Which expression gives the period of a simple pendulum?

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Multiple Choice

Which expression gives the period of a simple pendulum?

Explanation:
For a simple pendulum with small swings, its motion is effectively simple harmonic. The angular frequency is ω = sqrt(g/L), so the period, which is how long one full swing takes, is T = 2π/ω = 2π sqrt(L/g). This shows why longer pendulums take more time and why increasing gravity makes them swing faster. This is the expression that directly gives the period. The other forms shown correspond to frequency or mix up factors and units: frequency is f = (1/2π) sqrt(g/L), and the other options either miss the 2π factor or have the ratio inverted, which would not have the correct dimensions.

For a simple pendulum with small swings, its motion is effectively simple harmonic. The angular frequency is ω = sqrt(g/L), so the period, which is how long one full swing takes, is T = 2π/ω = 2π sqrt(L/g). This shows why longer pendulums take more time and why increasing gravity makes them swing faster.

This is the expression that directly gives the period. The other forms shown correspond to frequency or mix up factors and units: frequency is f = (1/2π) sqrt(g/L), and the other options either miss the 2π factor or have the ratio inverted, which would not have the correct dimensions.

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