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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): Orbiting satellite or body has K.E. of always less than that of Potential energy.
Reason(R): For any bound state, the magnitude of potential energy is always twice that of kinetic energy (K.E.)
Assertion(A): Orbiting satellite or body has K.E. of always less than that of Potential energy.
Reason(R): For any bound state, the magnitude of potential energy is always twice that of kinetic energy (K.E.)
- a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.
- b)Both Assertion and Reason are true and Reason is not the correct explanation of assertion
- c)Assertion is true but Reason is false.
- d)Assertion is false but Reason is true.
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
In the following question, a Statement of Assertion (A) is given follo...
Understanding the Assertion and Reason
The question presents an Assertion and a Reason related to the energy dynamics of orbiting satellites or bodies.
Assertion (A):
- An orbiting satellite or body has kinetic energy (K.E.) that is always less than its potential energy (P.E.).
Reason (R):
- For any bound state, the magnitude of potential energy is always twice that of kinetic energy.
Analysis of the Assertion
- In orbital mechanics, a satellite in a stable orbit experiences a balance between gravitational potential energy and kinetic energy.
- The kinetic energy is indeed less than the potential energy in a bound system, as the total mechanical energy (T.E. = K.E. + P.E.) is negative, indicating that the system is bound.
Analysis of the Reason
- The reason states that the potential energy is always twice that of kinetic energy in bound states, which is a specific case that holds true for certain systems, such as circular orbits.
- In a circular orbit, K.E. is exactly half of the magnitude of P.E. (considering P.E. as negative), thus supporting the assertion.
Conclusion
- Both the Assertion and the Reason are true. The reason accurately explains the assertion within the context of orbital mechanics.
- Therefore, the correct answer is option 'A': both Assertion and Reason are true, and the Reason is the correct explanation of the Assertion.
This understanding is crucial for students preparing for JEE as it reinforces the principles of energy conservation in orbital systems.
The question presents an Assertion and a Reason related to the energy dynamics of orbiting satellites or bodies.
Assertion (A):
- An orbiting satellite or body has kinetic energy (K.E.) that is always less than its potential energy (P.E.).
Reason (R):
- For any bound state, the magnitude of potential energy is always twice that of kinetic energy.
Analysis of the Assertion
- In orbital mechanics, a satellite in a stable orbit experiences a balance between gravitational potential energy and kinetic energy.
- The kinetic energy is indeed less than the potential energy in a bound system, as the total mechanical energy (T.E. = K.E. + P.E.) is negative, indicating that the system is bound.
Analysis of the Reason
- The reason states that the potential energy is always twice that of kinetic energy in bound states, which is a specific case that holds true for certain systems, such as circular orbits.
- In a circular orbit, K.E. is exactly half of the magnitude of P.E. (considering P.E. as negative), thus supporting the assertion.
Conclusion
- Both the Assertion and the Reason are true. The reason accurately explains the assertion within the context of orbital mechanics.
- Therefore, the correct answer is option 'A': both Assertion and Reason are true, and the Reason is the correct explanation of the Assertion.
This understanding is crucial for students preparing for JEE as it reinforces the principles of energy conservation in orbital systems.
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): Orbiting satellite or body has K.E. of always less than that of Potential energy.Reason(R): For any bound state, the magnitude of potential energy is always twice that of kinetic energy (K.E.)a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertionc)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'A'. Can you explain this answer?
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): Orbiting satellite or body has K.E. of always less than that of Potential energy.Reason(R): For any bound state, the magnitude of potential energy is always twice that of kinetic energy (K.E.)a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertionc)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): Orbiting satellite or body has K.E. of always less than that of Potential energy.Reason(R): For any bound state, the magnitude of potential energy is always twice that of kinetic energy (K.E.)a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertionc)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): Orbiting satellite or body has K.E. of always less than that of Potential energy.Reason(R): For any bound state, the magnitude of potential energy is always twice that of kinetic energy (K.E.)a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertionc)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'A'. Can you explain this answer?.
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): Orbiting satellite or body has K.E. of always less than that of Potential energy.Reason(R): For any bound state, the magnitude of potential energy is always twice that of kinetic energy (K.E.)a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertionc)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): Orbiting satellite or body has K.E. of always less than that of Potential energy.Reason(R): For any bound state, the magnitude of potential energy is always twice that of kinetic energy (K.E.)a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertionc)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): Orbiting satellite or body has K.E. of always less than that of Potential energy.Reason(R): For any bound state, the magnitude of potential energy is always twice that of kinetic energy (K.E.)a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertionc)Assertion is true but Reason is false.d)Assertion is false but Reason is true.Correct answer is option 'A'. Can you explain this answer?.
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