Modified MasteringAstronomy with Pearson eText -- ValuePack Access Card -- for Life in the Universe
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Chapter 4, Problem 8RQ
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The age of Earth and method to determine it.

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Use the following information to answer the next question. Two mirrors meet an angle, a, of 105°. A ray of light is incident upon mirror A at an angle, i, of 42°. The ray of light reflects off mirror B and then enters water, as shown below: Incident ray at A Note: This diagram is not to scale. a Air (n = 1.00) Water (n = 1.34) 1) Determine the angle of refraction of the ray of light in the water. B
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6. Bending a lens in OpticStudio or OSLO. In either package, create a BK7 singlet lens of 10 mm semi-diameter and with 10 mm thickness. Set the wavelength to the (default) 0.55 microns and a single on-axis field point at infinite object distance. Set the image distance to 200 mm. Make the first surface the stop insure that the lens is fully filled (that is, that the entrance beam has a radius of 10 mm). Use the lens-maker's equation to calculate initial glass curvatures assuming you want a symmetric, bi-convex lens with an effective focal length of 200 mm. Get this working and examine the RMS spot size using the "Text" tab of the Spot Diagram analysis tab (OpticStudio) or the Spd command of the text widnow (OSLO). You should find the lens is far from diffraction limited, with a spot size of more than 100 microns. Now let's optimize this lens. In OpticStudio, create a default merit function optimizing on spot size.Then insert one extra line at the top of the merit function. Assign the…

Chapter 4 Solutions

Modified MasteringAstronomy with Pearson eText -- ValuePack Access Card -- for Life in the Universe

Ch. 4 - Briefly describe Earths core-mantle-crust...Ch. 4 - Briefly describe the conveyorlike action of plate...Ch. 4 - Describe how plate tectonics shapes important...Ch. 4 - What evidence do we have for the operation of...Ch. 4 - What are the three requirements for a planetary...Ch. 4 - Briefly describe the mechanism by which the...Ch. 4 - What has happened to most of the carbon dioxide...Ch. 4 - What are ice ages, and what may cause them? What...Ch. 4 - Briefly summarize the key ways in which geology is...Ch. 4 - How do we think the Moon formed, and what evidence...Ch. 4 - We can expect that if there are paleontologists a...Ch. 4 - Nearly all the rocks I found in the lava fields of...Ch. 4 - Prob. 23TYUCh. 4 - Although Earth contains its densest material in...Ch. 4 - If you had a time machine that dropped you off on...Ch. 4 - If there were no plate tectonics on Earth, our...Ch. 4 - Without the greenhouse effect, there probably...Ch. 4 - If nitrogen were a greenhouse gas, our planet...Ch. 4 - We can learn a lot about Earths early history by...Ch. 4 - Prob. 30TYUCh. 4 - A rocks type (igneous, metamorphic, or...Ch. 4 - To learn a rocks age, we must (a) determine its...Ch. 4 - Radiometric dating now allows us to determine...Ch. 4 - Earths oceans formed (a) during the late stages of...Ch. 4 - We learn about the heavy bombardment by studying...Ch. 4 - Earth has retained a lot of internal heat...Ch. 4 - Plate tectonics is best described as a process...Ch. 4 - Earth has far less atmospheric carbon dioxide than...Ch. 4 - If Earth had more greenhouse gases in its...Ch. 4 - Snowball Earth refers to (a) one of a series of...Ch. 4 - The Age of Earth. Some people still question...Ch. 4 - Dating Planetary Surfaces. We have discussed two...Ch. 4 - Earth Without Differentiation. Suppose Earth had...Ch. 4 - Earth Without Plate Tectonics. Suppose plate...Ch. 4 - Feedback Processes in the Atmosphere. As the Sun...Ch. 4 - Geological Time. Geological time scales are often...Ch. 4 - Dating Lunar Rocks. You are analyzing Moon rocks...Ch. 4 - Carbon-14 Dating. The half-life of carbon-14 is...Ch. 4 - Martian Meteorite. Some unusual meteorites thought...Ch. 4 - Internal vs. External Heating. In daylight, Earths...Ch. 4 - Plate Tectonics. Typical motions of one plate...Ch. 4 - More Plate Tectonics. Consider a seafloor...Ch. 4 - Plate Tectonics and Us. Based on what you learned...
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