A force \( F(x) \) is conservative, if I. it can be derived from a scalar quantity \( V(x) \). I...

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A force \( F(x) \) is conservative, if
I. it can be derived from a scalar quantity \( V(x) \).
II. it depends only on the end points.
III. work done by \( F(x) \) in a closed path is zero.
Which of the above statement(s) is/are correct?
(a) Only I
(b) Both I and III
(c) Only II
(d) I, II and III
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