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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 hydrogen discharge lamp emits light with two prominent wavelengths: $656 n m$ (red) and $486 n m$ (blue). The light enters

a flint-glass prism perpendicular to one face and then refracts

through the hypotenuse back into the air. The angle between

these two faces is $35 掳$ .

a. Use Figure $35.18$ to estimate to $卤 0.002$ the index of refraction

of flint glass at these two wavelengths.

b. What is the angle (in degrees) between the red and blue light

as it leaves the prism?

The rays leaving the two-component optical system of FIGUREP $35.27$ produce two distinct images of the $1.0 c m$ -tall object. what are the position (relative to the lens), orientation, and height of each image?

Two converging lenses with focal lengths of 40 cm and 20 cm are 10 cm apart. A 2.0-cm-tall object is 15 cm in front of the 40-cm-focal-length 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.

A converging lens with a focal length of $40 c m$ and a diverging lens with a focal length of $- 40 c m$ are $160 c m$ apart. A $2 c m$ tall object is $60 c m$ in front of the converging 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.

A reflecting telescope is built with a $20 c m$ -diameter mirror having an $1.00$ m focal length. It is used with an $10 脳$ eyepiece.

What are:

(a) the magnification?

(b) the $f 鈥� n u m b e r$ of the telescope?

See all solutions

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