Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Olympiad workbookNSEPGravitation

If Newton's inverse square law of gravitation had some dependence on radial distance other than r⁻² , which one of Kepler's three laws of planetary motion would rNone of the above emain unchanged?

Options

  1. AFirst law on nature of orbits
  2. BSecond law on constant areal velocity
  3. CThird law on dependence of orbital time period on orbit's semi major axis
  4. DNone of the above

Correct answer

B. Second law on constant areal velocity

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 acceleration due to gravity (g) is the same as that at a depth x below the surface. Assuming h and xLet R be the radius of the earth. In general, the loss of gravitational potential energy of a body of mass m falling from a height h to the earth surface isA satellite is launched from a point close to the surface of the earth (radius R ) with a velocity v=v₀ 1.5 , where v₀ is the velocity in a circular orbit. If the initial velocity The shortest period of rotation of a planet (considered to be a sphere of uniform density ) about its own axis, such that any mass m kept on its equator is just to fly off the surfThe magnitudes of the gravitational field at distances r₁ and r₂ from the centre of a uniform solid sphere of radius R and mass M are F (r₁ ) and F (r₂ ) respectively. Such thatTwo particles of masses m and M are initially at rest and infinitely separated. At a later instant when they are at a finite distance d from each other, their relative velocity of Two planets, each of mass M and radius R are positioned (at rest) in space, with their centres a distance 4 R apart. You wish to fire a projectile from the surface of one planet toAt the Earth's surface, a projectile is launched straight up at a speed of 10.0 ~km / s . Height to which it will rise is [ g at surface of Earth =9.8 ~ms ⁻² and radius of earth R Full Gravitation list All Olympiad workbook PYQs