A camera takes a properly exposed photo at f /5.6 and 1/125 s. What shutter speed should be used if the lens is changed to f/4.0?

A camera lens usually consists of a combination of two or more lenses to produce a good-quality image. Suppose a camera lens has two lenses-a diverging lens of focal length $10.0 \mathrm{~cm}$ and a converging lens of focal length $5.00 \mathrm{~cm}$. The two lenses are held $7.00 \mathrm{~cm}$ apart. A flower of length $10.0 \mathrm{~cm}$, to be pictured, is held upright at a distance $50.0 \mathrm{~cm}$ in front of the diverging lens; the converging lens is placed behind the diverging lens. What are the location, orientation, size, and the magnification of the final image?

You’ve be en asked to build a telescope from a $2.0 \times$ magnifying lens and a $5.0 \times$ lens. a. What is the maximum magnification you can achieve? b. Which lens should b e used as the objective? Explain. c. What will be the length of your telescope?

Apply the graphing strategy and summarize the pertinent information. Round any approximate values to two decimal places. $f(x)=0.25 x^{4}-5 x^{3}+31 x^{2}-70 x$

Find all partition numbers of the function. $f(x)=\frac{2 x+7}{5 x-1}$

A magnifier has a magnification of $5 \times$. How far from the lens should a n object be held so that its image is seen at the near-point distance of 25 cm? Assume that your eye is immediately behind the lens.

Find a function y=f(x) that satisfies both conditions: $\frac{d y}{d x}=3 x^{-1}-x^{-2} \quad f(1)=5$

A $2.05 \mathrm{~cm}$ tall object is placed $30.0 \mathrm{~cm}$ to the left of a converging lens with a focal length $f_1=20.5 \mathrm{~cm}$. A diverging lens, with a focal length $f_2=-42.5 \mathrm{~cm}$, is placed $30.0 \mathrm{~cm}$ to the right of the first lens. How tall is the final image of the object?

At what pressure will the mean free path in room-temperature $\left(20^{\circ} \mathrm{C}\right)$ nitrogen be 1.0 m?

A microscope has a tube length of 20 cm. What combination of objective and eyepiece focal lengths will give an overall magnification of 100? A. 1.5 cm, 3 cm B. 2 cm, 2 cm C. 1 cm, 5 cm D. 3 cm, 8 cm

A 12-mm-focal-length lens has a 4.0-mm-diameter aperture. What is the aperture diameter of an 18-mm-focal-length lens with the same $f$-number?

Calculate the position and height. A 3.0-cm-tall object is 15 cm in front of a convex mirror that has a -25 cm focal length.

A concave mirror brings the sun's rays to a focus at a distance of 30 cm from the mirror. If the mirror were submerged in a swimming pool, would the sun's rays be focused nearer to, farther from, or at the same distance from the mirror?

Two converging lenses, each of focal length 15.0 cm, are placed 40.0 cm apart, and an object is placed 30.0 cm in front of the first lens. Where is the final image formed, and what is the magnification of the system?