A wire of diameter 1mm breaks under a tension of 1000 N. Another wire, of same material as that of the first one, but of diameter 2 mm breaks under a tension of

Explanation

The breaking tension of a wire is proportional to its cross-sectional area, which for a circular wire is given by the formula: Area = π(d/2)2. When the diameter of the wire doubles from 1 mm to 2 mm, the cross-sectional area increases by a factor of four (since (2/1)2 = 4). Therefore, the tension required to break the second wire is four times that of the first wire, resulting in a breaking tension of 4000 N. Option A (500 N) is incorrect because it incorrectly assumes a linear relationship with diameter. Option B (1000 N) is incorrect because it suggests no change in tension with increased diameter. Option C (10000 N) is incorrect because it overestimates the increase by assuming a linear relationship with area.