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An electron and a proton are circulating with same speed in circular paths of equal radius. Which one among the following will happen, if the mass of a proton is about 2,000 times that of an electron?
- a)The centripetal force required by the electron is about 2,000 times more than that required by the proton
- b)The centripetal force required by the proton is about 2,000 times more than that required by the electron
- c)No centripetal force is required for any charged particle
- d)Equal centripetal force acts on both the particles as they rotate in the same circular path
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
An electron and a proton are circulating with same speed in circular ...
Centripetal force = mv2 / r
Given that,
Mass of proton = 2000 x mass of electron
Radius and speed is same for both proton and electron
∴ Centripetal force ∝ mass
Since mass of proton is 2000 times that of mass of electron, hence the centripetal force required by proton is about 2000 times more than that required by the electron.
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An electron and a proton are circulating with same speed in circular ...
Explanation:
When an object moves in a circular path, it experiences a centripetal force that acts towards the center of the circle. This force is responsible for keeping the object in its circular path.
Centripetal Force:
The centripetal force required to keep an object moving in a circular path can be calculated using the formula:
F = mv²/r
Where F is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.
Comparison:
In this question, an electron and a proton are circulating with the same speed in circular paths of equal radius. Given that the mass of a proton is about 2,000 times that of an electron, we need to determine the difference in the centripetal force required for each particle.
Electron:
Let's assume the mass of the electron is 'm' and its centripetal force is 'Fe'.
Fe = mv²/r
Proton:
Given that the mass of a proton is about 2,000 times that of an electron, the mass of the proton can be represented as 2000m. Let's assume the centripetal force required for the proton is 'Fp'.
Fp = (2000m)v²/r
Comparison:
To compare the centripetal forces required by the electron and the proton, we can divide the equation for the proton's centripetal force by the equation for the electron's centripetal force:
Fp/Fe = [(2000m)v²/r] / [mv²/r]
Fp/Fe = (2000m/1m) * (v²/v²)
Fp/Fe = 2000
This means that the centripetal force required by the proton is about 2000 times more than that required by the electron. Therefore, the correct answer is option 'B': The centripetal force required by the proton is about 2,000 times more than that required by the electron.
When an object moves in a circular path, it experiences a centripetal force that acts towards the center of the circle. This force is responsible for keeping the object in its circular path.
Centripetal Force:
The centripetal force required to keep an object moving in a circular path can be calculated using the formula:
F = mv²/r
Where F is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.
Comparison:
In this question, an electron and a proton are circulating with the same speed in circular paths of equal radius. Given that the mass of a proton is about 2,000 times that of an electron, we need to determine the difference in the centripetal force required for each particle.
Electron:
Let's assume the mass of the electron is 'm' and its centripetal force is 'Fe'.
Fe = mv²/r
Proton:
Given that the mass of a proton is about 2,000 times that of an electron, the mass of the proton can be represented as 2000m. Let's assume the centripetal force required for the proton is 'Fp'.
Fp = (2000m)v²/r
Comparison:
To compare the centripetal forces required by the electron and the proton, we can divide the equation for the proton's centripetal force by the equation for the electron's centripetal force:
Fp/Fe = [(2000m)v²/r] / [mv²/r]
Fp/Fe = (2000m/1m) * (v²/v²)
Fp/Fe = 2000
This means that the centripetal force required by the proton is about 2000 times more than that required by the electron. Therefore, the correct answer is option 'B': The centripetal force required by the proton is about 2,000 times more than that required by the electron.
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An electron and a proton are circulating with same speed in circular paths of equal radius. Which one among the following will happen, if the mass of a proton is about 2,000 times that of an electron?a)The centripetal force required by the electron is about 2,000 times more than that required by the protonb)The centripetal force required by the proton is about 2,000 times more than that required by the electronc)No centripetal force is required for any charged particled)Equal centripetal force acts on both the particles as they rotate in the same circular pathCorrect answer is option 'B'. Can you explain this answer?
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An electron and a proton are circulating with same speed in circular paths of equal radius. Which one among the following will happen, if the mass of a proton is about 2,000 times that of an electron?a)The centripetal force required by the electron is about 2,000 times more than that required by the protonb)The centripetal force required by the proton is about 2,000 times more than that required by the electronc)No centripetal force is required for any charged particled)Equal centripetal force acts on both the particles as they rotate in the same circular pathCorrect answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An electron and a proton are circulating with same speed in circular paths of equal radius. Which one among the following will happen, if the mass of a proton is about 2,000 times that of an electron?a)The centripetal force required by the electron is about 2,000 times more than that required by the protonb)The centripetal force required by the proton is about 2,000 times more than that required by the electronc)No centripetal force is required for any charged particled)Equal centripetal force acts on both the particles as they rotate in the same circular pathCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electron and a proton are circulating with same speed in circular paths of equal radius. Which one among the following will happen, if the mass of a proton is about 2,000 times that of an electron?a)The centripetal force required by the electron is about 2,000 times more than that required by the protonb)The centripetal force required by the proton is about 2,000 times more than that required by the electronc)No centripetal force is required for any charged particled)Equal centripetal force acts on both the particles as they rotate in the same circular pathCorrect answer is option 'B'. Can you explain this answer?.
An electron and a proton are circulating with same speed in circular paths of equal radius. Which one among the following will happen, if the mass of a proton is about 2,000 times that of an electron?a)The centripetal force required by the electron is about 2,000 times more than that required by the protonb)The centripetal force required by the proton is about 2,000 times more than that required by the electronc)No centripetal force is required for any charged particled)Equal centripetal force acts on both the particles as they rotate in the same circular pathCorrect answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An electron and a proton are circulating with same speed in circular paths of equal radius. Which one among the following will happen, if the mass of a proton is about 2,000 times that of an electron?a)The centripetal force required by the electron is about 2,000 times more than that required by the protonb)The centripetal force required by the proton is about 2,000 times more than that required by the electronc)No centripetal force is required for any charged particled)Equal centripetal force acts on both the particles as they rotate in the same circular pathCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electron and a proton are circulating with same speed in circular paths of equal radius. Which one among the following will happen, if the mass of a proton is about 2,000 times that of an electron?a)The centripetal force required by the electron is about 2,000 times more than that required by the protonb)The centripetal force required by the proton is about 2,000 times more than that required by the electronc)No centripetal force is required for any charged particled)Equal centripetal force acts on both the particles as they rotate in the same circular pathCorrect answer is option 'B'. Can you explain this answer?.
Solutions for An electron and a proton are circulating with same speed in circular paths of equal radius. Which one among the following will happen, if the mass of a proton is about 2,000 times that of an electron?a)The centripetal force required by the electron is about 2,000 times more than that required by the protonb)The centripetal force required by the proton is about 2,000 times more than that required by the electronc)No centripetal force is required for any charged particled)Equal centripetal force acts on both the particles as they rotate in the same circular pathCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
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