A body is orbiting around earth at a mean radius which is two times as greater as the parking orbit of a satellite, the period of body is

Question

A body is orbiting around earth at a mean radius which is two times as greater as the parking orbit of a satellite, the period of body is

A body is orbiting around earth at a mean radius which is two times as greater as the parking orbit of a satellite, the period of body is
A. 4days
B. 16 days
C. `2sqrt(2)`days
D. 64 days

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
From kepler third law of planetary motion `T^(2) prop r^(3)` Given `T_(1)=1` day (geosatationary)
`therefore (T_(1))/(T_(2))^(2)=(r_(1))/(r_(2))^(3)`
`rarr T_(2)^(2)=(r_(2))/(r_(1))^(3)xxT_(1)^(2)=(2r)/(R )^(3)xx1=8`
`rarr T_(2)=2sqrt(2)`days

4 views Answered 2023-02-05 15:29