Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2010PhysicsGravitationActual

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M , to transfer it from a circular orbit of radius R₁ to another of radius R₂ (R₂>R₁ ) is

Options

  1. AGmM ( 1 R ₁^2 - 1 R ₂^2 )
  2. BGmM ( 1 R ₁ - 1 R ₂ )
  3. C2 GmM ( 1 R ₁ - 1 R ₂ )
  4. D1 2 GmM ( 1 R ₁ - 1 R ₂ )

Correct answer

D. 1 2 GmM ( 1 R ₁ - 1 R ₂ )

Step-by-step solution

The kinetic energy changing the orbit of satellite aligned & KE = (- GMm 2 R ₂ )- (- GMm 2 R ₁ ) & KE = GMm 2 [ 1 R ₁ - 1 R ₂ ] aligned

Practice Gravitation on Quantrex Academy →

More from Gravitation

The amount of work done to raise a mass ' m ' from the surface of the Earth to a height equal to the radius of the Earth ' R ', will be : 2026Two planets P₁ and P₂ with equal mass have radii R₁ and R₂ , respectively, where R₂= R₁ 2 . The escape speeds of P₁ and P₂ are v₁ and v₂ , respectively. Then v₂ v₁ is : 2026In a solar system, the time-period of revolution of a planet tracing a circular orbit of radius R is proportional to : 2026The radius of Martian orbit around the Sun is about 4 times the radius of the orbit of Mercury. The Martian year is 687 Earth days. Then which of the following is the length of 1 y 2025A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its sur 2025The escape velocity for earth is v . A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of: 2024The mass of a planet is 1 10 th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is: 2024An object of mass 100 kg falls from point A to B as shown in figure. The change in its weight, corrected to the nearest integer is ( R_E is the radius of the earth) 2024 Full Gravitation list All NEET PYQs