The time period of a satellite in a circular orbit of radius R is T. The period of another satellite in a circular orbit of radius 4R is:
1. 4T
2.
3. 8T
4.
Gravitation is the phenomenon of interaction between:
1. Point masses only
2. Any arbitrarily shaped masses
3. Planets only
4. None of these
The Force of gravitation between two masses is found to be F in a vacuum. If both the masses are dipped in water at the same distance, then the new force will be:
1. >F
2. <F
3. F
4. Cannot say
Two-point masses m and 4m are separated by a distance d on a line. A third point mass m0 is to be placed at a point on the line such that the net gravitational force on it is equal to zero.
The distance of that point from the mass m is:
1.
2.
3.
4.
Three particles A, B and C, each of mass m are lying at the corners of an equilateral triangle of side L. If particle A is released keeping the particles B and C fixed, the magnitude of the instantaneous acceleration of A is:
1.
2.
3.
4.
A uniform sphere of mass M and radius R is surrounded by a concentric spherical shell of the same mass but radius 2R. A point mass m is kept at a distance x (>R) in the region bounded by the spheres as shown in the figure. The net gravitational force on that particle is:
1.
2.
3.
4. Zero
The gravitational constant depends upon:
1. Size of the bodies
2. Gravitational masses
3. Distance between the bodies
4. None of these
Two planets have the same density but different radii. The acceleration due to gravity would be:
1. same on both planets.
2. greater on the smaller planet.
3. greater on the larger planet.
4. dependent on the distance of the planet from the sun.
If the radius of the earth shrinks by 1.5% (mass remaining the same), then the value of the gravitational acceleration changes by:
1. 2%
2. -2%
3. 3%
4. -3%
If the density of a planet is double that of the earth and the radius is 1.5 times that of the earth, the acceleration due to gravity on the surface of the planet is:
1. times that on the surface of the earth.
2. 3 times that on the surface of the earth.
3. times that on the surface of the earth.
4. 6 times that on the surface of the earth.