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An object is placed 15.8 cm from a first converging lens of focal length 10.6 cm

ID: 1519210 • Letter: A

Question

An object is placed 15.8 cm from a first converging lens of focal length 10.6 cm. A second converging lens with focal length 23 cm is placed 10 cm to the right of the first converging lens. (Take the direction to the right to be positive.)

(a) Find the position q1 of the image formed by the first converging lens. cm

(b) How far from the second lens is the image of the first lens? cm

(c) What is the value of p2, the object position for the second lens? cm

(d) Find the position q2 of the image formed by the second lens.

(e) Calculate the magnification of the first lens. M1 =

(f) Calculate the magnification of the second lens. M2 =

(g) What is the total magnification for the system? Mtotal =

Explanation / Answer

a) u = -15.8 cm
f = 10.6 cm
1/v - 1/u = 1/f
v = 32.207 cm
b) u = 22.207 cm
c) u = 22.207 cm
d) v = 644.067 cm
e) M1 = v/u = 2.0384
f) M2 = 29.00288
g) M = 59.1194

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