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Chapter 35: Q. 7 (page 1017)

What is the $f - n u m b e r$ of a lens with a $35 m m$ focal length and a $7.0 m m$ diameter aperture?

Short Answer

Expert verified

The value of $f_{n u m b e r}$ is $5.0 m m$ .

Step by step solution

01

Given information

We have given,

Focal length = $35 m m$

Diameter of aperture = $7 m m$

we have to find the $f_{n u m b e r}$ of the lens.

02

Simplify

The $f_{n u m b e r}$ is defined as the ratio between the focal length role="math" localid="1649843050408" $35 m m$ and the diameter of the aperture is role="math" localid="1649843057651" $7 m m$ .

$f_{n u m b e r} = \frac{f}{D}$

role="math" localid="1649843089488" $f_{n u m b e r} = \frac{35 m m}{7 m m}$

$f_{n u m b e r} = 5 m m$

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Most popular questions from this chapter

A camera takes a properly exposed photo with a $3 mm$ diameter aperture and a shutter speed of $1 / 125 s .$ . What is the appropriate aperture diameter for a $1 / 1500 s$ shutter speed?

A $2.0 m$ tall man is $10 m$ in front of a camera with a $15 mm$ focal length lens. How tall is his image on the detector?

Your task in physics laboratory is to make a microscope from two lenses. one lens has a focal length of $2.0 c m,$ the other objective, and you want the eyepiece to be $16 c m$ from the objective.

(a). For viewing with a relaxed eye, how far should the sample be from the objective lens?

(b). What is the magnification of your microscope?

A common optical instrument in a laser laboratory is a beam expander. One type of beam expander is shown in FIGURE P $35.29$ . The parallel rays of a laser beam of width w1 enter from the left.

a. For what lens spacing d does a parallel laser beam exit from the right?

b. What is the width w2 of the exiting laser beam?

A beam of white light enters a transparent material. Wavelengths for which the index of refraction is n are refracted at angle $θ_{2}$ .

Wavelengths for which the index of refraction is n + $δ n$ , where $δ n < < n$ , are refracted at angle $θ_{2} + δ θ$ .

a). Show that the angular separation of the two wavelengths, in radians, is $δ θ = - (δ n / n) \tan θ_{2}$ .

b). A beam of white light is incident on a piece of glass at 30.0°. Deep violet light is refracted 0.28° more than deep red light. The index of refraction for deep red light is known to be 1.552. What is the index of refraction for deep violet light?

See all solutions

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