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A mass spectrometer is being used to separate common oxygen−16 from the much rarer oxygen−18, taken from a sample of old glacial ice. (The relative
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- A mass spectrometer is being used to separate common oxygen-16 from the much rarer oxygen-18, taken from a sample of old glacial ice. (The relative abundance of these oxygen isotopes is related to climatic temperature at the time the ice was deposited.) The ratio of the masses of these two ions is 16 to 18, the mass of oxygen-16 is 2.66 × 10-26 kg, and they are both singly charged and travel at 4.95 × 106 m/s in a 1.4 T magnetic field. What is the separation between their paths in meters when they hit a target after traversing a semicircle?arrow_forwardTwo small aluminum spheres, each having mass 0.0250 kg, are separated by 80.0 cm. (a) How many electrons does each sphere contain? (The atomic mass of aluminum is 26.982 g/mol, and its atomic number is 13.) (b) How many electrons would have to be removed from one sphere and added to the other to cause an attractive force between the spheres of magnitude 1.00 * 10^4 N (roughly 1 ton)? Assume that the spheres may be treated as point charges. (c) What fraction of all the electrons in each sphere does this represent?arrow_forwardProblem 2: A mass spectrometer is being used to separate common oxygen-16 from the much rarer oxygen-18, taken from a sample of old glacial ice. (The relative abundance of these oxygen isotopes is related to climatic temperature at the time the ice was deposited.) The ratio of the masses of these two ions is 16 to 18, the mass of oxygen-16 is 2.66 × 10-20 kg, and they are both singly charged and travel at 4.95 × 100 m/s in a 1.15 T magnetic field o A What is the separation between their paths in meters when they hit a target after traversing a semicircle? tan( cos() asinacos0 acotan sin HOME cotan 4 5 6 sinh() cotanhO cosh() 0 END O Degrees Radians BACKSPACE CLEAR Submit Hint I give up!arrow_forward
- What mass would a pair of electrons have in order for their gravitational force of attraction to be equal to the electrical force of repulsion? (Use G=6.67x10-11 N•m2/kg2.)arrow_forwardThe diagram shows a mass spectrometer used for measuring the masses of isotopes. It consists of an ion generator and accelerator, a velocity selector and an ion separator, all in a vacuum. In one experiment, tin ions, each of which carries a charge +1.6 × 10-19C, are produced in the ion generator and are then accelerated by a p.d. of 20kV. Tin has a number of isotopes, two of which are tin-118 (118Sn) and tin-120 (120Sn). (a.) In practice, all ions produced by the ion generator have a range of speeds. A velocity selector is used to isolate ions with a single speed. In the velocity selector, the isolated ions go through undeviated, though being acted upon by forces from both the electric and magnetic fields. (i.) The plates producing the electric field have a separation of 2.0cm. The potentials of the plates are marked on the diagram. What is the magnitude of the force on an ion due to this electric field in the velocity selector? (ii.) Write down the condition and equation which must…arrow_forwardThe diagram shows a mass spectrometer used for measuring the masses of isotopes. It consists of an ion generator and accelerator, a velocity selector and an ion separator, all in a vacuum. In one experiment, tin ions, each of which carries a charge +1.6 × 10-19C, are produced in the ion generator and are then accelerated by a p.d. of 20kV. Tin has a number of isotopes, two of which are tin-118 (118Sn) and tin-120 (120Sn). (a.) In practice, all ions produced by the ion generator have a range of speeds. A velocity selector is used to isolate ions with a single speed. In the velocity selector, the isolated ions go through undeviated, though being acted upon by forces from both the electric and magnetic fields. (i.) Write down the condition and equation which must be satisfied if the ions are to emerge from the exit hole of the velocity selector. Define the terms in the equation. Redraw the section of thevelocity selector and indicate the different forces acting on the ions there and use…arrow_forward
- The diagram shows a mass spectrometer used for measuring the masses of isotopes. It consists of an ion generator and accelerator, a velocity selector and an ion separator, all in a vacuum. In one experiment, tin ions, each of which carries a charge +1.6 × 10-19C, are produced in the ion generator and are then accelerated by a p.d. of 20kV. Tin has a number of isotopes, two of which are tin-118 (118Sn) and tin-120 (120Sn). (c.) After selection, the ions are separated using a magnetic field on its own, as shown in the diagram.(i.) Name the trajectory of the ions in the ion separator. Explain your answer.(ii.) Show that the radius of the trajectory is directly proportional to the mass of the ion.(iii.) On the ion separator, draw the trajectories of the two isotopes of tin tillthey strike the photographic plate P. Label your diagram.Explain why they strike the plates at different points.arrow_forwardThe diagram shows a mass spectrometer used for measuring the masses of isotopes. It consists of an ion generator and accelerator, a velocity selector and an ion separator, all in a vacuum. In one experiment, tin ions, each of which carries a charge +1.6 × 10-19C, are produced in the ion generator and are then accelerated by a p.d. of 20kV. Tin has a number of isotopes, two of which are tin-118 (118Sn) and tin-120 (120Sn). Assuming that an ion of tin-120 is at rest before being accelerated, show that the final speed after acceleration is 177km/s.arrow_forwardThe diagram shows a mass spectrometer used for measuring the masses of isotopes. It consists of an ion generator and accelerator, a velocity selector and an ion separator, all in a vacuum. In one experiment, tin ions, each of which carries a charge +1.6 × 10-19C, are produced in the ion generator and are then accelerated by a p.d. of 20kV. Tin has a number of isotopes, two of which are tin-118 (118Sn) and tin-120 (120Sn). (a.) After selection, the ions are separated using a magnetic field on its own, as shown in the diagram. The ions are detected using the photographic plate P. Determine the distance between the points of impact on the photographic plate of the two isotopes of tin when a magnetic flux density of 0.75T is used in the ion separator. Explain whether the distance between the points of impact of the ions would be the same, greater or smaller for two isotopes of uranium, one with a nucleon number of 236 and the other238, assuming that they have the same velocity as the tin…arrow_forward
- The diagram shows a mass spectrometer used for measuring the masses of isotopes. It consists of an ion generator and accelerator, a velocity selector, and an ion separator, all in a vacuum. In one experiment, tin ions, each of which carries a charge +1.6 × 10-19C, are produced in the ion generator and are then accelerated by a p.d. of 20kV. Tin has a number of isotopes, two of which are tin-118 (118Sn) and tin-120 (120Sn). (a.) In practice, all ions produced by the ion generator have a range of speeds. A velocity selector is used to isolate ions with a single speed. In the velocity selector, the isolated ions go through undeviated, though being acted upon by forces from both the electric and magnetic fields. Write down the condition and equation which must be satisfied if the ions are to emerge from the exit hole of the velocity selector. Define the terms in the equation. Redraw the section of thevelocity selector and indicate the different forces acting on the ions there and use it…arrow_forwardThe diagram shows a mass spectrometer used for measuring the masses of isotopes. It consists of an ion generator and accelerator, a velocity selector and an ion separator, all in a vacuum. In one experiment, tin ions, each of which carries a charge +1.6 × 10-19C, are produced in the ion generator and are then accelerated by a p.d. of 20kV. Tin has a number of isotopes, two of which are tin-118 (118Sn) and tin-120 (120Sn). (a.) In practice, all ions produced by the ion generator have a range of speeds. A velocity selector is used to isolate ions with a single speed. In the velocity selector, the isolated ions go through undeviated, though being acted upon by forces from both the electric and magnetic fields. (i.) The plates producing the electric field have a separation of 2.0cm. The potentials of the plates are marked on the diagram. What is the magnitude of the force on an ion due to this electric field in the velocity selector? (ii.) Write down the condition and equation which must…arrow_forwardThe diagram shows a mass spectrometer used for measuring the masses of isotopes. It consists of an ion generator and accelerator, a velocity selector, and an ion separator, all in a vacuum. In one experiment, tin ions, each of which carries a charge +1.6 × 10-19C, are produced in the ion generator and are then accelerated by a p.d. of 20kV. Tin has a number of isotopes, two of which are tin-118 (118Sn) and tin-120 (120Sn). (a.) In practice, all ions produced by the ion generator have a range of speeds. A velocity selector is used to isolate ions with a single speed. In the velocity selector, the isolated ions go through undeviated, though being acted upon by forces from both the electric and magnetic fields. The plates producing the electric field have a separation of 2.0cm. The potentials of the plates are marked on the diagram. What is the magnitude of the force on an ion due to this electric field in the velocity selector?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning