According to Cartesian sign convention the heights measureda)upwards w...
Explanation:
Cartesian sign convention: The Cartesian sign convention is a set of rules that helps to determine the sign of the object distance, image distance, focal length, and height of the object and image in the case of mirrors and lenses. It is based on the Cartesian coordinate system and the principal axis of the mirror or lens.
Positive heights: According to the Cartesian sign convention, the heights measured upwards with respect to x-axis and normal to the principal axis (x-axis) of the mirror/lens are taken as positive. This means that if an object or image is above the x-axis and perpendicular to it, its height will be considered positive.
Negative heights: On the other hand, if an object or image is below the x-axis and perpendicular to it, its height will be considered negative. This is because the x-axis is the reference line and all measurements are taken with respect to it.
Other conventions: The Cartesian sign convention also has other rules for determining the sign of object distance, image distance, and focal length. These rules are based on the direction of light rays and the position of the object and image with respect to the mirror or lens.
Importance: The Cartesian sign convention is important in optics because it helps in calculating the size and position of the image formed by a mirror or lens. It also helps in understanding the nature of the image (real or virtual) and the magnification produced by the mirror or lens.