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What is the aperture diameter of a 12mmfocal-length lens set to f/4.0?

Short Answer

Expert verified

The Diameter of the aperture is3mm.

Step by step solution

01

Given information

We have given,

f-number = 4

Focal length = 12mm

we have to find the diameter of the aperture.

02

Simplify

We know that the f-number is defined the ratio between the focal length and diameter.

f-number=fDD=ff-number=12mm4D=3mm

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Most popular questions from this chapter

what is the f-numberof a relaxed eye with the pupil fully dilated to localid="1648735653936" 8.0mm? model the eye as a single lens localid="1648735646217" 2.4cmin front of the retina.

The lens shown in FIGURE CP35.49 is called an achromatic doublet, meaning that it has no chromatic aberration. The left side is flat, and all other surfaces have radii of curvature R.

a. For parallel light rays coming from the left, show that the effective focal length of this two-lens system is f=R/12n2-n1-12, where localid="1648757054673" n1and n2are, respectively, the indices of refraction of the diverging and the converging lenses. Don’t forget to make the thin-lens approximation.

b. Because of dispersion, either lens alone would focus red rays and blue rays at different points. Define n1 and n2 as nblue-nred for the two lenses. What value of the ratio n1/n2makes fblue=fredfor the two-lens system? That is, the two-lens system does not exhibit chromatic aberration.

c. Indices of refraction for two types of glass are given in the table. To make an achromatic doublet, which glass should you use for the converging lens and which for the diverging lens? Explain

nblue nred

Crown glass 1.525 1.517

Flint glass 1.632 1.616

d. What value of R gives a focal length of 10.0cm?

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A 2.0cm-tall object is 20cmto the left of a lens with a focal length of10cm. A second lens with a focal length of5cmis 30cmto the right of the first lens.

a. Use ray tracing to find the position and height of the image. Do this accurately using a ruler or paper with a grid, then make measurements on your diagram.

b. Calculate the image position and height. Compare with your ray-tracing answers in part a.

Infrared telescope, which use special infrared dictators, are able to do peer farther into star-forming regions of the galaxy because infrared light is not scattered as strongly as is visible light by the tenuous clouds of hydrogen gas from which new stars are created. for what wavelength of light is the scattering only 1%that of light with visible wavelength of 500nm?

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