Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Olympiad workbook
Exam
Olympiad workbook
Subject
NSEP
Chapter
Gravitation

Olympiad workbook · NSEP · Gravitation

Three stars of equal mass M rotate in a circular path of radius r...

Three stars of equal mass M rotate in a circular path of radius rr about their center of mass such that the stars always remain equidistant from each other. The common angular speed (ω)(\omega) of rotation of the stars can be expressed as

Options

  1. A\left(\frac{G M \sqrt{3}}{r^3}\right)^{\frac{1}{2}}
  2. B\left(\frac{G M}{r^3}\right)^{\frac{1}{2}}
  3. C\left(\frac{G M}{r^3} \frac{2}{\sqrt{3}}\right)^{\frac{1}{2}}
  4. D\left(\frac{G M}{r^3 \sqrt{3}}\right)^{\frac{1}{2}}

Correct answer

D. \left(\frac{G M}{r^3 \sqrt{3}}\right)^{\frac{1}{2}}

Step-by-step solution

No Solution
Practice Gravitation on Quantrex Academy →

More from Gravitation

At a certain height h above the surface of the earth the change in the value of… Olympiad workbookIf Newton's inverse square law of gravitation had some dependence on radial distance… Olympiad workbookLet R be the radius of the earth. In general, the loss of gravitational potential energy… Olympiad workbookA satellite is launched from a point close to the surface of the earth (radius R ) with a… Olympiad workbookThe shortest period of rotation of a planet (considered to be a sphere of uniform density… Olympiad workbookThe magnitudes of the gravitational field at distances r_1 and r_2 from the centre of a… Olympiad workbookTwo particles of masses m and M are initially at rest and infinitely separated. At a… Olympiad workbookTwo planets, each of mass M and radius R are positioned (at rest) in space, with their… Olympiad workbook Full Gravitation list All Olympiad workbook PYQs