JAMB Physics 1994 Question 32

Question 32

Sound

The 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

  1. A.200 Hz
  2. B.400 Hz
  3. C.800 Hz
  4. 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.