A planet is moving in elliptical orbit around the sun. If T, U, E and L stand 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?
T is conserved
U is always positive
E is always negative
L is conserved but direction of vector L changes continuously
A seconds pendulum is mounted in a rocket. Its period of oscillation decreases when the rocket
comes down with uniform acceleration.
moves round the earth in a geostationary orbit.
moves up with a uniform velocity
moves up with uniform acceleration
What will be the formula of the mass in terms of g, R and G? (R = radius of earth)
g2 R/G
G R2/g
G R/g
g R2/G
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
3F
F