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Which of the following will reduce the frequency of oscillation of a simple pendulum?

Physics
WAEC 2025

Which of the following will reduce the frequency of oscillation of a simple pendulum?

  • A. Increasing the mass of the bob
  • B. Decreasing the length of the string
  • C. Increasing the length of the string
  • D. Decreasing the mass of the bob.
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Correct Answer: Option C
Explanation

The frequency (f) of a simple pendulum is the number of oscillations it completes per second and is given by the formula: f = \(\frac{1}{2\pi}\)\(\sqrt{\frac{\text{g}}{\text{l}}}\)

where l is the length of the string and g is the acceleration due to gravity. Because the length l is in the denominator, the frequency is inversely proportional to the square root of the length. Therefore, increasing the length results in a slower swing rate, effectively reducing the frequency. 


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