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JEE Main 2004 (AIEEE) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2004 (AIEEE)

Q70JEE Main 2004 · AIEEEEasy

Satellites - Orbital Velocity & Period

A satellite of mass mm revolves around the earth of radius RR at a height xx from its surface. If gg is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is

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Answer: (d)

  1. Orbital speed v=GMrv = \sqrt{\frac{GM}{r}} with r=R+xr = R + x.
  2. Using GM=gR2GM = gR^2: v=gR2R+xv = \sqrt{\frac{gR^2}{R+x}}
  3. So the answer is (d) (gR2R+x)1/2\left(\frac{gR^2}{R+x}\right)^{1/2}.
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