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Geostationary satellite

A geostationary satellite is orbiting around an arbitrary plan

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Easy

Solving time: 1 mins

A geostationary satellite is orbiting around an arbitrary planet 'P' at a height of $11 R$ above the surface of ' $P$ ', $R$ being the radius of ' $P$ ' . The time period of another satellite in house at a height of $2 R$ from the surface of ' $P$ ' is .'P' has the time period of 24 hours.

\frac{6}{2}

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Views: 6,323 students

Updated on: Jun 22, 2023

Exam:

JEE Mains 2021 Mar 17 Shift 2

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A geostationary satellite is orbiting around an arbitrary planet 'P' at a height of

11 R

above the surface of '

P

R

being the radius of '

P

' . The time period of another satellite in house at a height of

2 R

from the surface of '

P

' is .'P' has the time period of 24 hours.

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6 mins ago

Text solutionVerified

We know

T^{2} \propto r^{3} (\frac{T _{S_{1}}}{T _{S_{2}}})^{2} = (\frac{r _{S_{1}}}{r _{S_{2}}})^{3} (\frac{T _{S_{1}}}{24})^{2} = (\frac{3 R}{12 R})^{3} T_{S_{1}}^{2} = \frac{1}{4 ^{3}} \times (24)^{2} = \frac{24 \times 24}{4 \times 4 \times 4} T_{S_{1}}^{2} = 9 T_{S_{1}} = 3 hrs

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Question Text	A geostationary satellite is orbiting around an arbitrary planet 'P' at a height of $11 R$ above the surface of ' $P$ ', $R$ being the radius of ' $P$ ' . The time period of another satellite in house at a height of $2 R$ from the surface of ' $P$ ' is .'P' has the time period of 24 hours.
Updated On	Jun 22, 2023
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	396
Avg. Video Duration	8 min

A geostationary satellite is orbiting around an arbitrary planet 'P' at a height of $11 R$ above the surface of ' $P$ ', $R$ being the radius of ' $P$ ' . The time period of another satellite in house at a height of $2 R$ from the surface of ' $P$ ' is .'P' has the time period of 24 hours.

Text solutionVerified

Filo tutor solutions (3)

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A geostationary satellite is orbiting around an arbitrary planet 'P' at a height of 11R above the surface of ' P ', R being the radius of 'P ' . The time period of another satellite in house at a height of 2R from the surface of ' P ' is .'P' has the time period of 24 hours.

Text solutionVerified

Filo tutor solutions (3)

Questions from JEE Mains 2021 - PYQs

Practice questions from Gravitation in the same exam

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A geostationary satellite is orbiting around an arbitrary planet 'P' at a height of $11 R$ above the surface of ' $P$ ', $R$ being the radius of ' $P$ ' . The time period of another satellite in house at a height of $2 R$ from the surface of ' $P$ ' is .'P' has the time period of 24 hours.