the mass of an ion. The ion of mass m, and electric charge q is accelerated through a region of potential difference V, before entering a chamber, where a magnetic field B is applied. Here, B is directed, perpendicularly, from behind of this sheet toward the front of it. a) The ions captured in the magnetic field, draw circular orbits, within the chamber; then land at a distance x from their entrance location to the chamber, on a photographic plate, so that one can measure easily the given landing location, due to the emission of a light photon, following the collision of the ion with the photographic plate of concern. Under the B²q circumstances, show that the ion mass m is given by m =- 8V b) Calculate the ion mass, in terms of the proton mass, i.e. m,- 1.67 x 10-27 kg, The following data is provided: B = 0.01 Tesla, V = 0.5 Volt, q = 1.6 x 10-1⁹ Coulomb, x = 4 cm. Make certain you use coherent units.

Glencoe Physics: Principles and Problems, Student Edition
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Chapter24: Magnetic Fields
Section: Chapter Questions
Problem 103A
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Question 2
The mass spectrometer (see Figure 4 of the text), is a device one uses to measure
the mass of an ion. The ion of mass m, and electric charge q is accelerated
through a region of potential difference V, before entering a chamber, where a
magnetic field B is applied. Here, B is directed, perpendicularly, from behind of
this sheet toward the front of it.
a) The ions captured in the magnetic field, draw circular orbits, within the
chamber; then land at a distance x from their entrance location to the
chamber, on a photographic plate, so that one can measure easily the
given landing location, due to the emission of a light photon, following
the collision of the ion with the photographic plate of concern. Under the
circumstances, show that the ion mass m is given by m=-
B²9x².
8V
b) Calculate the ion mass, in terms of the proton mass, i.e. mp= 1.67 x 10-27 kg,
The following data is provided: B = 0.01 Tesla, V = 0.5 Volt, q= 1.6 x 10-¹⁹
Coulomb, x = 4 cm. Make certain you use coherent units.
Transcribed Image Text:Question 2 The mass spectrometer (see Figure 4 of the text), is a device one uses to measure the mass of an ion. The ion of mass m, and electric charge q is accelerated through a region of potential difference V, before entering a chamber, where a magnetic field B is applied. Here, B is directed, perpendicularly, from behind of this sheet toward the front of it. a) The ions captured in the magnetic field, draw circular orbits, within the chamber; then land at a distance x from their entrance location to the chamber, on a photographic plate, so that one can measure easily the given landing location, due to the emission of a light photon, following the collision of the ion with the photographic plate of concern. Under the circumstances, show that the ion mass m is given by m=- B²9x². 8V b) Calculate the ion mass, in terms of the proton mass, i.e. mp= 1.67 x 10-27 kg, The following data is provided: B = 0.01 Tesla, V = 0.5 Volt, q= 1.6 x 10-¹⁹ Coulomb, x = 4 cm. Make certain you use coherent units.
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