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Question

Question: The length of a seconds pendulum is...

The length of a seconds pendulum is

A

99.8 cm

B

99 cm

C

100 cm

D

None of these

Answer

99 cm

Explanation

Solution

T=2πl/gl=gT24π2=9.8×44×π2=996mucmT = 2\pi\sqrt{l/g} \Rightarrow l = \frac{gT^{2}}{4\pi^{2}} = \frac{9.8 \times 4}{4 \times \pi^{2}} = 99\mspace{6mu} cm