Recent content by Somenath

y1 and y2 are linearly dependent if ay1 + by2 = c a,b,c= const. let, y1=\sumnxn+σ1 y1=\sumnxn+σ1 then ay1\sumnxn+σ1 + by1\sumnxn+σ1=c Since right hand side is const. , all the coefficients of the powers of x are zero. This is possible if one term arising in the first summation...

I mean the transformation relations between Potential and other energies are so designed that they seem to be equal.

Chemical energy libeated in a reaction is equivalent to the change in Potential energy due to the force of attraction among the atoms.

Pressure diference is due to gravity. The upper layers exert weight on the lower ones (through collision) and increase pressure. You can alternatively say that the molecules try to have lower potential energy state in the gravitational force field and gather in the lower region increasing...

But it cannot supply energy indefinitely. If you suck energy from it, it will stop.

Potential energy always has a source force field (nuclear/gravitational/electromagnetic). When we say that work is done, we should remember that it is only a mathematical quantity which is so defined that it can be equated with the change in Kinetic Energy. The expressions ∫F.ds can be...

Bernoulli's Theorem tells that pressure on the curved surface of the thin tube will be less than the pressure on the curved surface of the thick tube. It does not tell anything about the pressure exerted on the piston. It explains that a person on railway platform standing too close...