Question 32
SoundThe note produced by a stretched string has a fundamental frequency of 400 Hz. If the length of the string is doubled while the tension in the string is increased by a factor of 4, the frequency is
- A.200 Hz
- B.400 Hz
- C.800 Hz
- D.1600 Hz
Show the answer and explanation
Answer: B (400 Hz)
Explanation
f ∝ √T/L. Multiplying T by 4 doubles f, and doubling L halves it, so f stays 400 Hz.