SATHEE: Gravitation 4 Question 4

Gravitation 4 Question 4

5. Imagine a light planet revolving around a very massive star in a circular orbit of radius $R$ with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to $R^{- 5 / 2}$ , then

$(1989, 2 M)$

(a) $T^{2}$ is proportional to $R^{2}$

(b) $T^{2}$ is proportional to $R^{7 / 2}$

(d) $T^{2}$ is proportional to $R^{3.75}$

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Answer:

Correct Answer: 5. (b)

Solution:

$\frac{m v^{2}}{R} \propto R^{- 5 / 2}$

$\begin{aligned} ∴ v \propto R^{- 3 / 4} \\ Now, T = \frac{2 π R}{v} or T^{2} \propto {\frac{R}{v}}^{2} \\ or \\ T^{2} \propto {\frac{R}{R^{- 3 / 4}}}^{2} or T^{2} \propto R^{7 / 2} \end{aligned}$

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Gravitation 4 Question 4

5. Imagine a light planet revolving around a very massive star in a circular orbit of radius $R$ with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to $R^{- 5 / 2}$ , then

Fill in the Blanks

Answer:

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 4 Question 4

5. Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to R−5/2, then

Fill in the Blanks

Answer:

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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5. Imagine a light planet revolving around a very massive star in a circular orbit of radius $R$ with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to $R^{- 5 / 2}$ , then