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A double star is a system of two stars of masses m and 2m, rotating about their centre of mass only under their mutual gravitational attraction. If r is the separation between these two stars then their time period of rotation about their centre of mass will be proportional to :
- a)r
- b)r3/2
- c)m–1/2
- d)m1/2
Correct answer is option 'B,C'. Can you explain this answer?
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A double star is a system of two stars of massesmand 2m, rotating abou...
The correct answers are: r3/2, m–1/2
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A double star is a system of two stars of massesmand 2m, rotating abou...
The time period of rotation about the center of mass for a double star system can be calculated using Kepler's Third Law of Planetary Motion, which states that the square of the period is proportional to the cube of the semi-major axis (separation) of the orbit.
T^2 ∝ a^3
In this case, the semi-major axis (separation) of the orbit is given by r. Therefore, we can rewrite the equation as:
T^2 ∝ r^3
Taking the square root of both sides:
T ∝ r^(3/2)
So, the time period of rotation about the center of mass is proportional to r^(3/2).
Answer: b) r^(3/2)
T^2 ∝ a^3
In this case, the semi-major axis (separation) of the orbit is given by r. Therefore, we can rewrite the equation as:
T^2 ∝ r^3
Taking the square root of both sides:
T ∝ r^(3/2)
So, the time period of rotation about the center of mass is proportional to r^(3/2).
Answer: b) r^(3/2)
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A double star is a system of two stars of massesmand 2m, rotating about their centre of mass only under their mutual gravitational attraction. If ris the separation between these two stars then their time period of rotation about their centre of mass will be proportional to :a)rb)r3/2c)m–1/2d)m1/2Correct answer is option 'B,C'. Can you explain this answer?
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A double star is a system of two stars of massesmand 2m, rotating about their centre of mass only under their mutual gravitational attraction. If ris the separation between these two stars then their time period of rotation about their centre of mass will be proportional to :a)rb)r3/2c)m–1/2d)m1/2Correct answer is option 'B,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A double star is a system of two stars of massesmand 2m, rotating about their centre of mass only under their mutual gravitational attraction. If ris the separation between these two stars then their time period of rotation about their centre of mass will be proportional to :a)rb)r3/2c)m–1/2d)m1/2Correct answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A double star is a system of two stars of massesmand 2m, rotating about their centre of mass only under their mutual gravitational attraction. If ris the separation between these two stars then their time period of rotation about their centre of mass will be proportional to :a)rb)r3/2c)m–1/2d)m1/2Correct answer is option 'B,C'. Can you explain this answer?.
A double star is a system of two stars of massesmand 2m, rotating about their centre of mass only under their mutual gravitational attraction. If ris the separation between these two stars then their time period of rotation about their centre of mass will be proportional to :a)rb)r3/2c)m–1/2d)m1/2Correct answer is option 'B,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A double star is a system of two stars of massesmand 2m, rotating about their centre of mass only under their mutual gravitational attraction. If ris the separation between these two stars then their time period of rotation about their centre of mass will be proportional to :a)rb)r3/2c)m–1/2d)m1/2Correct answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A double star is a system of two stars of massesmand 2m, rotating about their centre of mass only under their mutual gravitational attraction. If ris the separation between these two stars then their time period of rotation about their centre of mass will be proportional to :a)rb)r3/2c)m–1/2d)m1/2Correct answer is option 'B,C'. Can you explain this answer?.
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