Using ray tracing, find the final image created by both lenses. CIRCLE THE FINAL

Question

Using ray tracing, find the final image created by both lenses. CIRCLE THE FINAL IMAGE. Assume that each square represents 1 cm. From your drawing, find the following values, taking note of the correct sign convention: Assume that each square represents 1 cm. From your drawing, find the following values, taking note of the correct sign convention: Object distance (5) = cm Image distance (s') = cm Focal length (f) = cm Magnification = Object distance (5) = cm Image distance (s') = cm Focal length (f) = cm Magnification = From the drawing, what is the total magnification? Assume that each square represents 1 cm. From your drawing, find the following values, taking note of the correct sign convention: Object distance (5) = cm Image distance (s') = cm Focal length (f) = cm Magnification = Object distance (5) = cm Image distance (s') = cm Focal length (f) = cm Magnification = From the drawing, what is the total magnification?

Explanation / Answer

Have a close look into the figure. Its given that each square equals one cm. so

The parameters required for lens (1) are as follows:

Object distance = s = 6 cm

Focal lenth = f = 4 cm

image dist = s' = 12 cm (calculated using s' = s x f / s - f )

(you simply need to draw the ray diagram you have the focal lengths marked and you can either count the boxes for calculate using formula)

M = -s'/s = 12/6 = -2 (negative sign indicates inverted image and its magnified too)

For lens (2)

upon counting the boxes u will obtain

focal length f = 6 cm

the image of first lens is going to be object for second. so

s = D - s' of first

On counting D = 24 cm

s = 24 - 12 cm = 12 cm

s' of second = 6 x 12 / 6 - 12 = -12 cm (behind second lens)

M = -s'/s = -(-12)/12 = 1

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