Question

n object 37.5 cm in front of a certain lens is imaged 8.20 cm in front of that lens (on the same side as the object). what type of lens is this, and what is its focal length? is the image real or virtual? (b) if the image were located, instead, 44.5 cm in front of the lens, what type of lens would it be and what focal length would it have?

Answer 1

To determine the type of lens and its focal length, we can use the lens formula. The image formed for the given data is virtual. If the image is located at a different distance, we can use the same lens formula to determine the type of lens and its focal length.

Step-by-step explanation:

The given problem involves a lens that forms an image of an object placed in front of it. We are given that the object is 37.5 cm in front of the lens and the image is formed 8.20 cm in front of the lens. To determine the type of lens and its focal length, we can 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. Since the image is formed on the same side as the object, it is a virtual image. For the given data, substituting the values into the lens formula, we can solve for the focal length of the lens.

For the second part of the question, if the image were located 44.5 cm in front of the lens, we can use the same lens formula to determine the type of lens and its focal length. If the image is formed on the opposite side of the object, it is a real image.