Question

Assertion (A): A non conservative force (F) can be given by the relation $F=-\frac{du}{dx}$
Reason (R) : Work done by the conservative force is independent of the path followed

• A. A and R are correct and R is the correct explanation of A
• B. A and R are correct and R is not the correct explanation A
• C. A is true and R is false
• D. A is false and R is true

Answer 1

The correct option is D A is false and R is true

The work done by a non-conservative force does depend upon the path taken. For example when we pull an object on a rough surface the pull depends on the surface or in other words the friction. The path determines the force with the object is pulled.
But the work done by a conservative force does not depend upon the path taken. For example, gravity acting on a body does not depend on the path.
Hence, Assertion (A): Wrong
Reason (R) :Correct