The distance of two planets from the sun are 10^{13} and 10^{12} metres respectively. The ratio of time periods of these two planets is [1988]
The largest and the shortest distance of the earth from the sun are r_{1} and r_{2}. Its distance from the sun when it is at perpendicular to the majoraxis of the orbit drawn from the sun is [1988]
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If the gravitational force between two objects were proportional to 1/R (and not as 1/R^{2}) where R is separation between them, then a particle in circular orbit under such a force would have its orbital speed v proportional to [1989]
For a satellite escape velocity is 11 km/s. If the satellite is launched at an angle of 60° with the vertical, then escape velocity will be [1989]
A planet is moving in an elliptical orbit around the sun. If T, V, E and L stand respectively for its kinetic energy, gravitational potential energy, total energy and magnitude of angular momentum about the centre of force, which of the following is correct ? [1990]
A satellite of mass m is orbiting around the earth in a circular orbit with a velocity v. What will be its total energy? [1991]
A seconds pendulum is mounted in a rocket. Its period of oscillation decreases when the rocket [1991]
The mean radius of earth is R, its angular speed on its own axis is ω and the acceleration due to gravity at earth's surface is g. What will be the radius of the orbit of a geostationary satellite ? [1992]
A satellite A of mass m is at a distance of r from the surface of the earth. Another satellite B of mass 2m is at a distance of 2r from the earth’s centre. Their time periods are in the ratio of [1993]
The escape velocity from earth is 11.2 km/s. If a body is to be projected in a direction making an angle 45° to the vertical, then the escape velocity is[1993]
The distance of Neptune and Saturn from the sun is nearly 10^{13} and 10^{12} meter respectively.Assuming that they move in circular orbits, their periodic times will be in the ratio [1994]
A satellite in force free space sweeps stationary interplanetary dust at a rate dM/dt = αv where M is the mass and v is the velocity of the satellite and α is a constant. What is the deceleration of the satellite? [1994]
The escape velocity from the surface of the earth is ve.The escape velocity from the surface of a planet whose mass and radius are three times those of the earth, will be [1995]
What will be the formula of the mass in terms of g, R and G (R = radius of earth) [1996]
A ball is dropped from a satellite revolving around the earth at a height of 120 km. The ball will [1996]
The period of revolution of planet A around the Sun is 8 times that of B. The distance of A from the Sun is how many times greater than that of B from the Sun? [1997]
The escape velocity of a body on the surface of the earth is 11.2 km/s. If the earth’s mass increases to twice its present value and the radius of the earth becomes half, the escape velocity would become [1997]
The escape velocity of a sphere of mass m is given by (G = Universal gravitational constant; M = Mass of the earth and R_{e }= Radius of the earth) [1999]
The escape velocity on the surface of earth is 11.2 km/s. What would be the escape velocity on the surface of another planet of the same mass but 1/4 times the radius of the earth? [2000]
A body weighs 72 N on the surface of the earth.What is the gravitational force on it due to earth at a height equal to half the radius of the earth from the surface? [2000]
Assuming earth to be a sphere of uniform density, what is the value of ‘g’ in a mine 100 km below the earth’s surface? (Given, R = 6400 km) [2001]
The potential energy of a satellite, having mass m and rotating at a height of 6.4 × 10^{6}m from the earth surface, is [2001]
With what velocity should a particle be projected so that its height becomes equal to radius of earth? [2001]
Assuming the radius of the earth as R, the change in gravitational potential energy of a body of mass m, when it is taken from the earth's surface to a height 3R above its surface, is [2002]
The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2m on the surface of A. What is the height of jump by the same person on the planet B? [2003]
Two spheres of masses m and M are situated in air and the gravitational force between them is F.The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be [2003]
The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R, the radius of the planet would be
Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g’, then [2005]
For a satellite moving in an or bit ar ound the earth, the ratio of kinetic energy to potential energy is [2005]
The Earth is assumed to be a sphere of radius R.
A platform is arranged at a height R from the surface of the Earth. The escape velocity of a body from this platform is fv, where v is its escape velocity from the surface of the Earth.
The value of f is [2006]
9 docs1272 tests

9 docs1272 tests
