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You've entered the Great Space Race. Your engines are hearty enough to keep you in second place. While racing, the person in front of you
You've entered the Great Space Race. Your engines are hearty enough to keep you in second place. While racing, the person in front of you begins to have engine troubles and turns on his emergency lights that emit at a frequency of 5.750 x 1014 Hz. If the person in front of you is traveling 2635 km/s faster than you when he turns on his lights, what is the frequency of the emergency lights that you observe when it reaches you in your spaceship? (Enter your answer to four significant figures.) 4.0 4 X What relationship describes the frequency of a wave for an observer that is moving relative to the source? HzA green laser pointer has a power output of 115 mW. (a) If the laser beam is projected onto a circular spot 3.05 mm in diameter, what is its intensity? w/m2 (b) Find the peak electric field strength. V/m (c) Find the peak magnetic field strength.For an independent study project, you design an experiment to measure the speed of light. You propose to bounce laser light off a mirror that is 52.0 km due east and have it detected by a light sensor that is 139 m due south of the laser. The first problem is to orient the mirror so that the laser light reflects off the mirror and into the light sensor. (a) Determine the angle that the normal to the mirror should make with respect to due west. 2 X Have you drawn a figure showing all angles and distances? How is the angle of incidence and reflection related to the angle between the incident and reflected beam? How is the angle between the incident and reflected beam related to the distance between the laser and the mirror, and between the laser and the light sensor? (b) Since you can read your protractor only so accurately, the mirror is slightly misaligned and the actual angle between the normal to the mirror and due west exceeds the desired amount by 0.0050. Determine how far south you need to move the light sensor in order to detect the reflected laser light. 2 How does the misalignment error impact the angle between the incident and reflected beam and, hence, the distance between the laser and the location of the reflected beam due south of the laser? mAn ion that is doubly ionized passes through the velocity selector and into the deflection chamber of a mass spectrometer, as shown below. In the velocity selector the electric field has a magnitude of 7237 V/m, and the magnitude of the magnetic field in both the velocity selector and the deflection chamber is 0.0872 T. If in the deflection chamber the ion is detected at a distance of 55.1 cm from its entry point, determine the following. B O . MLA v + O + + (@) mass-to-charge ratio of the ion 8 X If a charged particle travels straight through a velocity selector, how is the force acting on the particle by the electric field related to the force acting on the particle by the magnetic field? How is the speed of the moving charged particle related to the magnitude of the electric and magnetic field? What type of trajectory does a particle move in when it experiences a force perpendicular to its motion? What provides the centripetal force for the ion as it travels in the deflection chamber? kg/C (b) mass of the ion 9 X Check values and arithmetic. kg (c) identity of the ion, assuming it's an element (Use only the masses of elements in their most common form as listed on the periodic table of elements.) 10 X knowing the mass of an ion in atomic mass units, how can you determine the identity of the element?For an independent study project, you design an experiment to measure the speed of light. You propose to bounce laser light off a mirror that is 52.0 km due east and have it detected by a light sensor that is 139 m due south of the laser. The first problem is to orient the mirror so that the laser light reflects off the mirror and into the light sensor. (a) Determine the angle that the normal to the mirror should make with respect to due west. 0.00133 X Have you drawn a figure showing all angles and distances? How is the angle of incidence and reflection related to the angle between the incident and reflected beam? How is the angle between the incident and reflected beam related to the distance between the laser and the mirror, and between the laser and the light sensor? (b) Since you can read your protractor only so accurately, the mirror is slightly misaligned and the actual angle between the normal to the mirror and due west exceeds the desired amount by 0.0050. Determine how far south you need to move the light sensor in order to detect the reflected laser light. 2 X How does the misalignment error impact the angle between the incident and reflected beam and, hence, the distance between the laser and the location of the reflected beam due south of the laser? mThe index of refraction for red and orange light in polystyrene are respectively 1.488 and 1.49. The index of refraction for red and orange light in crown glass are respectively 1.512 and 1.514. Based on this information, answer the following. (a) What is the percent difference between the speed of red light and orange light in polystyrene? 4 X Do all colors of light go through a material at the same speed? How can you determine the speed of a particular color of light through a material? What is the definition of percent difference?% (b) What is this percent difference in crown glass? 14 X Do all colors of light go through a material at the same speed? How can you determine the speed of a particular color of light through a material? What is the definition of percent difference?% (c) Which material is more dispersive? O polystyrene O crown glass
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