10th Class Physics Chapter 9: Light Reflection and Refraction
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Questions and Answers

What are the fundamental laws of reflection, and how do they apply to both plane and curved mirrors?

The fundamental laws of reflection are: (i) The angle of incidence is equal to the angle of reflection, and (ii) The incident ray, the normal to the mirror at the point of incidence, and the reflected ray all lie in the same plane. These laws apply to both plane and curved mirrors.

What are the distinguishing characteristics of images formed by plane mirrors, and how do they differ from those formed by curved mirrors?

Images formed by plane mirrors are always virtual, erect, equal in size to the object, and laterally inverted. On the other hand, images formed by curved mirrors can vary in size, orientation, and nature depending on whether the mirror is concave or convex.

Can you explain the difference between concave and convex mirrors, including their reflective surfaces and how they affect the formation of images?

Concave mirrors curve inward and converge light rays to a focal point, forming real or virtual images based on the object's position. Convex mirrors curve outward and diverge light rays, always forming virtual, smaller, and upright images.

How does the location of the centre of curvature differ for concave and convex spherical mirrors, and how does this relate to their reflective properties?

<p>The centre of curvature for concave mirrors lies in front of the mirror, while for convex mirrors, it lies behind the mirror. This difference impacts the reflective properties as it affects how light is reflected and the type of images that are formed by the mirrors.</p> Signup and view all the answers

Can you explain the concept of the principal axis and its significance in understanding the behavior of spherical mirrors?

<p>The principal axis of a mirror is a line passing through the pole and the center of curvature. It is normal to the mirror at its pole. Understanding the principal axis helps in visualizing how light rays interact with the mirror and where images are formed.</p> Signup and view all the answers

Define the principal focus of a concave mirror.

<p>The principal focus of a concave mirror is the point on its principal axis where parallel rays of light converge after reflection.</p> Signup and view all the answers

The radius of curvature of a spherical mirror is 20 cm. What is its focal length?

<p>The focal length would be half of the radius of curvature. Therefore, the focal length of the mirror would be 10 cm.</p> Signup and view all the answers

Name a mirror that can give an erect and enlarged image of an object.

<p>Convex mirror</p> Signup and view all the answers

Why do we prefer a convex mirror as a rear-view mirror in vehicles?

<p>Convex mirrors are preferred as rear-view mirrors in vehicles because they provide a wider field of view, always produce an erect image, and enable the driver to see a larger area behind the vehicle.</p> Signup and view all the answers

Can you explain the New Cartesian Sign Convention for reflection by spherical mirrors, including the rules for determining the sign of distances and the placement of objects with respect to the mirror?

<p>The New Cartesian Sign Convention states that distances are measured from the pole of the mirror with specific signs (+ or -) depending on the direction. Objects are always placed to the left of the mirror, and convention is used to determine the nature of the image produced.</p> Signup and view all the answers

How is the mirror formula derived, and what is its significance in determining the relationship between object distance, image distance, and focal length in spherical mirrors?

<p>The mirror formula is derived from geometric principles using ray diagrams. It is significant as it mathematically relates the object distance, image distance, and focal length in spherical mirrors, allowing for accurate image formation predictions.</p> Signup and view all the answers

Can you explain the concept of magnification in the context of spherical mirrors, including how it is calculated and its relationship with the heights of the object and image, as well as the nature of the image (real/virtual)?

<p>Magnification in spherical mirrors is the ratio of the height of the image to the height of the object. It is calculated by dividing the height of the image by the height of the object. The sign of the magnification indicates whether the image is real or virtual.</p> Signup and view all the answers

How is the refractive index of a medium calculated using the ratio of the speed of light in air to the speed of light in the medium?

<p>The refractive index of a medium is calculated by dividing the speed of light in air by the speed of light in the medium.</p> Signup and view all the answers

How does the refractive index help in understanding the optical properties of different materials?

<p>The refractive index helps in understanding how light propagates and bends in different materials based on their speed of light.</p> Signup and view all the answers

What is the refractive index of water according to Table 9.3?

<p>1.33</p> Signup and view all the answers

What is the refractive index of diamond according to Table 9.3?

<p>2.42</p> Signup and view all the answers

What is the significance of the principal focus in concave and convex mirrors, and how does it relate to the focal length of the mirror?

<p>The principal focus is the point where light rays parallel to the principal axis converge (in a concave mirror) or appear to diverge from (in a convex mirror), directly related to the focal length of the mirror.</p> Signup and view all the answers

How does the relationship between the radius of curvature and the focal length of a spherical mirror impact the positioning of the principal focus and the formation of images by concave mirrors?

<p>For spherical mirrors, when the radius of curvature (R) equals 2 times the focal length (R = 2f), the principal focus is positioned midway between the pole and the center of curvature. This relationship affects how images are formed by concave mirrors.</p> Signup and view all the answers

Can you explain the process of image formation by spherical mirrors, particularly concave mirrors, including the characteristics of the images produced (real/virtual, enlarged/diminished, etc.) and how these characteristics vary with different object positions?

<p>Images formed by concave mirrors can be real or virtual, enlarged or diminished, depending on the position of the object. The nature, position, and size of the image change relative to the positions of the object, principal focus, and center of curvature.</p> Signup and view all the answers

How does the nature, position, and size of the image formed by a concave mirror vary with the position of the object in relation to points P, F, and C?

<p>The nature, position, and size of the image formed by a concave mirror vary based on the object's position relative to the principal focus (F), center of curvature (C), and pole (P). The image can be real or virtual, enlarged or diminished, depending on these positions.</p> Signup and view all the answers

Can you explain the process of constructing ray diagrams to locate the image of an extended object formed by spherical mirrors, including the selection of rays and their behavior after reflection, with examples from both concave and convex mirrors?

<p>Ray diagrams are constructed by considering rays that are parallel to the principal axis, pass through the principal focus, or reflect back along the same path after hitting the mirror. These rays help locate the image of an extended object formed by spherical mirrors. Examples from concave and convex mirrors illustrate how different rays interact and form images.</p> Signup and view all the answers

How do rays directed towards the principal focus behave after reflection in concave and convex mirrors, and what is their significance in constructing ray diagrams?

<p>Rays directed towards the principal focus, after reflection in concave mirrors, pass through the same focus, while in convex mirrors, they appear to diverge from the focus. These rays are vital in constructing ray diagrams as they help determine the path of light after reflection.</p> Signup and view all the answers

Why does the paper begin to burn and may even catch fire when focused by a lens under sunlight?

<p>The concentration of the sunlight at a point generated heat, causing the paper to burn.</p> Signup and view all the answers

What is the principal focus of a lens?

<p>The point on the principal axis where parallel rays of light converge or appear to diverge after refraction.</p> Signup and view all the answers

What happens to the size of the image formed by a concave lens as the object moves away from the lens?

<p>It becomes smaller</p> Signup and view all the answers

What conclusion can be drawn about the image formed by a concave lens regardless of the object's position?

<p>A concave lens will always produce a virtual, erect, and diminished image.</p> Signup and view all the answers

Ray diagrams help in understanding image formation by lenses and the behaviors of rays passing through them parallel to the principal axis.

<p>True</p> Signup and view all the answers

What is the radius of curvature of the convex mirror used for rear-view on an automobile?

<p>3.00 m</p> Signup and view all the answers

What is the focal length of the convex mirror used for rear-view on an automobile?

<p>1.50 m</p> Signup and view all the answers

What is the position of the image formed by the convex mirror?

<p>1.15 m behind the mirror</p> Signup and view all the answers

What is the magnification of the image formed by the convex mirror?

<p>0.23</p> Signup and view all the answers

What is the object size in the concave mirror problem?

<p>4.0 cm</p> Signup and view all the answers

At what distance from the mirror should a screen be placed to obtain a sharp image in the concave mirror problem?

<p>37.5 cm</p> Signup and view all the answers

What is the height of the image formed by the concave mirror?

<p>6.0 cm</p> Signup and view all the answers

Find the focal length of a convex mirror with a radius of curvature of 32 cm.

<p>16 cm</p> Signup and view all the answers

Where is the three times magnified real image located if an object is placed 10 cm in front of a concave mirror?

<p>37.5 cm behind the mirror</p> Signup and view all the answers

Which one of the following materials cannot be used to make a lens?

<p>Clay</p> Signup and view all the answers

Where should an object be placed in front of a convex lens to get a real image of the size of the object?

<p>At twice the focal length</p> Signup and view all the answers

Which of the following lenses would you prefer to use while reading small letters found in a dictionary?

<p>A convex lens of focal length 5 cm</p> Signup and view all the answers

What is the SI unit of power of a lens?

<p>dioptre</p> Signup and view all the answers

A doctor has prescribed a corrective lens of power +1.5 D. Find the focal length of the lens. Is the prescribed lens diverging or converging?

<p>The focal length of the lens is $\frac{1}{1.5} = 0.67$ meters (67 cm). The prescribed lens is converging.</p> Signup and view all the answers

How does the lens formula differ from the formula for spherical mirrors, and what does it relate to?

<p>The lens formula relates to object-distance (u), image-distance (v), and focal length (f).</p> Signup and view all the answers

Define magnification for a lens and how is it related to the object and image heights?

<p>Magnification for a lens is the ratio of image height to object height. It is related to v and u through the formula m = v/u.</p> Signup and view all the answers

How is the power of a lens defined and what does it indicate about the lens?

<p>The power of a lens is defined as the reciprocal of its focal length. The sign of the power indicates the type of lens - positive for convex and negative for concave.</p> Signup and view all the answers

What is the SI unit of power of a lens and how is it related to the focal length?

<p>The SI unit of power of a lens is 'dioptre' denoted by 'D'. 1 dioptre is the power of a lens with a focal length of 1 meter.</p> Signup and view all the answers

Explain how multiple lenses can be combined to increase magnification and sharpness of an image.

<p>Multiple lenses can be combined by summing their individual powers to increase magnification and sharpness of an image.</p> Signup and view all the answers

What is the relationship between the object-distance, image-distance, and focal length in a lens system?

<p>The relationship is described by the lens formula: 1/v + 1/u = 1/f.</p> Signup and view all the answers

State New Cartesian Sign Conventions for spherical mirrors and lenses.

<p>The New Cartesian Sign Conventions dictate that distances are positive in the direction of incident light and negative in the opposite direction.</p> Signup and view all the answers

What is the formula for magnification in lens systems and how is it related to object and image heights?

<p>Magnification formula is m = v/u, where m is the magnification, v is image distance, and u is object distance.</p> Signup and view all the answers

Study Notes

Reflection of Light

  • Light is reflected by objects and allows us to see them.
  • The angle of incidence is equal to the angle of reflection, and the incident ray, normal to the mirror, and reflected ray all lie in the same plane.
  • These laws of reflection are applicable to all types of reflecting surfaces, including spherical surfaces.

Image Formation by Plane Mirrors

  • Image formed by a plane mirror is always virtual and erect.
  • The size of the image is equal to that of the object.
  • The image formed is as far behind the mirror as the object is in front of it.
  • The image is laterally inverted.

Spherical Mirrors

  • A spherical mirror's reflecting surface is curved inwards or outwards.
  • A spherical mirror with a reflecting surface curved inwards is called a concave mirror.
  • A spherical mirror with a reflecting surface curved outwards is called a convex mirror.
  • The centre of the reflecting surface of a spherical mirror is called the pole.
  • The centre of curvature of a spherical mirror is the point on the sphere that the mirror is a part of.
  • The radius of curvature of a mirror is the radius of the sphere that the mirror is a part of.

Concave Mirrors

  • The centre of curvature of a concave mirror lies in front of it.
  • The principal focus of a concave mirror is the point where parallel rays converge after reflection.
  • The distance between the pole and the principal focus of a concave mirror is called the focal length.
  • The principal focus of a concave mirror lies midway between the pole and the centre of curvature.

Convex Mirrors

  • The centre of curvature of a convex mirror lies behind the mirror.
  • The principal focus of a convex mirror is the point where parallel rays appear to diverge from after reflection.
  • The principal focus of a convex mirror lies midway between the pole and the centre of curvature.

Image Formation by Spherical Mirrors

  • The image formed by a spherical mirror can be real or virtual, depending on the position of the object.
  • The image can be magnified, reduced, or have the same size as the object, depending on the position of the object.
  • The image formed by a concave mirror can be real and inverted, or virtual and erect, depending on the position of the object.

Ray Diagrams

  • Ray diagrams can be used to study the formation of images by spherical mirrors.
  • An infinite number of rays originate from each point of an extended object.
  • Two rays can be considered to locate the image of an object, and the intersection of at least two reflected rays gives the position of the image.### Spherical Mirrors
  • A ray parallel to the principal axis, after reflection, will pass through the principal focus in case of a concave mirror or appear to diverge from the principal focus in case of a convex mirror.
  • A ray passing through the principal focus of a concave mirror or a ray directed towards the principal focus of a convex mirror, after reflection, will emerge parallel to the principal axis.
  • A ray passing through the centre of curvature of a concave mirror or directed towards the centre of curvature of a convex mirror, after reflection, is reflected back along the same path.
  • A ray incident obliquely to the principal axis, towards the pole of the mirror, is reflected obliquely.

Image Formation by Concave Mirrors

  • The laws of reflection are followed at the point of incidence.
  • The angle of reflection equals the angle of incidence.
  • The ray diagrams for the formation of image by a concave mirror for various positions of the object are shown in Fig. 9.7.

Uses of Concave Mirrors

  • Concave mirrors are commonly used in torches, search-lights, and vehicles' headlights to get powerful parallel beams of light.
  • They are often used as shaving mirrors to see a larger image of the face.
  • Dentists use concave mirrors to see large images of the teeth of patients.
  • Large concave mirrors are used to concentrate sunlight to produce heat in solar furnaces.

Image Formation by Convex Mirrors

  • The ray diagrams for the formation of image by a convex mirror for various positions of the object are shown in Fig. 9.8.
  • The image formed by a convex mirror is virtual, erect, and diminished.

Uses of Convex Mirrors

  • Convex mirrors are commonly used as rear-view (wing) mirrors in vehicles.
  • They are preferred because they always give an erect, though diminished, image.
  • They have a wider field of view as they are curved outwards.

Sign Convention for Reflection by Spherical Mirrors

  • The New Cartesian Sign Convention is used to deal with the reflection of light by spherical mirrors.
  • The conventions are:
    • The object is always placed to the left of the mirror.
    • All distances parallel to the principal axis are measured from the pole of the mirror.
    • All the distances measured to the right of the origin (along + x-axis) are taken as positive while those measured to the left of the origin (along – x-axis) are taken as negative.
    • Distances measured perpendicular to and above the principal axis (along + y-axis) are taken as positive.
    • Distances measured perpendicular to and below the principal axis (along – y-axis) are taken as negative.

Mirror Formula and Magnification

  • The mirror formula is 1/v + 1/u = 1/f, where v is the image distance, u is the object distance, and f is the focal length.
  • Magnification produced by a spherical mirror gives the relative extent to which the image of an object is magnified with respect to the object size.
  • Magnification is expressed as the ratio of the height of the image to the height of the object.
  • Magnification is also related to the object distance and image distance.

Refraction of Light

  • Light seems to travel along straight-line paths in a transparent medium.

  • When light enters from one transparent medium to another, it changes its direction.

  • Day-to-day experiences, such as the bottom of a tank or a pond containing water appearing to be raised, or a pencil partly immersed in water appearing to be displaced, can be explained by refraction of light.### Refraction of Light

  • Refraction is the bending of light as it passes from one medium to another.

  • The extent of refraction depends on the pair of media and the angle of incidence.

  • A pencil appears to be displaced when viewed from above and below the water surface.

  • The appearance of the pencil's displacement varies with the type of liquid used (e.g., water, kerosene, or turpentine).

Activity 9.7

  • Place a coin at the bottom of a bucket filled with water.
  • Try to pick up the coin from the side of the bucket.
  • Repeat the activity to observe the effect of refraction.

Activity 9.8

  • Place a coin in a shallow bowl and move away until the coin disappears from view.
  • Ask a friend to pour water into the bowl without disturbing the coin.
  • Observe how the coin becomes visible again due to refraction.

Activity 9.9

  • Draw a straight line on a sheet of paper and place a glass slab on top of it.
  • Observe how the line appears to be bent at the edges of the glass slab.
  • Move the glass slab to make it normal to the line and observe the change.

Refraction through a Rectangular Glass Slab

  • Perform an activity to study the refraction of light through a glass slab.
  • Observe how the light ray changes direction at the points of incidence and emergence.

Laws of Refraction

  • The incident ray, refracted ray, and normal to the interface of two media lie in the same plane.
  • The ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant for a given pair of media and a given color of light (Snell's law).

Refractive Index

  • The refractive index is a measure of the extent of refraction.
  • It is the ratio of the speed of light in the first medium to the speed of light in the second medium.
  • The refractive index can be expressed as n21 = v1 / v2.

Absolute Refractive Index

  • The absolute refractive index of a medium is its refractive index with respect to vacuum.
  • It is represented by the symbol n.

Refractive Index of Various Media

  • The refractive indices of various media, such as air, water, glass, and diamond, are given in Table 9.3.

Optical Density

  • Optical density is a measure of a medium's ability to refract light.
  • It is not the same as mass density.
  • A medium with a higher refractive index is optically denser than one with a lower refractive index.

Refraction by Spherical Lenses

  • A lens is a transparent material bound by two spherical surfaces.
  • A lens can be either convex (converging) or concave (diverging).
  • Convex lenses are thicker in the middle, while concave lenses are thicker at the edges.
  • The centres of curvature of a lens are represented by the letter C.
  • The principal axis of a lens is an imaginary line passing through the two centres of curvature.
  • The optical centre of a lens is the central point through which a ray of light passes without deviation.
  • The aperture of a lens is its effective diameter.

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This quiz covers the basics of light, reflection, and refraction. It explores how light makes objects visible and its importance in our daily lives.

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