Question 1). A lens combination consists of two thin, symmetric, biconvex lenses separated by a distance d = 5.00cm. Lens 1 on the left has a focal length of fi = 20.0cm, lens 2 on the right has a focal length of 10.0cm. Step 1- Find the ABCD matrix for this optical system. Calculate the effective focal lens of this lens system. Step 2- Using the ABCD matrix from Step 1 calculate the new matrix: [A B] C' D' S A B 1 s which corresponds to a ray starting out to the left of the lens system at a horizontal distance 51 from lens 1 and then, after moving through the system, continuing for a horizontal distance of s2 to the right of the system. Step 3- Determine the location of the front and back focal planes. (Solve which of the A'B'C'D' matrix elements you must set equal to zero.) Step 4- Determine the image location 52, size, and orientation when a 3.00cm-high object is located at s₁ = 8cm. (Hint: To find 52 you must impose the imaging condition on the A'B'C'D' matrix, i.e. B'=0. Then you can find the magnification from the correct matrix element.)

Question 1). A lens combination consists of two thin, symmetric, biconvex lenses separated by a distance d = 5.00cm. Lens 1 on the left has a focal length of fi = 20.0cm, lens 2 on the right has a focal length of 10.0cm. Step 1- Find the ABCD matrix for this optical system. Calculate the effective focal lens of this lens system. Step 2- Using the ABCD matrix from Step 1 calculate the new matrix: [A B] C' D' S A B 1 s which corresponds to a ray starting out to the left of the lens system at a horizontal distance 51 from lens 1 and then, after moving through the system, continuing for a horizontal distance of s2 to the right of the system. Step 3- Determine the location of the front and back focal planes. (Solve which of the A'B'C'D' matrix elements you must set equal to zero.) Step 4- Determine the image location 52, size, and orientation when a 3.00cm-high object is located at s₁ = 8cm. (Hint: To find 52 you must impose the imaging condition on the A'B'C'D' matrix, i.e. B'=0. Then you can find the magnification from the correct matrix element.)