A concave lens has a focal length of -10 cm. What is the nature of the image for

A concave lens has a focal length of -10 cm. What is the nature of the image formed when an object is placed at 15 cm from the lens?

A concave lens has a focal length of -10 cm. What is the nature of the image formed when an object is placed at 15 cm from the lens?

Step 1: Identify the type of lens. In this case, it is a concave lens.
Step 2: Note the focal length of the lens, which is -10 cm (the negative sign indicates it is a concave lens).
Step 3: Determine the object distance. The object is placed at 15 cm from the lens.
Step 4: Use the lens formula: 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance.
Step 5: Substitute the values into the lens formula: 1/(-10) = 1/v - 1/(-15).
Step 6: Simplify the equation to find the image distance (v).
Step 7: Calculate the value of v. You will find that v is positive, indicating that the image is virtual.
Step 8: Conclude that since the image is virtual, it is also upright and located on the same side as the object.

Lens Types – Understanding the characteristics of concave lenses, including their focal length and image formation properties.
Image Characteristics – Recognizing that concave lenses produce virtual, upright, and diminished images.
Lens Formula – Application of the lens formula (1/f = 1/v - 1/u) to determine image characteristics based on object distance.