What is the length of second's pendulum where g is $980 c m s^{- 2}$ ?

102.4 cm

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99.2 cm

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88 cm

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78 cm

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Solution

The correct option is C 99.2 cm

A seconds pendulum is a pendulum whose period is precisely two seconds; one second for a swing in one direction and one second for the return swing. i.e.
$T = 2 s$
and $T = 2 π \sqrt{\frac{l}{g}} \Rightarrow l = \frac{T^{2} g}{4 π^{2}} = \frac{2^{2} \times 980}{4 π^{2}} = 99.29 c m ≅ 99.2 c m$

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What is the length of second's pendulum where g is 980cms−2?

The correct option is C 99.2 cm A seconds pendulum is a pendulum whose period is precisely two seconds; one second for a swing in one direction and one second for the return swing. i.e. T=2sand T=2π√lg⇒l=T2g4π2=22×9804π2=99.29cm≅99.2cm

What is the length of second's pendulum where g is $980 c m s^{- 2}$ ?