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  • The rotation period of an earth satellite close to the surface of the earth is 83 minutes. The time period of another earth satellite in an orbit at a distance of three earth radii from its surface

The rotation period of an earth satellite close to the surface of the earth is 83 minutes. The time period of another earth satellite in an orbit at a distance of three earth radii from its surface will be
 

Option: 1

\mathrm{83\: minutes}



 


Option: 2

\mathrm{83 \times \sqrt{8} \: minutes}
 


Option: 3

\mathrm{664 \: minutes}
 


Option: 4

\mathrm{249 \: minutes}


Answers (1)

best_answer

\mathrm{T}^2=\mathrm{kR} ; \mathrm{T}^2=\mathrm{k}(4 \mathrm{R})^3

\frac{\mathrm{T}^{\prime 2}}{\mathrm{~T}^2}=64, \mathrm{~T}^{\prime}=8 \mathrm{~T}=8 \times 83=664 \mathrm{~min} .

Hence option 3 is correct.
 

Posted by

rishi.raj

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