NEET UG PHYSICS MCQ: GRAVITATION

1 Hard

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Application +4 | -1

A projectile is fired upwards from the surface of the earth with a velocity

k{V_e}

where

{V_e}

is the escape and

K < 1

. If r is the maximum distance from the center of the earth to which it rises and R is the radius of the earth then r equals

View answer and explanation

Correct option: B

\frac{R}{{1 - {k^2}}}

Option B (

\frac{R}{{1 - {k^2}}}

) is correct because it is derived from the conservation of energy, relating the initial kinetic energy to the final potential energy at the maximum distance.

More Questions from GRAVITATION

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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.