TS EAMCET Gravitation — practice questions
90 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAMCET Gravitation in the app →The universal gravitational constant $G$ has the SI value approximately:For a satellite of mass $m$ orbiting Earth at radius $r$ (from the centre), the orbital velocity is:The escape velocity from the Earth's surface is approximately ($R = 6.4 \times 10^6$ m, $g = 9.8$ m/s²):Newton's law of gravitation states the force between two masses is:At the surface of Earth, acceleration due to gravity g equals:At the centre of the Earth, the value of g is:Escape velocity from Earth's surface is approximately:The first cosmic velocity (orbital velocity at Earth's surface) is approximately:At a height h above Earth's surface where h ≪ R, g' equals:At depth d below Earth's surface, g' equals:Gravitational potential energy of a mass m at the surface of Earth (taking U at infinity as zero):Time period T of a satellite in orbit of radius r around Earth is (Kepler's 3rd law):Acceleration due to gravity at the EQUATOR compared to that at the POLES:Gravitational field strength I (also called g) at distance r from a point mass M:For a satellite to be GEOSTATIONARY (stays over the same point on Earth), its orbital period must equal:Two masses 6 kg and 3 kg are 2 m apart. Gravitational force between them (G = 6.67 × 10⁻¹¹):If Earth shrinks to half its radius keeping mass constant, the new escape velocity becomes:Kepler's second law states that the line joining a planet to the sun sweeps equal areas in equal times. This iA satellite is in circular orbit at radius 2R from Earth's centre. Its orbital velocity in terms of v_surface Total energy of a satellite in circular orbit equals:Two planets orbit the same star with semi-major axes 1 AU and 4 AU. Ratio of their orbital periods T1 : T2 is:Escape velocity from a planet of mass M and radius R is v. From a planet of mass 4M and radius 2R, escape veloAt what height above Earth's surface is g reduced to half its surface value?A body falls from infinity to Earth's surface. Its velocity at the surface (in terms of escape velocity v_e):Two satellites of equal mass orbit Earth at radii r1 and r2 = 2r1. Ratio of their kinetic energies KE1 : KE2:Gravitational potential at the centre of a uniform spherical shell of mass M and radius R:A geostationary satellite orbits Earth at radius r_g. Another satellite orbits at radius r_g/4. Its period is The acceleration due to gravity on Moon (mass 1/81 Earth, radius 1/4 Earth) is approximately:Gravitational PE of a 2 kg mass at altitude 2R above Earth's surface (g at surface = 10, R = 6400 km):At what point on the line joining Earth and Moon is the net gravitational field zero? (M_E = 81 M_moon)Total mechanical energy of a satellite escaping Earth from low orbit at radius R is:Kepler derived his three laws by analysing naked-eye planetary records compiled by whom?For Earth's orbit, the ratio of semi-minor to semi-major axis b/a is closest to:Kepler's second law follows from angular momentum conservation, which holds for:For a planet orbiting the Sun, which is NOT conserved?An astronaut in orbit feels weightless because:A body placed inside a hollow metal sphere is shielded from the gravity of outside masses:The gravitational force between two arbitrary finite rigid bodies is:The familiar expression mgh for gravitational potential energy is:In which year did Henry Cavendish first measure the gravitational constant G?The conventional value of standard gravity g_n, fixed by the CGPM in 1901, is:An object at sea level weighs roughly how much more at the poles than at the Equator?Besides Earth's spin, what lowers g at the Equator?Local changes in g caused by mountains and rock density are called:What is the measurement of Earth's gravity called?Dense ore-bearing rock below a site makes local g:Apart from m/s², acceleration due to gravity can also be expressed in:A rock weighs 72 N on Earth's surface. Its weight at height R_E/2 above the surface is:For a uniform-density Earth, a 100 N body taken to depth R_E/4 weighs:What minimum launch speed lets a body leave Earth for good?A rocket leaves Earth at three times the escape speed. Its speed far from Earth is about?A satellite in a circular orbit has kinetic energy 5 MJ. What is the magnitude of its potential energy?What is the sign of the total energy of an orbiting satellite?What is the gravitational force on a particle inside a uniform hollow spherical shell?Can a hollow shell shield a body inside it from outside gravitational pulls?For a particle outside a spherically symmetric body, the body's pull acts as if its mass were?Changing the arbitrary constant in gravitational potential energy changes the gravitational force by?For a satellite in an elliptical orbit, the orbital radius in the period formula is replaced by the?In an elliptical satellite orbit, the total mechanical energy is?Kepler's first law says a planet's orbit around the Sun is a(n)?A line joining a planet and the Sun sweeps equal areas in equal times. This is Kepler's?According to Kepler's second law, when is a planet moving fastest?Kepler's third law relates a planet's orbital period T to its semi-major axis a as?A planet orbits at 4 times Earth's distance from the Sun. Its period is about how many Earth years?One planet has an orbital period 8 times that of another around the same star. Their orbital radius ratio is?Kepler's third law implies that the farther a planet is from the Sun, the?Kepler's laws were derived mainly from whose precise observations?Kepler's analysis of which planet's orbit first showed that orbits are elliptical?In which work did Kepler publish his third law, in 1619?Kepler's laws replaced which feature of Copernicus's model?Kepler noted in 1621 that his third law also fits the four brightest moons of which planet?Newton's law says gravitational force varies as?If the separation of two bodies is tripled, their mutual attraction becomes?Both masses and their separation are doubled. The gravitational force between them?One mass is tripled and the distance is also tripled. The force becomes?A uniform sphere attracts outside objects as if its mass were?Newton's Principia, which stated the law of gravitation, was first published in?In SI base units, the universal gravitational constant G has units of?Which experiment gave the first laboratory test of gravitation between masses?Newton's gravitation law resembles which electrical law, as both are inverse-square laws?Newton's law of gravitation was later superseded by whose theory?Newtonian gravity cannot fully explain the perihelion precession of which planet?Inside a spherical mass, what do layers beyond radius r0 produce at r0?Newton tested his inverse-square form using the period and distance of which orbit?Kepler's second law, Newton showed, holds for any force that is?Escape speed is the minimum speed needed for an object to?The escape speed from Earth's surface is about 11.2 km/s. In km/h this is?Gravitational acceleration is the acceleration of an object in?Within one gravitational field, how do bodies of different mass accelerate in vacuum?The force each of two masses exerts on the other is?