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my dear buddy..aditya....conservative force is a force where workdone in a closed loop is zero...but this a definition...and sometimes hard to comphrehend...so let us simplify it....consider a closed figure (u can consider a deformed circle but it should be closed)...suppose a particle is located in that point...name it as A...if now a conservative force like gravitational force(i will tell u later why this is a conservative force)...makes the particle move around the closed figure..i mean to say a full round is taken...and again it comes back to original point from where it started that is A ...then workdone will be zero....

now let us see why gravitation is a conservative force.....u certainly know the formula of  gravitatioal potential energy difference...between two point.if not see ncert textbook gravitation chapter pg 192 lower left side eqn.no 8.24..in this equation if u put r1 and r2 as equal to same value r(since u return to same point)...then potential difference become zero..that is workdone is zero...therefore workdone in closed loop is zero by a gravitation force..n thats y it is conservative...

now if u want to use higher mathematics to determine if a force is conservative or not...the use formula( del operator cross force)....if its value comes to be zero..then force is conservative and if not then it is not conservative...

most of the central forces are conservative like gravitation and electrostatic...and elastic force...now u will ask what is central force....in short central force is one which act towards a point....along the force direction....

HOPE U LIKE IT...IF NOT ASK ME AGAIN....

A conservative force is a force with the property that the work done in moving a particle between two points is independent of the path taken. Equivalently, if a particle travels in a closed loop, the net work done (the sum of the force acting along the path multiplied by the distance travelled) by a conservative force is zero.

It is possible to define a numerical value of potential at every point in space for a conservative force. When an object moves from one location to another, the force changes the potential energy of the object by an amount that does not depend on the path taken.

Gravity is an example of a conservative force, while friction is an example of a non-conservative force.

Conservative Force

A conservative force is a force that acts on a particle, such that the work done by this force in moving this particle from one point to another is independent of the path taken. To put it another way, the work done depends only on the initial and final position of the particle (relative to some coordinate system). Two examples of conservative forces are gravitational forces and elastic spring forces.