Images Formed by Curved Mirrors:
We can determine nature and position of images created by curved mirrors with aid of ray diagrams drawn to scale. To do this, use of the facts given below:
i) The ray parallel to principal axis passes through principal focus after reflection as shown in (a) figure.
ii) The ray through center of curvature is reflected back along its path as shown in (b) figure
iii) As the corollary to (i), any ray through principal focus is reflected parallel to the principal axis shown in (c) Figure. Points to which reflected rays converge or from which they seem to diverge represent required image. Though, tracing of only two of the rays will allow us to determine position of image.
Image Formed by a Concave Mirror When the Object is Placed Beyond Centre of Curvature:
Figure given above shows ray diagram for Image formed by the concave mirror when object is placed beyond the center of curvature and OP represents the object, IQ represents image. F and C respectively represent the Principal focus and the center of the curvature of the mirror.
It shows that image formed is inverted (i.e., in opposite direction to object). Image is also diminished (i.e., smaller than object) and it happens to right of the center of curvature C. At last, image is real, as it can be received on screen.
Image Formed by the Concave Mirror when Object is Placed between Center of Curvature C and Principal Focus F:
It shows ray diagram for image formed by the concave mirror when object is placed between center of curvature C and principal focus F.
The figure given above suggests that image formed by concave mirror has characteristics given below:
i) It is real;
ii) It is magnified, i.e., larger than the object;
iii) It occurs after C (to left of C); and
iv) it is inverted.
Image Formed by a Concave Mirror when the Object is between the Principal Focus F and the Mirror:
It shows the ray diagram of image formed by concave mirror when object lies between the mirror and principal focus F.
The figure suggests that the image formed is behind the mirrors. Therefore, it is virtual because it cannot be received on the screen.
The Mirror Formula:
It is a distance of object from mirror is called as object distance. This is generally signified by letter u. Likewise, distance between image and mirror is called as image distance, this is usually signified by letter v, also one may not require to find out u or v by construction as it has been experimentally found, that there is mathematical relationship connecting the parameters (without proof). Mathematical relationship is provided as:
1/v + 1/u = 1/f
Where f is the focal length.
Magnification:
In the day to day language, magnification is a degree of enlargement or reduction of size of the object through it image formed.
Magnification is mathematically signified by M.
M = Height of image/Height of object
This can also be signified in terms of image distance of mirror v and object distance u from mirror. Mathematically it can be stated as:
M - Image distance/object distance
I.e. M = v/u
The real image is considered as having positive value, while the virtual image is regarded as having negative value. This convention is usually borne in mind in application of mirror formula. This signifies that distances for real objects and images are regarded as positive while distance for virtual objects or images are considered to be negative. Also, focal length for the concave mirror is usually regarded as positive while that of the convex mirror is considered as negative value.
Convex mirror:
It shows ray diagram for formation of the image by the convex mirror. OP is an object and IQ is an image. As usual, ray PA that is parallel to principal axis of mirror, is reflected from surface of the mirror at A as if it is coming from F. Also, ray PB which is directed from top of the object towards center of curvature (C) of mirror is reflected back along same path as if it is coming from C. Therefore, intersection of two rays gives rise to formation of image IQ. It shows that image formed by convex mirror is
i) Upright
ii) Formed behind the mirror; therefore it is virtual;
iii) Diminished, that is, smaller than the object.
It is essential to note that features of image defined above are true for convex mirror, irrespective of where object is placed in front of the mirror. Therefore, convex mirror is said to have a very wide field of view. Therefore, as image formed by the convex mirror is erect, convex mirror is always use in motor vehicle as side mirror.
Tutorsglobe: A way to secure high grade in your curriculum (Online Tutoring)
Expand your confidence, grow study skills and improve your grades.
Since 2009, Tutorsglobe has proactively helped millions of students to get better grades in school, college or university and score well in competitive tests with live, one-on-one online tutoring.
Using an advanced developed tutoring system providing little or no wait time, the students are connected on-demand with a tutor at www.tutorsglobe.com. Students work one-on-one, in real-time with a tutor, communicating and studying using a virtual whiteboard technology. Scientific and mathematical notation, symbols, geometric figures, graphing and freehand drawing can be rendered quickly and easily in the advanced whiteboard.
Free to know our price and packages for online physics tutoring. Chat with us or submit request at [email protected]
tutorsglobe.com mycoplasma hominis assignment help-homework help by online mycoplasma tutors
tutorsglobe.com explaination of downward translocation assignment help-homework help by online translocation types tutors
tutorsglobe.com commensalism assignment help-homework help by online positive interactions tutors
The Energetic of Particle tutorial all along with the key concepts of a-Decay, Binding energy, disintegration energy of nuclei, Range of a -Particle, a-decay paradox, ß Decay, Electron capture or k-capture, ß-spectrum, Neutrino, ? - Decay
tutorsglobe.com land assignment help-homework help by online kinds of factors of production tutors
tutorsglobe.com freedom of entry and exit of firms assignment help-homework help by online characteristics of monopolistic competition tutors
Anions-Other Constituents of Concern in Water tutorial all along with the key concepts of Anions in Natural and Wastewaters, Residual chlorine, Chlorine-Hypochlorous acid with Substances in Water, Reactions by reducing agents, Reactions with phenols, Volatile Acids in Water
Financial ratios give a quick and comparatively simple means of assessing the financial health of a business.
automatic irons are fitted along with a thermostatic switch to regulate the heat to a particular value that was predetermined.
TutorsGlobe.com Alkanoic Acids Assignment Help-Homework Help by Online Access Chemistry Tutors
a half duplex system gives for communications in both of the directions, but only in one direction at a time but not simultaneously in both of the direction.
tutorsglobe.com clinical manifestation of herpes virus assignment help-homework help by online herpes viruses tutors
Theory and lecture notes of Sampling Lab all along with the key concepts of Sampling Lab, Random Sampling, Systematic Sampling, Convenience Sampling, Stratified Sampling and Cluster Sampling. Tutorsglobe offers homework help, assignment help and tutor’s assistance on Theory of Sampling Lab.
Gastrulation-Invagination and Organogenesis Formation tutorial all along with the key concepts of Function of primary mesenchyme cells, First phase of archenteron invagination, fate map of Xenopus, Positioning blastopore, Migration of involuting mesoderm and Formation of extraembryonic membranes
tutorsglobe.com immunoglobulins assignment help-homework help by online immunology tutors
1939407
Questions Asked
3689
Tutors
1487843
Questions Answered
Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!