An object is placed 14cm from the convex lens. If this lens is of focal length 7cm determine the position and nature of image by graphical method.

Cannot graph on these posts.

To determine the position and nature of the image formed by a convex lens using the graphical method, you can follow these steps:

Step 1: Draw a horizontal line and mark it as the principal axis of the lens.

Step 2: Choose a scale for the diagram and mark the focal points of the lens. For a convex lens, the focal points lie on the principal axis and are equidistant from the center of the lens. In this case, the focal length is given as 7cm, so mark two points on the principal axis, each 7cm away from the center in both directions.

Step 3: Locate the position of the object. In this case, the object is placed 14cm from the lens. Measure 14cm from the left of the lens along the principal axis and mark the object.

Step 4: Use a ray diagram to locate the image formed by the lens. Draw two rays from the top and bottom of the object. One ray should pass through the center of the lens undeviated, while the other should be drawn parallel to the principal axis and pass through the focal point on the right side of the lens.

Step 5: Extend these rays behind the lens. The point where the two extended rays intersect is the position of the image formed by the lens. Draw the image, ensuring that it is on the same side of the lens as the object.

Step 6: Determine the nature of the image. If the image is formed on the same side of the lens as the object, it is a real image. If the image is formed on the opposite side of the lens, it is a virtual image. Additionally, if the image is inverted, it is a real image, and if it is erect, it is a virtual image.

By following these steps, you can determine the position and nature of the image formed by a convex lens using the graphical method.