The energy density u is plotted against the distance r from the centre of a spherical charge distribution on a log-log scale. Find the magnitude of slope of obtained straight line.

If the law of gravitation be such that the force of attraction between two particles vary inversely as the 5//2^(th) powr of their separation then the graph of orbital velocity v_(0) plotted against the distance r of a satellite from the earth's centre on a log-log scale is shown alongside the slope oline will be

If the law of gravitation be such that the force of attraction between two particles vary inversely as the 5//2^(th) powr of their separation then the graph of orbital velocity v_(0) plotted against the distance r of a satellite from the earth's centre on a log-log scale is shown alongside the slope oline will be

A solid sphere of radius R has total charge Q. The charge is distributed in spherically symmetric manner in the sphere. The charge density is zero at the centre and increases linearly with distance from the centre. (a) Find the charge density at distance r from the centre of the sphere. (b) Find the magnitude of electric field at a point ‘P’ inside the sphere at distance r_1 from the centre.

If the law of gravitation be such that the force of attraction between two particles varies inversely as the 5//2^(th) powr of their separation then the graph of orbital velocity v_(0) plotted against the distance r of a satellite from the earth's centre on a log-log scale is shown. The slope of line will be

The magnitude of gravitational potential energy of a body at a distance r from the centre of earth is u. Its weight at a distance 2r from the centre of earth is