A 4.3 cm long insect is perpendicular to the optical axis of a thin lens; the bu

Question

A 4.3 cm long insect is perpendicular to the optical axis of a thin lens; the bug is 5.8 cm away from the lens. The lens forms an inverted image of the insect which is 0.9 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

(a)

from the given

object height = 4.3 cm

image height = 0.9 cm

magnification

m = (v / u) = (image diatsnce / object distance)

= (0.9 / 4.3)

image distance

v = 1.21cm

(b)

to get the focal length use

(1 / f) = (1 / v) - (1 / u)

(c)

u = 0.27 cm

using f solve for the image distance v

(d)

yes the new image can be caught on the screen but it becomed blurr because the object is very nearer to the lens

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