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NEET UG PHYSICS MCQ: GRAVITATION

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Application +4 | -1

The ratio of the accelerations due to gravity on two planets

P_1 \& P_2

is

K_1

. The ratio of their respective radii is

K_2

. The ratio of their respective escape velocities is

View answer and explanation

Correct option: A

\sqrt{k_1 k_2}

Option A (

\sqrt{k_1 k_2}

) is correct because escape velocity is proportional to the square root of the product of g and R.

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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 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 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.