A concave lens has a focal length of -15 cm. What is the nature of the image for

Practice Questions

Q1
A concave lens has a focal length of -15 cm. What is the nature of the image formed by the lens when an object is placed at 30 cm from the lens?
  1. Real and inverted
  2. Virtual and erect
  3. Real and erect
  4. Virtual and inverted

Questions & Step-by-Step Solutions

A concave lens has a focal length of -15 cm. What is the nature of the image formed by the lens when an object is placed at 30 cm from the lens?
  • Step 1: Identify the type of lens. We have a concave lens.
  • Step 2: Note the focal length of the lens, which is -15 cm (the negative sign indicates it's a concave lens).
  • Step 3: Determine the position of the object. The object is placed at 30 cm from the lens.
  • Step 4: Compare the object distance (30 cm) with the focal length (-15 cm). Since 30 cm is greater than -15 cm, the object is beyond the focal length.
  • Step 5: Understand the properties of a concave lens. When the object is beyond the focal length, the image formed is virtual and erect.
  • Step 6: Conclude that the image formed by the concave lens in this case is virtual and erect.
  • Lens Formula – Understanding the relationship between object distance, image distance, and focal length using the lens formula (1/f = 1/v - 1/u).
  • Nature of Images – Identifying the characteristics of images formed by concave lenses, including virtual, erect, and diminished.
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