Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$: In a central force field,the work done is independent of the path chosen.
Reason $R$: Every force encountered in mechanics does not have an associated potential energy.
In the light of the above statements,choose the most appropriate answer from the options given below:

• A
  $A$ is true but $R$ is false
• B
  Both $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
• C
  Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
• D
  $A$ is false but $R$ is true