Two planets have masses M and 16M and their radii are a and 2a, respectively. The separation between the centres of the planets is 10a. A body of mass m is fired from the surface of the larger planet towards the smaller planet along the line joining their centres. For the body to be able to reach at the surface of smaller planet, the minimum firings speed needed is:

When a soap bubble is illuminated by source of white light, it appears coloured. This is due to

If the earth suddenly stop rotating, the value of ‘g’ at the equator would

Energy required to shift a body of mass m from an orbit of radius 2R to 3R is (mass of planet is M)

The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If speed of satellite A is 2V, then the speed of satellite B will be

A wire can be broken by a load of 20 kg-wt. The force required to break wire of same material with twice the diameter will be