Navigate

A particle of masses m is thrown upwards from the surface of the earth, with a velocity u

A particle of masses m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is

Options

(a) √( 2GM / R)
(b) √( 2GM / R)²
(c) √( 2G R²)
(d) √( 2GM / R)²

Correct Answer:

√( 2GM / R)

Explanation:

The velocity u should be equal to the escape velocity. That is, u = √(2gR)
But g = GM / R² ⇒ u = √(2 . GM / R² . R)
√( 2GM / R)

AIPMT2011M
admin:

Related Questions

  1. A particle is dropped vertically from rest, from a height.The time taken by it to fall
  2. The drift velocity of the electrons in a copper wire of length 2 m under
  3. The potential difference applied to an X-ray tube is 5 kV and the current through it
  4. The radius of a nucleus of mass number A is directly proportional to
  5. A block is moving up an inclined plane of inclination 60° with velocity of 20 ms⁻¹