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An alpha particle is accelerated through a potential difference of 200 volt. The increase in its kinetic energy, in electron volt is
- a)100
- b)200
- c)400
- d)800
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
An alpha particle is accelerated through a potential difference of 200...
Calculation of Kinetic Energy
Explanation:
An alpha particle is a helium nucleus consisting of two protons and two neutrons. When it is accelerated through a potential difference of 200 V, its electric potential energy increases by 200 eV (where eV is electron volt). This increase in electric potential energy is equal to the kinetic energy acquired by the alpha particle.
The formula for the kinetic energy of a particle is given by:
K.E. = 1/2 mv^2
where m is the mass of the particle and v is its velocity. The mass of an alpha particle is 4 times that of a hydrogen atom (which is taken as the standard unit of atomic mass), and its velocity after acceleration depends on the potential difference applied.
However, we can use the conservation of energy principle that says that the total energy of a system remains constant. Therefore, the increase in the kinetic energy of the alpha particle is equal to the decrease in its electric potential energy.
Calculation:
The charge on an alpha particle is twice that of an electron (since it has two protons), and the potential difference applied is 200 V. Therefore, the increase in the electric potential energy of the alpha particle is:
E = qV
= 2e(200)
= 400 eV
Thus, the increase in the kinetic energy of the alpha particle is also 400 eV.
Answer:
Hence, the correct option is (c) 400 eV.
Explanation:
An alpha particle is a helium nucleus consisting of two protons and two neutrons. When it is accelerated through a potential difference of 200 V, its electric potential energy increases by 200 eV (where eV is electron volt). This increase in electric potential energy is equal to the kinetic energy acquired by the alpha particle.
The formula for the kinetic energy of a particle is given by:
K.E. = 1/2 mv^2
where m is the mass of the particle and v is its velocity. The mass of an alpha particle is 4 times that of a hydrogen atom (which is taken as the standard unit of atomic mass), and its velocity after acceleration depends on the potential difference applied.
However, we can use the conservation of energy principle that says that the total energy of a system remains constant. Therefore, the increase in the kinetic energy of the alpha particle is equal to the decrease in its electric potential energy.
Calculation:
The charge on an alpha particle is twice that of an electron (since it has two protons), and the potential difference applied is 200 V. Therefore, the increase in the electric potential energy of the alpha particle is:
E = qV
= 2e(200)
= 400 eV
Thus, the increase in the kinetic energy of the alpha particle is also 400 eV.
Answer:
Hence, the correct option is (c) 400 eV.
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Community Answer
An alpha particle is accelerated through a potential difference of 200...
C because of charge 2e and mass 4m of alpha particle
e -charge on electron. m -mass of electron
e -charge on electron. m -mass of electron
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An alpha particle is accelerated through a potential difference of 200 volt. The increase in its kinetic energy, in electron volt isa)100b)200c)400d)800Correct answer is option 'C'. Can you explain this answer?
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An alpha particle is accelerated through a potential difference of 200 volt. The increase in its kinetic energy, in electron volt isa)100b)200c)400d)800Correct answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An alpha particle is accelerated through a potential difference of 200 volt. The increase in its kinetic energy, in electron volt isa)100b)200c)400d)800Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An alpha particle is accelerated through a potential difference of 200 volt. The increase in its kinetic energy, in electron volt isa)100b)200c)400d)800Correct answer is option 'C'. Can you explain this answer?.
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