NEET Previous Year Questions: Gravitation - 2 - NEET MCQ

A spherically symmetric gravitational system of particles has a mass density

where r₀ is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed V as a function of distance r (0 < r < ∞) from the centre of the system is represented by

[JEE 2008]

 STATEMENT-1

An astronaut in an orbiting space station above the Earth experiences weightlessness. 

and           

STATEMENT-2

An object moving around the Earth under the influence of Earth's gravitaitonal force is in a state of `free-fall'.

[JEE 2008]

A thin uniform annular disc (see figure) of mass M has outer radius 4 R and inner radius 3R. The work required to take a unit mass from point P on its axis to infinity is 

[jee 2010]

A binary star consists of two stars A (mass 2.2 M_s) and B (mass 11 M_s), where M_s is the mass of the sun. They are separated by distance d and are rotating about their center of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star B about the center of mass is. 

 [jee 2010]

Gravitational acceleration on the surface of a planet is  where g is the gravitational acceleration on the surface of the earth. The average mass density of the planet is 2/3 times that of the earth. If the escape speed on the surface of the earth is taken to be 11 kms^-1, the escape speed on the surface of the planet in kms^-1 will be

[jee 2010]

A satellite is moving with a constant speed 'V' in a circular orbit about the earth. An object of mass 'm' is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its ejection, the kinetic energy of the object is 

[jee 2011]

Two spherical planets P and Q have the same uniform density , masses M_pand M_Q, and surface areas A and 4A, respectively. A spherical planet R also has uniform density and its mass is (M_P + M_Q). The escape velocities from the planets P, Q and R, are V_p, V_{Q and} V_R,respectively. Then

  [jee 2012]

Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projected from the midpoint of the line joining their centres, perpendicular to the line. The gravitational constant is G. The correct statement(s) is (are) 

[jee 2013]