Gravitation · JEE Main previous year questions

2018 2 questions

1. Q372018 · 16 Apr 2018 · Shift 1

   The relative uncertainty in the period of a satellite orbiting around the earth is $10^{-2}$. If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass of the earth is :

   1. A.$10^{-2}$
   2. B.$2\times 10^{-2}$
   3. C.$3\times 10^{-2}$
   4. D.$6\times 10^{-2}$
   Show answer

   Answer: B

2. Q342018 · 15 Apr 2018 · Shift 1

   A body of mass m is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius $\frac{R}{2}$, and the other mass, in a circular orbit of radius $\frac{3R}{2}$. The difference between the final and initial total energies is :

   1. A.$-\frac{GMm}{2R}$
   2. B.$+\frac{GMm}{6R}$
   3. C.$\frac{GMm}{2R}$
   4. D.$-\frac{GMm}{6R}$
   Show answer

   Answer: D