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Gravitation

22 questions · Physics · JEE Advanced
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Gravitation

22 questions · Physics · JEE Advanced

  1. Consider a star of mass m2 kg revolving in a circular orbit around another star of mass m1 kg with m1 \gg m2. The heavier star slowly acquires mass from the lighter star at a constant rate of γ kg/s. In this transfer process, there…2025 · Shift 2 · Q36 · MCQ
  2. A geostationary satellite above the equator is orbiting around the earth at a fixed distance r1​ from the center of the earth. A second satellite is orbiting in the equatorial plane in the opposite direction to the earth's rotation, at a…2025 · Shift 2 · Q44 · Numerical
  3. A particle of mass m is under the influence of the gravitational field of a body of mass M(≫m). The particle is moving in a circular orbit of radius r0​ with time period T0​ around the mass M. Then, the particle is subjected…2024 · Shift 2 · Q36 · MCQ
  4. Two satellites P and Q are moving in different circular orbits around the Earth (radius R). The heights of P and Q from the Earth surface are hP​ and hQ​,…2023 · Shift 1 · Q41 · MCQ
  5. Two spherical stars A and B have densities ρA​ and ρB​, respectively. A and B have the same radius, and their masses MA​ and MB​ are related by MB​=2MA​. Due to an interaction process, star A loses…2022 · Shift 1 · Q37 · Numerical
  6. The distance between two stars of masses 3MS and 6MS is 9R. Here R is the mean distance between the centers of the Earth and the Sun, and MS is the mass of the Sun. The two stars orbit around their common center of mass in circular orbits…2021 · Shift 2 · Q56 · Numerical
  7. Consider a spherical gaseous cloud of mass density ρ(r) in free space where r is the radial distance from its center. The gaseous cloud is made of particles of equal mass m moving in circular orbits about the common center with the…2019 · Shift 1 · Q40 · MCQ
  8. A planet of mass M, has two natural satellites with masses m1​ and m2​. The radii of their circular orbits are R1​ and R2​ respectively, Ignore the gravitational force between the satellites. Define v1​,L1​,K1​… Includes table2018 · Shift 2 · Q50 · MCQ
  9. A rocket is launched normal to the surface of the Earth, away from the sun, along the line joining the Sun and the Earth. The Sun is 3×105 times heavier than the earth and is at a distance 2.5×104 times larger than…2017 · Shift 2 · Q42 · MCQ
  10. A bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it reaches its maximum height, its acceleration due to the planet’s gravity is (41​)th of its value at the…2015 · Shift 1 · Q44 · Numerical
  11. A large spherical mass M is fixed at one position and two identical masses m are kept on a line passing through the centre of M (see figure). The point masses are connected by a rigid massless rod of length l and this assembly is free to… Includes diagram2015 · Shift 2 · Q51 · Numerical
  12. A planet of radius R = 101​×(radius of Earth) has the same mass density as Earth. Scientists dig a well of depth 5R​ on it and lower a wire of the same length and of linear mass density 10-3 kg m-1 into it. If…2014 · Shift 2 · Q44 · MCQ
  13. Two bodies, each of mass M, are kept fixed with a separation 2L. A particle of mass m is projected from the midpoint of the line joining their centres, perpendicular to the line. The gravitational constant is G. The correct statement(s)…2013 · Shift 2 · Q42 · Multiple correct
  14. Two spherical planets P and Q have the same uniform density r, masses MP and MQ and surface areas A and 4A respectively. A spherical planet R also has uniform density r and its mass is (MP + MQ). The escape velocities from the planets P, Q…2012 · Shift 2 · Q47 · Multiple correct
  15. A satellite is moving with a constant speed ‘V’ in a circular orbit about the earth. An object of mass ‘m’ is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its ejection, the…2011 · Shift 2 · Q45 · MCQ
  16. A binary star consists of two stars A (mass 2.2Ms) and B (mass 11Ms), where Ms is the mass of the sun. They are separated by distance d and are rotating about their centre of mass, which is stationary. The ratio of the total angular…2010 · Shift 1 · Q60 · Numerical
  17. Gravitational acceleration on the surface of a planet is 116​​g, where g is the gravitational acceleration on the surface of the earth. The average mass density of the planet is 32​ times that of the earth.…2010 · Shift 1 · Q61 · Numerical
  18. A thin uniform annular disc (see figure) of mass M has outer radius 4R and inner radius 3R. The work required to take a unit mass from point P on its axis to infinity is Includes diagram2010 · Shift 1 · Q71 · MCQ
  19. Column II shows five systems in which two objects are labelled as X and Y. Also in each case a point P is shown. Column I gives some statements about X and/or Y. Match these statements to the appropriate system(s) from Column II: Includes table Includes diagram2009 · Shift 1 · Q59 · MCQ
  20. A spherically symmetric gravitational system of particles has a mass density ρ={ρ0​0​forfor​r≤Rr>R​ Where ρ0​ is a…2008 · Shift 1 · Q52 · MCQ
  21. STATEMENT - 1 An astronaut in an orbiting space station above the Earth experiences weightlessness. and STATEMENT - 2 An object moving around the Earth under the influence of Earth's gravitational force is in a state of 'free-fall'.2008 · Shift 1 · Q58 · MCQ
  22. Some physical quantities are given in Column I and some possible SI units in which these quantities may be expressed are given in Column II. Match the physical quantities in Column I with the units in Column II and indicate your answer by… Includes table2007 · Shift 1 · Q62 · MCQ