Gravitation · JEE Main previous year questions

2004 3 questions

1. Q862004 · 24 Apr 2004 · Shift 1

   A satellite of mass $m$ revolves around the earth of radius $R$ at a height $x$ from its surface. If $g$ is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is

   1. A.$\frac{g{R}^2}{R+x}$
   2. B.$\frac{gR}{R-x}$
   3. C.$gx$
   4. D.${\left(\frac{g{R}^2}{R+x}\right)}^{1/2}$
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   Answer: D

2. Q872004 · 24 Apr 2004 · Shift 1

   The time period of an earth satellite in circular orbit is independent of

   1. A.both the mass and radius of the orbit
   2. B.radius of its orbit
   3. C.the mass of the satellite
   4. D.neither the mass of the satellite nor the radius of its orbit
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   Answer: C

3. Q892004 · 24 Apr 2004 · Shift 1

   Suppose the gravitational force varies inversely as the $n^{th}$ power of distance. Then the time period of a planet in circular orbit of radius $R$ around the sun will be proportional to

   1. A.$R^n$
   2. B.$R^{\left(\frac{n-1}{2}\right)}$
   3. C.$R^{\left(\frac{n+1}{2}\right)}$
   4. D.$R^{\left(\frac{n-2}{2}\right)}$
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   Answer: C