NEET UG PHYSICS MCQ: GRAVITATION

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Analyzing +4 | -1

Suppose the law of gravitational attraction suddenly changes and becomes an inverse cube law i.e.

F \propto \frac{1}{r^3}

, but still remaining a central force. Then

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Correct option: A

Kepler's law of area still holds

Option A (Kepler's law of area still holds) is correct because Kepler's second law (law of areas) is a consequence of conservation of angular momentum, which holds for any central force.

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If a particle of mass m is moving in a horizontal circle of radius r with a centripetal force

\left( { - K/{r^2}} \right)

the total energy is Two satellites A and B go round a planet P is circular orbits having radii 16 R and 2 R respectively. If the speed of satellite A is

6\,m{s^{ - 1}}

the speed of the satellite B will be [in m/s] nearly The total energy of satellite moving with an orbital velocity

v

around the earth is Two satellites of same mass are launched in the same orbit of radius

r

around the earth so as to rotate opposite to each other. If they collide inelastically and stick together as wreckage, the total energy of the system just after collision is Statement-1: There is almost no effect of rotation of earth at poles.
Statement-2: Because rotation of earth is about polar axis. The escape velocity of a body on the surface of an imaginary planet which has thrice the radius as of earth and double the mass of earth, is (

{v_e}

is the escape velocity at the surface of earth)