Q.

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          [2025]

1 A is true but R is false  
2 Both A and R are true but R is NOT the correct explanation of A  
3 Both A and R are true and R is the correct explanation of A  
4 A is false but R is true  

Ans.

(2)

Assertion is correct as central forces are conservative in nature, i.e., work done is independent of path.

Reason is true as some forces in mechanics like, friction are non-conservative because work done depends on path and only conservative forces have an associated potential energy.

Also, reason does not explain assertion.