See the attached file.
1. A converging lens with a focal length of 3.1 cm is used to image an object which is 3.4 cm away from the lens. How far from the lens is the image?
2. A light beam (initially in air) strikes a substance with an index of refraction of 1.4 at an incident angle of 18.0 degrees. What is the refracted angle in this substance?
4. An object has a height of 2.4 cm and a width of 14.9 cm. A 33.80 cm height of the shadow is cast by a point source onto a nearby wall 694.78 cm from the object. How far away from the object is the point source of light casting the shadow?
5. Light travels at 3 X 108 m/s in a vacuum. How fast does light travel in a piece of glass that has an index of refraction n = 1.1595 ?
6. Light from a tiny light bulb shining through a mask illuminates 40.7 cm2 of a screen placed 10.6 cm from the bulb. Predict the screen area that would be illuminated at a distance of 155.4 cm from the bulb.
7. An object with a height of 3.5 cm is 21.7 cm from a pinhole. On the other side of the pinhole at a distance of 306.0 cm is the reproduction cast on a screen. What is the height of this reproduction?
9. A rock is thrown from just above the ground vertically into the air and reaches a height of 26.6 m. What is its speed just before it returns to the ground?
10. A boy throws a steel ball straight up. Consider the motion of the ball only after it has left the boy's hand but before it touches the ground, and assume that the forces exerted by the air are negligible. For these conditions, the force(s) acting on the ball is (are):
b. an almost constant downward force of gravity only.
c. a steadily decreasing upward force from the moment it leaves the boy's hand until it reaches its highest point; on the way down there is a steadily increasing downward force of gravity as the object gets closer to the earth.
d. none of the above. The ball falls back to the ground because of its natural tendency to rest on the surface of the earth.
e. an almost constant downward force of gravity along with an upward force that steadily decreases until the ball reaches its highest point; on the way down there is only a constant downward force of gravity
The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.
Using the thin lens equation
Where f is the focal length, is the distance of the object from the lens and is the distance of the image from the lens.
In our case
Snell's law states that:
Where are the refractive indices of the media. is the incident angle and is the refraction angle.
In our case:
Intensity is defined as the energy per unit area per unit time.
The rate of energy per unit time from the sun is constant power
Therefore, on a spherical shell of radius R (and therefore the surface area is ) the ...
The converging lens with focal lengths are examined in the solution.