QuestionMay 23, 2025

Increasing the length of a pendulum causes its period to decrease. True False

Increasing the length of a pendulum causes its period to decrease. True False
Increasing the length of a pendulum causes its period to decrease.
True
False

Solution
3.2(136 votes)

Answer

False Explanation 1. Understand the Pendulum Period Formula The period T of a simple pendulum is given by **T = 2\pi \sqrt{\frac{L}{g}}**, where L is the length and g is the acceleration due to gravity. 2. Analyze the Relationship From the formula, as the length L increases, the value inside the square root \sqrt{\frac{L}{g}} increases, thus increasing the period T.

Explanation

1. Understand the Pendulum Period Formula<br /> The period $T$ of a simple pendulum is given by **$T = 2\pi \sqrt{\frac{L}{g}}$**, where $L$ is the length and $g$ is the acceleration due to gravity.<br /><br />2. Analyze the Relationship<br /> From the formula, as the length $L$ increases, the value inside the square root $\sqrt{\frac{L}{g}}$ increases, thus increasing the period $T$.
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