SATHEE: Gravitation Question 108

Gravitation Question 108

Question:Suppose the gravitational force varies inversely as the $[n^{t h}]$ power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to [AIEEE 2004]

Options:

A) $[R^{(\frac{n + 1}{2})}]$

B) $[R^{(\frac{n - 1}{2})}]$

C) $[R^{n}]$

D) $[R^{(\frac{n - 2}{2})}]$

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Answer:

Correct Answer: A

Solution:

$[m ω^{2} R \propto \frac{1}{R^{n}}]$ Þ $[m (\frac{4 π^{2}}{T^{2}}) R \propto \frac{1}{R^{n}}]$ Þ $[T^{2} \propto R^{n + 1}]$ $[T \propto R^{(\frac{n + 1}{2})}]$

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Gravitation Question 108

Question:Suppose the gravitational force varies inversely as the $[n^{t h}]$ power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to [AIEEE 2004]

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Gravitation Question 108

Question:Suppose the gravitational force varies inversely as the [nth] power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to [AIEEE 2004]

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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Question:Suppose the gravitational force varies inversely as the $[n^{t h}]$ power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to [AIEEE 2004]