Given below are two statements :
Statement I: An object moves from position 
to position 
under a conservative force field 
. The work done by the force is 
.
Statement II: Any object moving from one location to another location can follow infinite number of paths. Therefore, the amount of work done by the object changes with the path it follows for a conservative force.
In the light of the above statements, choose the correct answer from the options given below :
Text Solution
Verified by ExpertsA
Statement I:
The work done by a force 
during a displacement from 
to 
is defined as 
.
The expression given in the statement, 
, is the definition of the change in potential energy ( 
), not the work done by the force itself.
Thus, Statement I is false.
Statement II:
By definition, a conservative force is one for which the work done in moving an object between two points is independent of the path taken.
It only depends on the initial and final positions.
Therefore, the claim that work done changes with the path for a conservative force is false.
Since both statements are false, the correct option is .
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