This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement - 1: For a charged particle moving from point P to point Q , the net work done by an electrostatic field on the particle is independent of the path connecting point to point .
Statement-2: The net work done by a conservative force on an object moving along a closed loop is zero
Statement - 1: For a charged particle moving from point P to point Q , the net work done by an electrostatic field on the particle is independent of the path connecting point to point .
Statement-2: The net work done by a conservative force on an object moving along a closed loop is zero
- (A)Statement-1 is true, Statement-2 is false
- (B)Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.✓ Correct
- (C)Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.
- (D)Statement-1 is false, Statement-2 is true
Answer: (B)
Solution
Both statements are correct, and the second is precisely the reason the first holds. The electrostatic force is a conservative force, and for any conservative force the work taken round a closed loop is zero; that closed-loop property is mathematically the same as saying the work between two points does not depend on the path chosen. So the path-independence of the work from P to Q follows directly from the vanishing of the work over a closed loop.
JEE Main · 2009 · 12 Apr 2009 · Offline · Single correct option