A particle accelerator functions by exerting a magnetic field on charged particles which are shot into the accelerator. The magnetic field causes the charged particles to move around in a circle of radius R that can be predicted by the following equation, where mp is the mass of the particle in kilograms, v is the initial speed at which the particle was shot in meters per second, q is the charge of the particle in Coulombs, and B is the strength of the magnetic field in Tesla.R=mpv/qBA proton weighs approximately 1 amu (atomic mass units) and has a charge of 1.6andlowast;10andminus;19 C. An electron has the same magnitude of charge, but it has about 1/1800of the protons mass. What would happen to radius R if we were to suddenly switch the particle in the accelerator from a proton to an electron, keeping all of the other conditions the same?a)Radius R would decrease 900-fold.b)Radius R would decrease 1800-fold.c)Radius R would increase 900-fold.d)Radius R would increase 1800-fold.Correct answer is option 'D'. Can you explain this answer?

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R=m_pv/qB

A proton weighs approximately 1 amu (atomic mass units) and has a charge of 1.6∗10⁻¹⁹ C. An electron has the same magnitude of charge, but it has about 1/1800 of the proton's mass. What would happen to radius R if we were to suddenly switch the particle in the accelerator from a proton to an electron, keeping all of the other conditions the same?

a)
Radius R would decrease 900-fold.
b)
Radius R would decrease 1800-fold.
c)
Radius R would increase 900-fold.
d)
Radius R would increase 1800-fold.

Correct answer is option 'D'. Can you explain this answer?

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A particle accelerator functions by exerting a magnetic field on charg...

The correct answer is that radius R would decrease 1800-fold. With a smaller mass, we know by the given equation that the radius would change in proportion with the change in particle mass. Therefore, if the mass decreased 1800-fold, so would radius R.

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A particle accelerator functions by exerting a magnetic field on charg...

Explanation:

Given:
- Mass of proton (mp) = 1 amu
- Charge of proton (q) = 1.6x10^-19 C
- Mass of electron = 1/1800 of proton's mass
- Charge of electron = same as proton's charge

Formula for radius R:
R = (mp * v) / (q * B)

Analysis:
- For the proton:
- mp = 1 amu = 1.67x10^-27 kg
- q = 1.6x10^-19 C
- For the electron:
- mp = 1/1800 * 1.67x10^-27 kg ≈ 9.3x10^-31 kg
- q = 1.6x10^-19 C

Comparison:
- For the same initial speed, magnetic field strength, and charge, the radius R is inversely proportional to the mass of the particle.
- Since the mass of the electron is approximately 1800 times smaller than the mass of the proton, the radius R would increase 1800-fold if we were to switch the particle from a proton to an electron.
Therefore, the correct answer is option D - Radius R would increase 1800-fold.

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A particle accelerator functions by exerting a magnetic field on charged particles which are shot into the accelerator. The magnetic field causes the charged particles to move around in a circle of radius R that can be predicted by the following equation, where mp is the mass of the particle in kilograms, v is the initial speed at which the particle was shot in meters per second, q is the charge of the particle in Coulombs, and B is the strength of the magnetic field in Tesla.R=mpv/qBIf a given magnetic fields strength B=x and its radius R=y, what would the radius R be at B=3x?

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Directions:Read the passages and choose the best answer to each question.PassageOil and natural gas stores are formed naturally in reservoirs. However, these reservoirs are not like the giant man-made lakes that might come to mind; they are underground. In fact, a reservoir occurs in a rock that looks on the surface like any other. The oil and gas pool in millions of tiny pores in the rock. Porous rocks include sandstone, limestone, shale, and many more. There are several factors affecting porosity (the ability to store ﬂuid in the open spaces located between rock particles). Among these factors are the nature and characteristics of the sand and other sediment that accumulate to form rocks. The sand particle size is not critical to porosity, but the uniformity or sorting of the sand grains greatly effects porosity. Uniform or well-sorted sand will tend to be more porous than poorly sorted sand.Experiment 1In a laboratory, a scientist wanted to determine the porosity of 4 samples of different rocks. The scientist recorded the mass of the rock samples prior to the experiment. To measure porosity, the samples were soaked in water and the mass of the samples was recorded periodically. A highly porous rock would have a signiﬁcant increase in mass the longer it soaked in water, eventually reaching the point at which it could no longer absorb any more water (saturation point). The data was recorded in Table 1.Experiment 2Geologists in Arizona were interested in the porosities of different varieties of sandstone. They documented the relationship between porosity, density, sand particle size, and the uniformity or sorting of the sand grains. The geologists found that, in general, neither density nor particle size affected the porosity if the particles were uniform. However, they did ﬁnd that in samples with a wide variety of particle sizes, the porosity was generally lower. Also, the presence of contaminants such as clay or silt negativelyExperiment 2 Geologists in Arizona were interested in the porosities of different varieties of sandstone. They documented the relationship between porosity, density, sand particle size, and the uniformity or sorting of the sand grains. The geologists found that, in general, neither density nor particle size affected the porosity if the particles were uniform. However, they did ﬁnd that in samples with a wide variety of particle sizes, the porosity was generally lower. Also, the presence of contaminants such as clay or silt negativelyQ.Which of the following ﬁndings would NOT be consistent with the information provided about rock porosity?

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A particle accelerator functions by exerting a magnetic field on charged particles which are shot into the accelerator. The magnetic field causes the charged particles to move around in a circle of radius R that can be predicted by the following equation, where mp is the mass of the particle in kilograms, v is the initial speed at which the particle was shot in meters per second, q is the charge of the particle in Coulombs, and B is the strength of the magnetic field in Tesla.R=mpv/qBA proton weighs approximately 1 amu (atomic mass units) and has a charge of 1.6∗10−19 C. An electron has the same magnitude of charge, but it has about 1/1800of the protons mass. What would happen to radius R if we were to suddenly switch the particle in the accelerator from a proton to an electron, keeping all of the other conditions the same?a)Radius R would decrease 900-fold.b)Radius R would decrease 1800-fold.c)Radius R would increase 900-fold.d)Radius R would increase 1800-fold.Correct answer is option 'D'. Can you explain this answer?

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A particle accelerator functions by exerting a magnetic field on charged particles which are shot into the accelerator. The magnetic field causes the charged particles to move around in a circle of radius R that can be predicted by the following equation, where mp is the mass of the particle in kilograms, v is the initial speed at which the particle was shot in meters per second, q is the charge of the particle in Coulombs, and B is the strength of the magnetic field in Tesla.R=mpv/qBA proton weighs approximately 1 amu (atomic mass units) and has a charge of 1.6∗10−19 C. An electron has the same magnitude of charge, but it has about 1/1800of the protons mass. What would happen to radius R if we were to suddenly switch the particle in the accelerator from a proton to an electron, keeping all of the other conditions the same?a)Radius R would decrease 900-fold.b)Radius R would decrease 1800-fold.c)Radius R would increase 900-fold.d)Radius R would increase 1800-fold.Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about A particle accelerator functions by exerting a magnetic field on charged particles which are shot into the accelerator. The magnetic field causes the charged particles to move around in a circle of radius R that can be predicted by the following equation, where mp is the mass of the particle in kilograms, v is the initial speed at which the particle was shot in meters per second, q is the charge of the particle in Coulombs, and B is the strength of the magnetic field in Tesla.R=mpv/qBA proton weighs approximately 1 amu (atomic mass units) and has a charge of 1.6∗10−19 C. An electron has the same magnitude of charge, but it has about 1/1800of the protons mass. What would happen to radius R if we were to suddenly switch the particle in the accelerator from a proton to an electron, keeping all of the other conditions the same?a)Radius R would decrease 900-fold.b)Radius R would decrease 1800-fold.c)Radius R would increase 900-fold.d)Radius R would increase 1800-fold.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle accelerator functions by exerting a magnetic field on charged particles which are shot into the accelerator. The magnetic field causes the charged particles to move around in a circle of radius R that can be predicted by the following equation, where mp is the mass of the particle in kilograms, v is the initial speed at which the particle was shot in meters per second, q is the charge of the particle in Coulombs, and B is the strength of the magnetic field in Tesla.R=mpv/qBA proton weighs approximately 1 amu (atomic mass units) and has a charge of 1.6∗10−19 C. An electron has the same magnitude of charge, but it has about 1/1800of the protons mass. What would happen to radius R if we were to suddenly switch the particle in the accelerator from a proton to an electron, keeping all of the other conditions the same?a)Radius R would decrease 900-fold.b)Radius R would decrease 1800-fold.c)Radius R would increase 900-fold.d)Radius R would increase 1800-fold.Correct answer is option 'D'. Can you explain this answer?.

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What would happen to radius R if we were to suddenly switch the particle in the accelerator from a proton to an electron, keeping all of the other conditions the same?a)Radius R would decrease 900-fold.b)Radius R would decrease 1800-fold.c)Radius R would increase 900-fold.d)Radius R would increase 1800-fold.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A particle accelerator functions by exerting a magnetic field on charged particles which are shot into the accelerator. The magnetic field causes the charged particles to move around in a circle of radius R that can be predicted by the following equation, where mp is the mass of the particle in kilograms, v is the initial speed at which the particle was shot in meters per second, q is the charge of the particle in Coulombs, and B is the strength of the magnetic field in Tesla.R=mpv/qBA proton weighs approximately 1 amu (atomic mass units) and has a charge of 1.6∗10−19 C. An electron has the same magnitude of charge, but it has about 1/1800of the protons mass. What would happen to radius R if we were to suddenly switch the particle in the accelerator from a proton to an electron, keeping all of the other conditions the same?a)Radius R would decrease 900-fold.b)Radius R would decrease 1800-fold.c)Radius R would increase 900-fold.d)Radius R would increase 1800-fold.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A particle accelerator functions by exerting a magnetic field on charged particles which are shot into the accelerator. The magnetic field causes the charged particles to move around in a circle of radius R that can be predicted by the following equation, where mp is the mass of the particle in kilograms, v is the initial speed at which the particle was shot in meters per second, q is the charge of the particle in Coulombs, and B is the strength of the magnetic field in Tesla.R=mpv/qBA proton weighs approximately 1 amu (atomic mass units) and has a charge of 1.6∗10−19 C. An electron has the same magnitude of charge, but it has about 1/1800of the protons mass. What would happen to radius R if we were to suddenly switch the particle in the accelerator from a proton to an electron, keeping all of the other conditions the same?a)Radius R would decrease 900-fold.b)Radius R would decrease 1800-fold.c)Radius R would increase 900-fold.d)Radius R would increase 1800-fold.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice ACT tests.

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