Question:
The time period of an artificial satellite in a circular orbit is independent of
The time period of an artificial satellite in a circular orbit is independent of
Updated On: May 24, 2023
- the mass of the satellite
- radius of the orbit
- mass of the earth and radius of the earth
- None of the above
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The Correct Option is A
Solution and Explanation
The time period of an artificial satellite is given by
$T=2 \pi \sqrt{\frac{\left(R_{e}+h\right)^{3}}{g R_{e}^{2}}}$
where $R_{e}$ is radius of earth and $h$ the height of satellite. From the above formula it is clear that time period of revolution does not depend upon the mass of the satellite.
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Concepts Used:
Gravitation
In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.
Newton’s Law of Gravitation
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
- F ∝ (M1M2) . . . . (1)
- (F ∝ 1/r2) . . . . (2)
On combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2
The dimension formula of G is [M-1L3T-2].