A fundamental note of frequency 250 Hz is produced by a wire of length 105 cm by 1 kg wt. When stretched by a force of 3 kg wt its pitch is raised by a major tone. Determine the increase in its length.

Explanation

To solve the problem step by step, we will follow the outlined approach based on the information provided in the question.

### Step 1: Identify Given Data
- Initial frequency (f1) = 250 Hz
- Initial length (L1) = 105 cm
- Initial tension (T1) = 1 kg wt = 980 dynes (1 kg wt = 1000 g * 9.8 m/s² = 980 dynes)
- New tension (T2) = 3 kg wt = 2940 dynes (3 kg wt = 3 * 980 dynes)
- The pitch is raised by a major tone, which means the new frequency (f2) = (9/8) * 250 Hz = 281.25 Hz
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