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?

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Q: 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?

Solution: For a concave lens, the image formed is virtual and erect when the object is placed beyond the focal length.

Steps: 6

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.