Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2006PhysicsGravitationActual

The Earth is assumed to be a sphere of radius R . A platform is arranged at a height R from the surface of the Earth. The escape velocity of a body from this platform is f v , where v is its escape velocity from the surface of the Earth. The value of f is:

Options

  1. A1 2
  2. B2
  3. C1 2
  4. D1 3

Correct answer

C. 1 2

Step-by-step solution

We know that Escape velocity V_e= 2 g R Escape velocity of the body from platform aligned & P. E + K E =0 & - G M m 2 R + 1 2 m V^2=0 & V= G M R^2 R = g R aligned This confirms that: aligned & fv = V 2 f & = 1 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