PHY 1001

Unit Eight – Optics

Mathematical Assignment

1. A Global Positioning System (GPS) receiver is a device that lets you figure out where you are by receiving timed radio signals from satellites. It works by measuring the travel time for the signals, which is related to the distance between you and the satellite. By finding the ranges to several different satellites in this way, it can pin down your location in three dimensions to within a few meters. In units of nanoseconds, how accurate does the measurement of the time delay have to be to determine your position to within an accuracy of 30 m? 

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Solution

Sanity Check

2. Atomic transitions of electrons between different states in an atom can produce photos with frequencies of 3 * 10^16 Hz.  What is the corresponding wavelength of this photon? Give your answer in nanometers

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Sanity Check

3. Calculate the voltage (in volts) needed to cause a current of 0.002 A to flow through a 10,000 ohm resistor. 

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Sanity Check

4. A man is walking at 1.0 m/s directly towards a mirror. At what speed is his separation from his image decreasing?  

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Sanity Check

5. A light beam reflects off the surface of a still lake.  The light ray is orientated at 30 degrees with respect to the surface of the water.  What is the angle between the incident ray and the reflected ray?  

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Sanity Check

6. For a converging lens the object is 12 cm from the lens and the image is 12 cm from the lens on the opposite side.  What the magnification of the image?  

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Sanity Check

7. For a converging lens with a focal length of 12 cm viewing an object at a distance of 6 cm. Where is the image located?  

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Sanity Check

8. For a converging lens with a focal length of 12 cm viewing an object at a distance of 6 cm. What the magnification of the image?

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Sanity Check

9. An object is placed 60 cm in front of a concave mirror with focal length of 12 cm.  Where is the image located?

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Sanity Check

10. A 8 cm high object is placed 60 cm in front of a concave mirror with focal length of 12 cm.  How tall is the image? 

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Sanity Check