(6) (a) A certain metal has a work function of 1.50 eV. What is the maximum kinetic energy (in eV) of the ejected electrons when light with a wavelength of 425 nm shines on this metal? (b) Consider the nuclear decay Pu → 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? (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? (d) During the Apollo 11 mission, Buzz Aldrin set up a laser reflector on the Moon. Astronomers still bounce laser signals off of it: precise timing of the laser signals can measure the distance to the Moon within a few centimeters. Suppose a red laser on Earth emits a beam with a wavelength of 632.8 nm. This beam illuminates a spot on the Moon. The laser shines through a telescope on Earth that has a circular aperture with a diameter of 76.2 cm. What is the diameter of the spot the beam makes on the Moon? The Moon is 384,400 km from Earth. Ignore the effects of Earth's atmosphere. (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 em in front of the microscope's objective lens. Recall that 1 micron = 10-6 m.

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#6 parts c-e

(6) (a) A certain metal has a work function of 1.50 eV. What is the maximum kinetic energy (in eV) of the
ejected electrons when light with a wavelength of 425 nm shines on this metal?
(b) Consider the nuclear decay Pu - 5U +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?
(d) During the Apollo 11 mission, Buzz Aldrin set up a laser reflector on the Moon. Astronomers still
bounce laser signals off of it: precise timing of the laser signals can measure the distance to the Moon
within a few centimeters. Suppose a red laser on Earth emits a beam with a wavelength of 632.8 nm. This
beam illuminates a spot on the Moon. The laser shines through a telescope on Earth that has a circular
aperture with a diameter of 76.2 cm. What is the diameter of the spot the beam makes on the Moon? The
Moon is 384,400 km from Earth. Ignore the effects of Earth's atmosphere.
(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:(6) (a) A certain metal has a work function of 1.50 eV. What is the maximum kinetic energy (in eV) of the ejected electrons when light with a wavelength of 425 nm shines on this metal? (b) Consider the nuclear decay Pu - 5U +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? (d) During the Apollo 11 mission, Buzz Aldrin set up a laser reflector on the Moon. Astronomers still bounce laser signals off of it: precise timing of the laser signals can measure the distance to the Moon within a few centimeters. Suppose a red laser on Earth emits a beam with a wavelength of 632.8 nm. This beam illuminates a spot on the Moon. The laser shines through a telescope on Earth that has a circular aperture with a diameter of 76.2 cm. What is the diameter of the spot the beam makes on the Moon? The Moon is 384,400 km from Earth. Ignore the effects of Earth's atmosphere. (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.
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