Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

In the figure below, a pinecone is at distance p_1 = 2.1 m in front of a lens of

ID: 1610894 • Letter: I

Question

In the figure below, a pinecone is at distance p_1 = 2.1 m in front of a lens of focal length f = 0.63 m. A flat mirror is at distance d = 2.3 m behind the lens. Light from the pinecone passes rightward through the lens, reflects from the mirror, passes leftward through the lens, and forms a final image of the pinecone. What is the distance between the lens and the final image? __________ m What is the overall lateral magnification of the pinecone? __________ Describe the final image. (Select all that apply.) real virtua upright inverted to the left of the lens to the right of the lens

Explanation / Answer

1/v -1/u = 1/f

1/v - 1/( -2.1) = 1/ 0.63

v = 0.9 m

the Image of converging lense is [2.3-0.9] = 1.4 m in front of plane mirror

final image is virtual at a distance of (d+1.4)m from convex lens;

= 3.7 meters

(b) m = v/u = 0.9 / (-2.1)

= -0.428 inveted and diminished

(c)

virtual

right of lens