The field is said to be conservative if the work done along a closed path is

A. Zero
B. Negative
C. Positive
D. Infinity

A. Zero

The correct answer is:

A. Zero

A field is considered conservative if the work done moving along any closed path (a path that starts and ends at the same point) depends only on the starting and ending points, and not on the specific path taken between those points. In other words, the work done for a round trip in a conservative field is zero.

Here’s why the other options are incorrect:

  • B. Negative: The work done can be positive or negative depending on the specific force and path, but in a conservative field, a closed path will always result in zero net work done.
  • C. Positive: Similar to negative, the work done can be positive, but for a closed path in a conservative field, it will always sum up to zero.
  • D. Infinity: The work done wouldn’t necessarily be infinite. It depends on the specific force and path. In a conservative field for a closed path, it will always be zero.
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