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An electron of mass "m" and charge "e" is accelerated from the rest through a potential difference "V" in vacuum. Its final speed will be:?
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An electron of mass "m" and charge "e" is accelerated from the rest th...
Explanation:
When an electron is accelerated from rest through a potential difference "V", the electron gains kinetic energy equal to the potential energy it loses. This is according to the conservation of energy law.
Formula:
The kinetic energy gained by the electron can be calculated using the formula:
K.E. = qV
where q is the charge of the electron and V is the potential difference.
Substitute values:
Substituting the values for the charge and potential difference, we get:
K.E. = eV
where e is the charge of the electron, which is equal to 1.6 x 10^-19 C.
Calculate final speed:
The kinetic energy gained by the electron is equal to the final kinetic energy of the electron. We can use the formula for kinetic energy to calculate the final speed of the electron.
Formula:
The formula for kinetic energy is:
K.E. = (1/2)mv^2
where m is the mass of the electron and v is its final velocity.
Substitute values:
Substituting the value of kinetic energy gained by the electron, we get:
eV = (1/2)mv^2
Solving for v, we get:
v = [2eV/m]^1/2
Final answer:
Therefore, the final speed of the electron is [2eV/m]^1/2.
When an electron is accelerated from rest through a potential difference "V", the electron gains kinetic energy equal to the potential energy it loses. This is according to the conservation of energy law.
Formula:
The kinetic energy gained by the electron can be calculated using the formula:
K.E. = qV
where q is the charge of the electron and V is the potential difference.
Substitute values:
Substituting the values for the charge and potential difference, we get:
K.E. = eV
where e is the charge of the electron, which is equal to 1.6 x 10^-19 C.
Calculate final speed:
The kinetic energy gained by the electron is equal to the final kinetic energy of the electron. We can use the formula for kinetic energy to calculate the final speed of the electron.
Formula:
The formula for kinetic energy is:
K.E. = (1/2)mv^2
where m is the mass of the electron and v is its final velocity.
Substitute values:
Substituting the value of kinetic energy gained by the electron, we get:
eV = (1/2)mv^2
Solving for v, we get:
v = [2eV/m]^1/2
Final answer:
Therefore, the final speed of the electron is [2eV/m]^1/2.
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An electron of mass "m" and charge "e" is accelerated from the rest through a potential difference "V" in vacuum. Its final speed will be:?
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An electron of mass "m" and charge "e" is accelerated from the rest through a potential difference "V" in vacuum. Its final speed will be:? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about An electron of mass "m" and charge "e" is accelerated from the rest through a potential difference "V" in vacuum. Its final speed will be:? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electron of mass "m" and charge "e" is accelerated from the rest through a potential difference "V" in vacuum. Its final speed will be:?.
An electron of mass "m" and charge "e" is accelerated from the rest through a potential difference "V" in vacuum. Its final speed will be:? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about An electron of mass "m" and charge "e" is accelerated from the rest through a potential difference "V" in vacuum. Its final speed will be:? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electron of mass "m" and charge "e" is accelerated from the rest through a potential difference "V" in vacuum. Its final speed will be:?.
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