Spherical Lenses

We are given a convex lens with a focal length and an object placed at a distance of (object distance is always negative for real objects). We are asked to find the position of the image formed. Step 1: Use the lens formula The lens formula relates the object distance ( ), the image distance ( ), and the focal length ( ): Rearranging to solve for : Step 2: Substitute the known values Substitute the given values into the lens formula: To simplify, take the least common denominator (LCD) of 20 and 30, which is 60: Step 3: Solve for Step 4: Conclusion The image is formed at a distance of on the opposite side of the object, indicating a real and inverted image. Answer: The position of the image is , so the correct answer is option (1).