A Two-Lens System A compound lens system consists of two converging lenses, one

Question

A Two-Lens System A compound lens system consists of two converging lenses, one at (x-20.01, Irm cml) with focal length V(f_1= +10.0, rm cml), and the other at l(xz +20.01, Vrm cmi) with focal length (1,2 = +8.001, rm cm). An object V(1.00) centimeter tall is placed at 1(x=-50.01, lrm cml). Part A What is the location of the final image produced by the compound lens system? Give the x coordinate of the image. Express your answer in centimeters, to three significant figures or as a fraction Hints m cm CtexttipX) Submit Incorrect: Try Again; 4 attempts remaining My Answers Give Up

Explanation / Answer

for lens 1:

f1 = 10 cm

p1 = -20 + 50 = 30 cm

Applying 1/f = 1/p + 1/q

1/10 = 1/30 + 1/q1

q1 = 15 cm right to the left lens.

now this image will work as object for second lens.

p2 = 40 - 15 = 25 cm

f2 = 8 cm

1/8 = 1/25 + 1/q2

q2 = 11.8 cm right to the right lens

this is the final image.

xf = 20 + 11.8 = 31.8 cm .......Ans

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