Gravitation · JEE Main previous year questions

2005 2 questions

1. Q912005 · 28 Apr 2005 · Shift 1

   The change in the value of $g$ at a height $h$ above the surface of the earth is the same as at a depth $d$ below the surface of earth. When both $d$ and $h$ are much smaller than the radius of earth, then which one of the following is correct?

   1. A.$d=\frac{3h}{2}$
   2. B.$d=\frac{h}{2}$
   3. C.$d=h$
   4. D.$d=2h$
   Show answer

   Answer: D

2. Q922005 · 28 Apr 2005 · Shift 1

   A particle of mass $10\mathrm{g}$ is kept on the surface of a uniform sphere of mass $100\mathrm{kg}$ and radius $10\mathrm{cm}$. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take $G=6.67\times 10^{-11}\mathrm{N}{\mathrm{m}}^2/k{\mathrm{g}}^2$)

   1. A.$3.33\times 10^{-10}\mathrm{J}$
   2. B.$13.34\times 10^{-10}\mathrm{J}$
   3. C.$6.67\times 10^{-10}\mathrm{J}$
   4. D.$6.67\times 10^{-9}\mathrm{J}$
   Show answer

   Answer: C