The masses of two fixed spheres are $\mathrm{M}$ and $2 \mathrm{M}$ and the radius of each sphere is…

The masses of two fixed spheres are $\mathrm{M}$ and $2 \mathrm{M}$ and the radius of each sphere is $\mathrm{R}$. Their centres are $10 \mathrm{R}$ apart. The minimum speed with which a particle of mass $\frac{\mathrm{M}}{10}$ be projected from the mid-point of the line joining the centres of the two spheres so that it escapes to infinity is _________ .
  1. $\sqrt{\frac{6 \mathrm{GM}}{7 \mathrm{R}}}$
  2. $\sqrt{\frac{7 \mathrm{GM}}{5 \mathrm{R}}}$
  3. $\sqrt{\frac{5 \mathrm{GM}}{6 \mathrm{R}}}$
  4. $\sqrt{\frac{6 \mathrm{GM}}{5 \mathrm{R}}}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (26 Apr Shift 2)

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