(b) Consider the nuclear decay 'Pu → 12 U +a. The half-life for this decay is 24,120 years. Assume that you have an initially pure sample of 1 kg of Pu. Recall that Avogadro's number is 6.022 x 1023. How many years does it take for this sample to reach a "safe" activity rate of 0.1 Bq?

Physics for Scientists and Engineers with Modern Physics
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Author:Raymond A. Serway, John W. Jewett
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Chapter43: Nuclear Physics
Section: Chapter Questions
Problem 59AP
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(e) How many microns across is the smallest detail a microscope can discern, if this microscope uses visible
light with a wavelength of 550 nm? The microscope has a circular aperture of diameter 5 mm, and the
object distance is 1 cm in front of the microscope's objective lens. Recall that 1 micron =
10-6 m.
Transcribed Image Text:(e) How many microns across is the smallest detail a microscope can discern, if this microscope uses visible light with a wavelength of 550 nm? The microscope has a circular aperture of diameter 5 mm, and the object distance is 1 cm in front of the microscope's objective lens. Recall that 1 micron = 10-6 m.
(b) Consider the nuclear decay 94 Pu → 2U +a. The half-life for this decay is 24,120 years. Assume that
you have an initially pure sample of 1 kg of °Pu. Recall that Avogadro's number is 6.022 x 1023. How
many years does it take for this sample to reach a "safe" activity rate of 0.1 Bq?
(c) A radar installation operates at a wavelength of 10.0 GHz, with a dish antenna that is 10 meters in
diameter. What is the maximum distance (in kilometers) for which this system can distinguish two aircraft
50 meters apart?
Transcribed Image Text:(b) Consider the nuclear decay 94 Pu → 2U +a. The half-life for this decay is 24,120 years. Assume that you have an initially pure sample of 1 kg of °Pu. Recall that Avogadro's number is 6.022 x 1023. How many years does it take for this sample to reach a "safe" activity rate of 0.1 Bq? (c) A radar installation operates at a wavelength of 10.0 GHz, with a dish antenna that is 10 meters in diameter. What is the maximum distance (in kilometers) for which this system can distinguish two aircraft 50 meters apart?
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