A 4.7 cm long insect is perpendicular to the optical axis of a thin lens; the bu

Question

A 4.7 cm long insect is perpendicular to the optical axis of a thin lens; the bug is 5.9 cm away from the lens. The lens forms an inverted image of the insect which is 1.3 cm long on a screen behind the lens. (Use three significant figures.)
a. How far behind the lens is the screen?
___ cm
b. What is the lens' focal length (pay attention to sign)?
___ cm
c. If the insect were instead only 0.27 cm from the lens, what would the image distance be (pay attention to sign)?
___ cm
d. Could the new image be projected on a screen?

yes

no  

  possibly

Explanation / Answer

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A 4.3 cm long insect is perpendicular to the optical axis of a thin lens; the bug is 6.1 cm away from the lens. The lens forms an inverted image of the insect which is 0.5 cm long on a screen behind the lens. a. How far behind the lens is the screen? cm b. What is the lens' focal length (pay attention to sign)? cm c. If the insect were instead only 0.29 cm from the lens, what would the image distance be (pay attention to sign)? cm d. Could the new image be projected on a screen? yes no possibly

Answer

Part A) Start with the magnification M = -q/p = -h'/h -q/6.1 = -.5/4.3 q = .709 cm Part B) Apply 1/f = 1/q + 1/p 1/f = 1/.709+ 1/6.1 f =.635 cm Part C) 1/.635 = 1/.29 + 1/q q = -.534 cm Part D) This image could not be projected on a screen since it is virtual. The negative sign indicates the virtual image.   

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