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AP EAMCET · PHYSICS · Gravitation

A satellite revolving around a planet has orbital velocity \(10 \mathrm{~km} / \mathrm{s}\). The additional velocity required for the satellite to escape from the gravitational field of the planet is

  1. A \(14.14\ km/s\)
  2. B \(11.2\ km/s\)
  3. C \(4.14\ km/s\)
  4. D \(41.4\ km/s\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(4.14\ km/s\)

Step-by-step Solution

Detailed explanation

The relation between two velocities is given by the relation \(\begin{aligned} & v_{\mathrm{e}}=(\sqrt{2}-1) v_0 \\ & =(1.414-1) \mathrm{v}_0 \\ & =0.414 \times 10=4.14 \mathrm{~km} / \mathrm{s} \end{aligned}\)
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