HARD
11th Tamil Nadu Board
IMPORTANT
Earn 100

Describe the measurement of Earth’s shadow (umbra) radius during total lunar eclipse

Important Questions on Gravitation

MEDIUM
11th Tamil Nadu Board
IMPORTANT
An unknown planet orbits the Sun with a distance twice the semi-major axis distance of the Earth’s orbit. If the Earth’s time period is T1, what is the time period of this unknown planet?
MEDIUM
11th Tamil Nadu Board
IMPORTANT

Assume that you are in another solar system and provided with the set of data given below consisting of the planets’ semi-major axes and time periods. Can you infer the relation connecting the semi-major axis and time period?

Planet
(imaginary)
Time period (T) (in year) Semi major
axis (a) (in AU)
Kurinji 2 8
Mullai 3 18
Marutham 4 32
Neithal 5 50
Paalai 6 72

 

MEDIUM
11th Tamil Nadu Board
IMPORTANT
If the masses and mutual distance between the two objects are doubled, what is the change in the gravitational force between them?
MEDIUM
11th Tamil Nadu Board
IMPORTANT
Two bodies of masses m and 4m are placed at a distance r. Calculate the gravitational potential at a point on the line joining them where the gravitational field is zero.
MEDIUM
11th Tamil Nadu Board
IMPORTANT
If the ratio of the orbital distance of two planets d1 d2=2, what is the ratio of  gravitational field experienced by these two planets?
HARD
11th Tamil Nadu Board
IMPORTANT
The Moon Io orbits Jupiter once in 1.769 days. The orbital radius of the Moon Io is 421700 km. Calculate the mass of Jupiter?
 
MEDIUM
11th Tamil Nadu Board
IMPORTANT
If the angular momentum of a planet is given by L=5t2i^6tj^+3k^ . What is the torque experienced by the planet? Will the torque be in the same direction as that of the angular momentum?
HARD
11th Tamil Nadu Board
IMPORTANT
Four particles, each of mass M and equidistant from each other, move along a circle of radius R under the  action of their mutual gravitational attraction. Calculate the speed of each particle.