Question 1 :
Find out the correct relation for the dependance of change in acceleration due to gravity on the angle at the latitude due to rotation of earth?<br/>

Question 2 :
The distance between the Sun and the Earth is $r$ and the Earth takes time $T$ to make one complete revolution around the Sun. Assuming the orbit of the Earth around the Sun to be circular, the mass of the Sun will be proportional to

Question 3 :
The work done in shifting a particle of mass $m$ from the centre of earth to the surface of the earth is<br>

Question 4 :
At what depth from the surface of the earth (in terms of the radius of earth) the acceleration due to gravity will be: $\dfrac {2g}{5}$?

Question 5 :
Density remaining constant, if earth contracts to half of its present radius, duration of the day would be (in minutes)

Question 6 :
At what height the acceleration due to gravity will be reduced to $36\%$ of its value on the surface of the earth?

Question 7 :
A space ship is launched into a circular orbit close to the surface of the earth. The additional velocity now imparted to the spaceship in the orbit to overcome the gravitational pull is

Question 8 :
Assertion: On satellites we feel weightlessness. Moon is also a satellite of earth. But we do not feel weightlessness on moon. Reason: Mass of moon is considerable.

Question 9 :
A particle of mass 1kg is placed at a distance of 4m from the centre and on the axis of a uniform ring of mass 5kg and radius 3m. The work done to increase the distance of the particle from 4m to $\sqrt{3}m$ is.<br>

Question 10 :
An artificial satellite of mass $m $&#160;is moving in circular orbit at a height equal to the radius $R$ of the earth. Suddenly due to internal explosion the satellite breaks into two parts of equal pieces. One part of the&#160;satellite stops just after the explosion. The increase in the mechanical energy of the system due to&#160;explosion will be (Given: acceleration due to gravity on the surface of earth is $g$)