probability
Chapter 6- Application of Derivation	CBSE Class 12- Question paper of maths 2021 with solutions
Chapter 7- Integrals
Chapter 8-Application of Integrals

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