Breaking strength of a wire is 4 x 10^5 N if its diameter is halved, what is the strength?
Correct answer: C. 1 x 10^5N
- A. 4 x 10^5N
- B. 2 x 10^5N
- C. 1 x 10^5N
- D. None
Explanation
The breaking strength of a wire is directly proportional to its cross-sectional area. When the diameter of the wire is halved, the cross-sectional area is reduced by a factor of four (since the area is proportional to the square of the diameter). Therefore, the breaking strength also reduces by a factor of four, resulting in a new breaking strength of 1x105N. Option A is incorrect because it assumes no change in strength, and Option B is incorrect because it assumes the strength is halved, not quartered. Option D is incorrect as it suggests no correct option exists, which is false.
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