AP EAMCET · PHYSICS · Gravitation
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 _________ .
- A \(\sqrt{\frac{6 \mathrm{GM}}{7 \mathrm{R}}}\)
- B \(\sqrt{\frac{7 \mathrm{GM}}{5 \mathrm{R}}}\)
- C \(\sqrt{\frac{5 \mathrm{GM}}{6 \mathrm{R}}}\)
- D \(\sqrt{\frac{6 \mathrm{GM}}{5 \mathrm{R}}}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{\frac{6 \mathrm{GM}}{5 \mathrm{R}}}\)
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