A spring is cut into 1:2, the spring constant of larger part will be.
Correct answer: C. 3/2 K
- A. 2K
- B. 3K
- C. 3/2 K
- D. 1/2 K
Explanation
When a spring is cut into parts, the spring constant for each part changes based on its length. The spring constant (k) is inversely proportional to the length of the spring (L), meaning k ∝ 1/L. If a spring with spring constant K is cut into two parts in the ratio of 1:2, the larger part is twice the length of the smaller part. Therefore, the spring constant of the larger part becomes 3/2 K. Option A (2K) and Option D (1/2 K) are incorrect as they suggest the spring constant is directly proportional to length, which it is not. Option B (3K) is incorrect due to a miscalculation.
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