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Question:

Draw a ray diagram showing the formation of image by a reflecting telescope.

Solution:

A reflecting telescope uses a concave mirror to collect and focus light. Here's how to draw a ray diagram showing image formation:

1. Draw the Concave Mirror: Draw a large concave mirror, curved inward. Mark its principal axis (a line passing through the center of curvature, C, and the pole, P, of the mirror). Label the focal point, F, which is halfway between the center of curvature and the pole.

2. Draw an Object: Place an object (represented by an arrow) on the principal axis, beyond the center of curvature (C). This object will be far from the mirror, as most astronomical objects are.

3. Draw the Rays: Draw at least two rays from the top of the object:

  • Ray 1 (Parallel Ray): Draw a ray from the top of the object parallel to the principal axis. After reflection, this ray will pass through the focal point (F).
  • Ray 2 (Ray through C): Draw a ray from the top of the object that passes through the center of curvature (C). This ray will reflect back along the same path.

4. Locate the Image: The point where the two reflected rays intersect is the location of the top of the image. Draw the image arrow. The base of the image will be on the principal axis.

Characteristics of the Image:

  • Real: The image is formed where the rays actually converge.
  • Inverted: The image is upside down.
  • Diminished: The image is smaller than the object. (Since the object is beyond C)

Diagram:

[It is impossible for me to draw a diagram within this text-based response. You would need to draw the diagram following the steps outlined above. Many online resources provide examples of ray diagrams for reflecting telescopes.]

This diagram shows how a reflecting telescope uses a concave mirror to create a real, inverted, and diminished image of a distant object. The image is then often magnified further using an eyepiece (not shown in this simple diagram).