NEET UG PHYSICS MCQ: GRAVITATION

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : The escape velocities of planet

A

and

B

are same. But

A

and

B

are of unequal mass.
Reason R : The product of their mass and radius must be same,

{M_1}{R_1} = \mathrm{ }{M_2}{R_2}

In the light of the above statements, choose the most appropriate answer from the options given below.

View answer and explanation

Correct option: B

A is correct but R is not correct.

Option B (A is correct but R is not correct) is correct. Assertion A can be true if the ratio of mass to radius is the same for both planets. Reason R is incorrect because escape velocity depends on 2GM/R, so M/R should be same, not M*R.

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.