Question
Asked Dec 26, 2019
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A “floating strawberry” illusion can be produced by two parabolic
mirrors, each with a focal length of 7.5 cm, facing each
other so that their centers are 7.5 cm apart (Fig. P23.58). If

a strawberry is placed on the bottom mirror, an image of the
strawberry forms at the small opening at the center of the
top mirror. Show that the final image forms at that location
and describe its characteristics. Note: A flashlight beam shone
on these images has a very startling effect: Even at a glancing
angle, the incoming light beam is seemingly reflected off the
images of the strawberry! Do you understand why?

Image of
opening strawberry
Small
Strawberry
Figure P23.58
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Image of opening strawberry Small Strawberry Figure P23.58

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Given info: The focal length of the mirror is 7.50 cm. The strawberry is placed at the focal point of the upper mirror. If the object is placed at the focal point of the mirror than the image formed b the mirror is formed at infinity. The mirror equation for the upper mirror is, Here, pis the object distance from the upper mirror. qn is the image distance from the upper mirror. f is the focal length of the upper mirror. Substitute 7.50 cm for f and 7.50 cm for p in above equation. %3D 7.50 cm 7.50 cm The lower mirror will focus the parallel rays coming from the upper layer at its focal point which is located at the hole in the upper mirror.

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The mirror equation for the lower mirror is, Here, q2 is the image distance from the lower mirror. The image formed at infinity for the lower mirror and behind the mirror. Substitute o for p and 7.50 cm for f in above equation. 7.50 cm 42 92 = 7.50 cm Thus, the image is formed at the opening of the upper mirror. Write the expression to calculate the magnification due to combination of mirrors. M = mim2 = #)(G P1 P2 Substitute oo for q1, 00 for p2, 7.50 cm for pi and 7.50 cm for q2 in above equation.

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-7.50 cm M= ( 7.50 cm = -1 Thus, the image is formed at the opening of the upper mirror and image is real, inverted and of actual size. Conclusion: Therefore, the image is formed at the opening of the upper mirror and image is real, inverted and of actual size.

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