NEET Physics Gravitation MCQs

Two asteroids, A and B, orbit the Sun with periods $T_A$ and $T_B$ respectively, where $T_A = 2T_B$. Let $a_A$ and $a_B$ be their respective semi-major axes. If asteroid A has an orbital eccentricity of 0.2, what is the maximum possible eccentricity of asteroid B?

A particle is projected from the surface of a non-rotating planet of radius R with escape velocity. Neglecting atmospheric resistance, which of the following best describes the path of the particle?

Two satellites, A and B, are orbiting Earth at the same altitude. Satellite A has twice the mass of satellite B. Which statement is true about their orbital periods?

A satellite is in a circular orbit around a planet. If its kinetic energy is doubled, and assuming no external forces act on it, what will happen to its orbital radius?

Two spherical shells of masses $M$ and $2M$ and radii $R$ and $2R$ respectively are placed with their centres separated by a distance $5R$. A particle of mass $m$ is placed initially at the centre of the smaller shell. The minimum work required to move the particle to the centre of the larger shell is:

Consider a planet orbiting a star in an elliptical orbit. The planet's mass is significantly smaller than the star's mass. Which of the following statements BEST describes the planet's kinetic energy during its orbit?

A double star system consists of two stars A and B which have time period ${T_A}\;{\rm{and\;}}{{\rm{T}}_{\rm{B}}}$. Radius ${R_A}\;{\rm{and\;}}{R_B}$ and mass ${M_A}\;{\rm{and\;}}{M_B}$. Choose the correct option.

A particle of mass m is moving in a horizontal circle of radius r,under a centripetal force $= \frac{k}{{{r^2}'}}\;{\rm{where\;}}k{\rm{\;is\;a\;constant}}.$

The ratio of acceleration due to gravity at a height $h$ above the surface of the earth and at a depth $h$ below the surface of the earth for $h < \; <$ radius of earth

The weight of an object in the coal mine, sea level, at the top of the mountain are ${W_1},\;{W_2}\,and\,{W_3}$ respectively, then