The properties of the point represented in the four quadrants of the coordinate plane are: Further, any point in the coordinate plane is referred to by a point (x, y), where the x value is the position of the point with reference to the x-axis, and the y value is the position of the point with reference to the y-axis. These coordinate axes divide the plane into four quadrants, and the point of intersection of these axes is the origin (0, 0). The two axes of the coordinate plane are the horizontal x-axis and the vertical y-axis. ![]() Coordinate PlaneĪ cartesian plane divides the plane space into two dimensions and is useful to easily locate the points. It is also referred to as the coordinate plane. Here we shall try to know about the coordinate plane and the coordinates of a point, to gain an initial understanding of Coordinate geometry. Practice Questions on Coordinate GeometryĬoordinate geometry is an important branch of math, which helps in presenting the geometric figures in a two-dimensional plane and to learn the properties of these figures. Figures such as straight lines, curves, circles, ellipse, hyperbola, polygons, can be easily drawn and presented to scale in the coordinate axes. Further coordinate geometry helps to work algebraically and study the properties of geometric figures with the help of the coordinate system. Similarly locating the point in a plane or a piece of paper, we have the coordinate axes with the horizontal x-axis and the vertical y-axis.Ĭoordinate geometry is the study of geometric figures by plotting them in the coordinate axes. The zero degrees 'Greenwich Longitude' and the zero degrees 'Equator Latitude' are the starting lines of this coordinate system. The coordinate system of our earth is made up of imaginary lines called latitudes and longitudes. Would the same pattern be obtained for two independent sources of light, such as the headlights of a distant car? Explain.Every place on this planet has coordinates that help us to locate it easily on the world map. ![]() We illustrate the double slit experiment with monochromatic (single ).ġ: Young’s double slit experiment breaks a single light beam into two sources. Young used sunlight, where each wavelength forms its own pattern, making the effect more difficult to see. Why did Young then pass the light through a double slit? The answer to this question is that two slits provide two coherent light sources that then interfere constructively or destructively. Incoherent means the waves have random phase relationships. By coherent, we mean waves are in phase or have a definite phase relationship. Furthermore, Young first passed light from a single source (the Sun) through a single slit to make the light somewhat coherent. Why do we not ordinarily observe wave behavior for light, such as observed in Young’s double slit experiment? First, light must interact with something small, such as the closely spaced slits used by Young, to show pronounced wave effects. Without diffraction and interference, the light would simply make two lines on the screen. Here pure-wavelength light sent through a pair of vertical slits is diffracted into a pattern on the screen of numerous vertical lines spread out horizontally. The acceptance of the wave character of light came many years later when, in 1801, the English physicist and physician Thomas Young (1773–1829) did his now-classic double slit experiment (see Figure 1). The fact that Huygens’s principle worked was not considered evidence that was direct enough to prove that light is a wave. Owing to Newton’s tremendous stature, his view generally prevailed. ![]() Newton felt that there were other explanations for color, and for the interference and diffraction effects that were observable at the time. Define constructive interference for a double slit and destructive interference for a double slit.Īlthough Christiaan Huygens thought that light was a wave, Isaac Newton did not.
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