Problem: Waves #1

The frequency of oscillation of a simple pendulum is f₁. When the length of the pendulum l is increased to 2l, the frequency of oscillation of the simple pendulum is f₂. The value of the ratio f₁/f₂ is


Solution

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The answer is D.

The formula for the periodic time, T of a simple pendulum is given by

and we know that


Therefore, the formula for f of a simple pendulum is given by


Now we know that*

[* refer to this article]

Moving on,



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Question source: Malaysia National Physics Competition Panel