Breaking strength of a wire is 105 N if its diameter is halved,what is the strength?
Correct answer: C. 1 x 10^5
- A. 4 x 10^5
- B. 2 x 10^5
- C. 1 x 10^5
- D. None of these
Explanation
The breaking strength of a wire is directly proportional to itscross-sectional area. When the diameter of the wire ishalved, the cross-sectional area is reduced by a factor offour (since the area is proportional to the square of thediameter). Therefore, the breaking strength also reduces bya factor of four, resulting in a new breaking strength of 1×105N.
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