If the focal length of a concave lens is -10 cm, what is the nature of the image

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Question: If the focal length of a concave lens is -10 cm, what is the nature of the image formed when an object is placed at 15 cm?

Options:

Correct Answer: Virtual and erect

Solution:

Concave lenses always produce virtual and erect images regardless of the object distance.

If the focal length of a concave lens is -10 cm, what is the nature of the image formed when an object is placed at 15 cm?

If the focal length of a concave lens is -10 cm, what is the nature of the image formed when an object is placed at 15 cm?

Step 1: Understand that a concave lens has a negative focal length. In this case, the focal length is -10 cm.
Step 2: Know that concave lenses always produce virtual images. This means the image cannot be projected on a screen.
Step 3: Remember that the image formed by a concave lens is always erect, meaning it is upright compared to the object.
Step 4: Since the object is placed at 15 cm, which is farther than the focal length, the image will still be 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).
Image Characteristics of Concave Lenses – Concave lenses always produce virtual, erect, and diminished images regardless of the object's position.