A satellite is revolving in a circular orbit at a height h from the earth's surface (radius of earth R ;…

A satellite is revolving in a circular orbit at a height h from the earth's surface (radius of earth R; h << R ). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth's gravitational field, is close to (Neglect the effect of atmosphere.)
  1. gR2
  2. gR 2-1
  3. 2 gR
  4.  gR

Solution

Since,  h << R ,

Ve=2gR

& V0=gR

∴The minimum increase in velocity required,

Ve-V0=2gR-gR

=2-1gR

Asked in: JEE Main 2016 (03 Apr)

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