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An electron and a proton are circulating with the 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 the same speed in circu...
Explanation:
Centripetal Force Formula:
- The centripetal force required for an object moving in a circular path is given by the formula: Fc = mv^2/r, where Fc is the centripetal force, m is the mass of the object, v is the velocity, and r is the radius of the circular path.
Comparison of Electron and Proton:
- Given that the mass of a proton is about 2,000 times that of an electron, we can compare the centripetal forces required for both particles.
- Let's assume the speed of both the electron and proton is the same, and they are moving in circular paths of equal radius.
Centripetal Force for Proton:
- For the proton: Fc(proton) = m(proton) * v^2 / r
- Since the mass of the proton is about 2,000 times that of an electron, m(proton) = 2,000 * m(electron)
- Therefore, Fc(proton) = 2,000 * m(electron) * v^2 / r
- This shows that the centripetal force required for the proton is about 2,000 times more than that required for the electron.
Conclusion:
- Hence, the correct statement is that the centripetal force required by the proton is about 2,000 times more than that required by the electron when they are circulating with the same speed in circular paths of equal radius.
Centripetal Force Formula:
- The centripetal force required for an object moving in a circular path is given by the formula: Fc = mv^2/r, where Fc is the centripetal force, m is the mass of the object, v is the velocity, and r is the radius of the circular path.
Comparison of Electron and Proton:
- Given that the mass of a proton is about 2,000 times that of an electron, we can compare the centripetal forces required for both particles.
- Let's assume the speed of both the electron and proton is the same, and they are moving in circular paths of equal radius.
Centripetal Force for Proton:
- For the proton: Fc(proton) = m(proton) * v^2 / r
- Since the mass of the proton is about 2,000 times that of an electron, m(proton) = 2,000 * m(electron)
- Therefore, Fc(proton) = 2,000 * m(electron) * v^2 / r
- This shows that the centripetal force required for the proton is about 2,000 times more than that required for the electron.
Conclusion:
- Hence, the correct statement is that the centripetal force required by the proton is about 2,000 times more than that required by the electron when they are circulating with the same speed in circular paths of equal radius.
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Community Answer
An electron and a proton are circulating with the same speed in circu...
Given that,
Mass of proton =2000× mass of electron
Radius and speed is same for both proton and electron
∴ Centripetal force α 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.
Hence, the correct option is (b).
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An electron and a proton are circulating with the 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 the 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 the 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 the 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 the 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 the 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 the 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 the 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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