A Two-Lens System 1 of 5 A compound lens system consists of two converging lense

Question

A Two-Lens System 1 of 5 A compound lens system consists of two converging lenses, one at r20.0 cm with focal length f1 +10.0 cm, and the other at z = t 20.0 cm with focal length f2 +8.00 cm. (Figure 1)An object 1.00 centimeter tall is placed at z =-50.0 cm. 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. Figure 1 of 1 View Available Hint(s) ein f2 Submit Previous Answers X Incorrect: Try Again; 5 attempts remaining

Explanation / Answer

for first lens:

f1 = 10 cm

object distance, p1 = -20 + 50 = 30 cm

1/f1 = 1/p1 + 1/q1

1/10 = 1/30 + 1/q1

q1 = 15 cm

Now for second lens:

f2 = 8 cm

p2 = 40 - 15 = 25 cm

1/f2 = 1/p2 + 1/q2

1/8 = 1/25 + 1/q2

q2 = 11.8 cm

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

(D) if we want same effect from a single lens at origin,

then p = 50 cm

q = 31.8 cm

1/f = 1/p + 1/q

1/f = 1/50 + 1/31.8

f = 19.4 cm

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