Question

complete visual as well

Problem Statement A thin converging lens is found to form an image of a distant building 24 cm from the lens. If an insect is now placed 16 cm from this lens, how far FROM THE INSECT will its image be formed? Visual Representation • Draw an optical axis with the lens centered on the axis. Represent the object at the correct distance from the lens • Draw the three “special rays” from the top of the object • Extend the rays until they converge. • Draw the image. Mathematical Representation • Start with the thin lens equation and definition of magnification • Substitute in the known values • Solve for the desired unknown • Check units and assess if your answer is reasonable

Answer 1

the As the Building is tar away, Poin Hence bocal length Image is formed at its focal = + 24cm ->t F V Image distance M= • 16cm fut f = (object distance), t= tocal length +24cm Using lens bormula, Yu-hu- Vf =) 2 2 = /u + 1/4 = uf V= nf =(-16) (24) = -384 --48cm utf - 16 +24 At a distance of 48 um at the same side of objeut- . Image is bormed