$T = 2\pi\sqrt{\frac{L}{g}}$
$$T' = 2\pi\sqrt{\frac{1.21L}{g}} = T\sqrt{1.21} = 1.1T$$
Verified 30 May 2026.
A simple pendulum has time period $T$. If its length is increased by $21\%$, the new time period is:
$1.1T$
$1.21T$
$T\sqrt{1.21}$
$T/1.1$
$T = 2\pi\sqrt{\frac{L}{g}}$
$$T' = 2\pi\sqrt{\frac{1.21L}{g}} = T\sqrt{1.21} = 1.1T$$
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