Math Problem Statement

how to draw the ray diagram

how to draw the ray diagram

Solution

To draw the ray diagram for the convex lens as shown in the image:

Steps to Draw the Ray Diagram:

  1. Identify the Key Elements:

    • Mark the optical axis (horizontal centerline).
    • Mark the focal points (FF) and twice the focal length (2F2F) on both sides of the lens.
  2. Draw the Object:

    • Place the object as shown in the diagram (upright arrow).
  3. Draw the Rays:

    • Ray 1 (Parallel to Optical Axis):
      • Draw a ray from the top of the object parallel to the optical axis.
      • After passing through the lens, this ray refracts and passes through the focal point on the other side of the lens.
    • Ray 2 (Through the Optical Center):
      • Draw a ray from the top of the object straight through the optical center of the lens. This ray will continue in a straight line without bending.
    • Ray 3 (Through Focal Point on the Object Side):
      • Draw a ray passing through the focal point on the same side of the object.
      • After passing through the lens, it will emerge parallel to the optical axis.
  4. Locate the Image:

    • The intersection of these refracted rays on the other side of the lens indicates the location of the image. The image's position, size, and nature (real or virtual) can be determined from this.
  5. Complete the Diagram:

    • Mark the image with an arrow at the intersection point, showing the orientation (inverted or upright).
    • Label the image appropriately.

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Math Problem Analysis

Mathematical Concepts

Ray Optics
Convex Lens
Image Formation

Formulas

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Theorems

Principle of Refraction
Lens Formula

Suitable Grade Level

Grades 9-11