BIO Determining Diet . One method for determining the amount of corn in early Native American diets is the stable isotope ratio analysis (SIRA) technique. As corn photosynilicsizcs, it concentrates the isotope carbon-13, whereas most other plants concentrate carbon-12. Overreliance on corn consumption can then be correlated with certain diseases, because corn lacks the essential amino acid lysine. Archaeologists use a mass spectrometer to separate the 12 C and 13 C isotopes in samples of human remains. Suppose you use a velocity selector to obtain singly ionized (missing one electron) atoms of speed 8.50 km/s, and you want to bend them within a uniform magnetic field in a semicircle of diameter 25.0 cm for the 12 C. The measured masses of these isotopes are 1.99 × 10 −26 kg( 12 C) and 2.16 × 10 −26 kg( 13 C). (a) What strength of magnetic field is required? (b) What is the diameter of the 13 C semicircle? (c) What is the separation of the 12 C and 13 C ions at the detector at the end of the semicircle? Is this distance large enough to be easily observed?
BIO Determining Diet . One method for determining the amount of corn in early Native American diets is the stable isotope ratio analysis (SIRA) technique. As corn photosynilicsizcs, it concentrates the isotope carbon-13, whereas most other plants concentrate carbon-12. Overreliance on corn consumption can then be correlated with certain diseases, because corn lacks the essential amino acid lysine. Archaeologists use a mass spectrometer to separate the 12 C and 13 C isotopes in samples of human remains. Suppose you use a velocity selector to obtain singly ionized (missing one electron) atoms of speed 8.50 km/s, and you want to bend them within a uniform magnetic field in a semicircle of diameter 25.0 cm for the 12 C. The measured masses of these isotopes are 1.99 × 10 −26 kg( 12 C) and 2.16 × 10 −26 kg( 13 C). (a) What strength of magnetic field is required? (b) What is the diameter of the 13 C semicircle? (c) What is the separation of the 12 C and 13 C ions at the detector at the end of the semicircle? Is this distance large enough to be easily observed?
BIO Determining Diet. One method for determining the amount of corn in early Native American diets is the stable isotope ratio analysis (SIRA) technique. As corn photosynilicsizcs, it concentrates the isotope carbon-13, whereas most other plants concentrate carbon-12. Overreliance on corn consumption can then be correlated with certain diseases, because corn lacks the essential amino acid lysine. Archaeologists use a mass spectrometer to separate the 12C and 13C isotopes in samples of human remains. Suppose you use a velocity selector to obtain singly ionized (missing one electron) atoms of speed 8.50 km/s, and you want to bend them within a uniform magnetic field in a semicircle of diameter 25.0 cm for the 12C. The measured masses of these isotopes are 1.99 × 10−26kg(12C) and 2.16 × 10−26kg(13C). (a) What strength of magnetic field is required? (b) What is the diameter of the 13C semicircle? (c) What is the separation of the 12C and 13C ions at the detector at the end of the semicircle? Is this distance large enough to be easily observed?
Ancient Meat Eating. The amount of meat in prehistoric diets can be determined by measuring the ratio of the isotopes 15N to 14N in bone from human remains. Carnivores concentrate 15N, so this ratio tells archaeologists how much meat was consumed. For a mass spectrometer that has a path radius of 12.5 cm for 12C ions (mass 1.99 * 10-26 kg), find the separation of the 14N (mass 2.32 * 10-26 kg) and 15N (mass 2.49 * 10-26 kg) isotopes at the detector.
An lithium nucleus has a velocity of
v = (4.76 x 106 m/s) i – (2.75 x 106 m/s) j
and travels through a region of space with a uniform magnetic field of
B = (0.667 T) k
This particle has a charge of +3e = +4.806 x 10 19 C and seven nucleons in the nucleus meaning it has a mass of 7u = 7(1.66 x 1027 kg) = 11.6 x 10-27 kg
(a) Find the magnetic force on this particle. (HINT: You can use the cross product or the magnitude and right-hand-rule. If you use the magnitude and RHR, be sure
to calculate the magnitude and angle of the velocity first)
(b) This force will provide a centripal force on the particle and cause it to circle (or orbit) around the field lines. What would be the radius of this circular path?
(c) What is the period of the orbit?
IL-3 Leo has placed a speaker on flat ground that produces sound with an output power of 15.OW. David,
listener L1, is 5.00m from the speaker and Lam, listener L2, is 15.0m from the speaker as shown in the
figure below.
15.0m
5.00m
L1
L2
speaker
a) Draw on a figure like the one above the complete three-dimensional wavefront that arrives at listener L.
Find the intensity I, pressure amplitude pm, and the loudness B of the sound arriving at listener L.
b) Draw on the figure the complete three-dimensional wavefront that arrives at listener L2. Find the
intensity I, pressure amplitude Pm, and the loudness B of the sound arriving at listener L2. Show units
with all numbers, but it is not necessary to work out the units here if you did so in part a).
R,
c) Use numbers from above to find the following ratios:
R,
Pm2
and
Pmt
Chapter 27 Solutions
University Physics with Modern Physics (14th Edition)
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