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An electron and a proton starting from rest are accelerated through a potential difference of 1000 V. Which one of the following statements in this regard is correct?
- a)The kinetic energy of both the particles will be different.
- b)The speed of the electron will behigher than that of the proton.
- c)The speed of the proton will be higher than that of the electron.
- d)The speed of the electron and theproton will be equal.
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
An electron and a proton starting from rest are accelerated through a ...
When accelerated from the rest, the energy is fully kinetic.
So, the Kinetic Energy (KE) = Charge x Potential Difference
So, the Kinetic Energy (KE) = Charge x Potential Difference
= MV2 = Q.V
- From the above equation, it is obvious that the velocity of particle is inversely proportional to the mass of that particle.
- So, electron will gain more speed as it has lower mass than proton. Also, the energy is fully kinetic in above case; hence, the electron will have greater energy as a result of greater velocity.
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An electron and a proton starting from rest are accelerated through a ...
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An electron and a proton starting from rest are accelerated through a ...
Answer:
The correct answer is option 'B' - The speed of the electron will be higher than that of the proton.
Explanation:
When an electron and a proton are accelerated through the same potential difference, they gain the same amount of kinetic energy. However, the electron has a much smaller mass than the proton, so it will have a higher speed.
Key points:
1. Accelerating particles through a potential difference causes them to gain kinetic energy.
2. The amount of kinetic energy gained by a particle is directly proportional to the charge of the particle and the potential difference.
3. The kinetic energy of a particle is given by the equation: KE = qV, where KE is the kinetic energy, q is the charge of the particle, and V is the potential difference.
4. In this case, both the electron and the proton have the same charge (1 elementary charge), and they are accelerated through the same potential difference of 1000 V.
5. Therefore, the kinetic energy gained by both the electron and the proton will be the same.
Comparison of speeds:
The speed of a particle can be calculated using the equation: KE = (1/2)mv^2, where m is the mass of the particle and v is its speed.
1. Electron: The mass of an electron is approximately 9.1 x 10^-31 kg.
2. Proton: The mass of a proton is approximately 1.7 x 10^-27 kg.
Since the kinetic energy gained by both the electron and the proton is the same, and the mass of the electron is much smaller than that of the proton, the speed of the electron will be higher than that of the proton.
Therefore, the correct answer is option 'B' - The speed of the electron will be higher than that of the proton.
The correct answer is option 'B' - The speed of the electron will be higher than that of the proton.
Explanation:
When an electron and a proton are accelerated through the same potential difference, they gain the same amount of kinetic energy. However, the electron has a much smaller mass than the proton, so it will have a higher speed.
Key points:
1. Accelerating particles through a potential difference causes them to gain kinetic energy.
2. The amount of kinetic energy gained by a particle is directly proportional to the charge of the particle and the potential difference.
3. The kinetic energy of a particle is given by the equation: KE = qV, where KE is the kinetic energy, q is the charge of the particle, and V is the potential difference.
4. In this case, both the electron and the proton have the same charge (1 elementary charge), and they are accelerated through the same potential difference of 1000 V.
5. Therefore, the kinetic energy gained by both the electron and the proton will be the same.
Comparison of speeds:
The speed of a particle can be calculated using the equation: KE = (1/2)mv^2, where m is the mass of the particle and v is its speed.
1. Electron: The mass of an electron is approximately 9.1 x 10^-31 kg.
2. Proton: The mass of a proton is approximately 1.7 x 10^-27 kg.
Since the kinetic energy gained by both the electron and the proton is the same, and the mass of the electron is much smaller than that of the proton, the speed of the electron will be higher than that of the proton.
Therefore, the correct answer is option 'B' - The speed of the electron will be higher than that of the proton.
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An electron and a proton starting from rest are accelerated through a potential difference of 1000 V. Which one of the following statements in this regard is correct?a)The kinetic energy of both the particles will be different.b)The speed of the electron will behigher than that of the proton.c)The speed of the proton will be higher than that of the electron.d)The speed of the electron and theproton will be equal.Correct answer is option 'B'. Can you explain this answer?
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An electron and a proton starting from rest are accelerated through a potential difference of 1000 V. Which one of the following statements in this regard is correct?a)The kinetic energy of both the particles will be different.b)The speed of the electron will behigher than that of the proton.c)The speed of the proton will be higher than that of the electron.d)The speed of the electron and theproton will be equal.Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about An electron and a proton starting from rest are accelerated through a potential difference of 1000 V. Which one of the following statements in this regard is correct?a)The kinetic energy of both the particles will be different.b)The speed of the electron will behigher than that of the proton.c)The speed of the proton will be higher than that of the electron.d)The speed of the electron and theproton will be equal.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electron and a proton starting from rest are accelerated through a potential difference of 1000 V. Which one of the following statements in this regard is correct?a)The kinetic energy of both the particles will be different.b)The speed of the electron will behigher than that of the proton.c)The speed of the proton will be higher than that of the electron.d)The speed of the electron and theproton will be equal.Correct answer is option 'B'. Can you explain this answer?.
An electron and a proton starting from rest are accelerated through a potential difference of 1000 V. Which one of the following statements in this regard is correct?a)The kinetic energy of both the particles will be different.b)The speed of the electron will behigher than that of the proton.c)The speed of the proton will be higher than that of the electron.d)The speed of the electron and theproton will be equal.Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about An electron and a proton starting from rest are accelerated through a potential difference of 1000 V. Which one of the following statements in this regard is correct?a)The kinetic energy of both the particles will be different.b)The speed of the electron will behigher than that of the proton.c)The speed of the proton will be higher than that of the electron.d)The speed of the electron and theproton will be equal.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electron and a proton starting from rest are accelerated through a potential difference of 1000 V. Which one of the following statements in this regard is correct?a)The kinetic energy of both the particles will be different.b)The speed of the electron will behigher than that of the proton.c)The speed of the proton will be higher than that of the electron.d)The speed of the electron and theproton will be equal.Correct answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice An electron and a proton starting from rest are accelerated through a potential difference of 1000 V. Which one of the following statements in this regard is correct?a)The kinetic energy of both the particles will be different.b)The speed of the electron will behigher than that of the proton.c)The speed of the proton will be higher than that of the electron.d)The speed of the electron and theproton will be equal.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Defence tests.
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