Chapter Questions
Using $\frac{1}{f}=\frac{1}{s_{o}}+\frac{1}{s_{i}}, s_{o}=3.50 \mathrm{cm},$ and $s_{i}=7.25 \mathrm{cm},$ find $f$.
Using $\frac{1}{f}=\frac{1}{s_{o}}+\frac{1}{s_{i}}, s_{o}=8.50 \mathrm{cm},$ and $f=25.0 \mathrm{cm},$ find $s_{i}$.
Using $M=\frac{h_{i}}{h_{o}}=\frac{-s_{i}}{s_{o}}, h_{o}=6.50 \mathrm{cm}, s_{i}=7.50 \mathrm{cm},$ and $s_{o}=14.0 \mathrm{cm},$ find $h_{i}$
If an object is $3.75 \mathrm{m}$ tall and $7.35 \mathrm{m}$ from a large mirror with an image formed $4.35 \mathrm{m}$ from the mirror, what is the height of the image?
An object $43.0 \mathrm{cm}$ tall is located $23.4 \mathrm{cm}$ from a concave mirror with focal length $21.4 \mathrm{cm}$(a) Where is the image located?(b) How high is the image?
An object and its image in a concave mirror are the same height, but inverted, when the object is $45.3 \mathrm{cm}$ from the mirror. What is the focal length of the mirror?
The angle of incidence of light passing from air to a liquid is $41.0^{\circ} .$ The angle of refraction is $29.0^{\circ} .$ Find the index of refraction of the liquid.
If the index of refraction of a liquid is $1.44,$ find the speed of light in that liquid.
If the critical angle of a liquid is $45.6^{\circ},$ find the index of refraction for that liquid.
If the index of refraction of a substance is $1.50,$ find its critical angle of incidence.
A converging lens has a focal length of $12.0 \mathrm{cm} .$ If it is placed $36.0 \mathrm{cm}$ from an $\mathrm{ob}$ ject, how far from the lens will the image be formed?
An object $4.50 \mathrm{cm}$ tall is placed $20.0 \mathrm{cm}$ from a converging lens. A real image is formed $12.0 \mathrm{cm}$ from the lens. (a) What is the focal length of the lens? (b) What is the size of the image?
The focal length of a lens is $4.00 \mathrm{cm} .$ How far from the lens must the object be to produce an image $7.20 \mathrm{cm}$ from the lens?
What is the focal length of a convex lens that produces an image three times as large as the object at a distance of $25.0 \mathrm{cm}$ from the lens?
What is the focal length of a mirror that forms an image $3.44 \mathrm{m}$ behind a convex mirror of an object $5.33 \mathrm{m}$ in front of the mirror?
What are the size and location of an image produced by a convex lens with a focal length of $21.0 \mathrm{cm}$ of an object $11.5 \mathrm{cm}$ from the lens and $3.25 \mathrm{cm}$ high?
What is the speed of light passing through a diamond? See Table 21.1 .
Find the critical angle of incidence for Lucite. See Table 21.1 .
Find the focal length of a concave mirror with an object $39.3 \mathrm{cm}$ in front of it that projects an image $17.8 \mathrm{cm}$ in front of the mirror.
(a) Find the height and location of an image produced by a concave mirror with focal length $8.70 \mathrm{cm}$ and an object that is $13.2 \mathrm{cm}$ tall and $19.3 \mathrm{cm}$ from the mirror.(b) Find the height of the image produced by the mirror if the object is twice as far from the mirror.