Solution)
Given,
Time Period, T1=2s
Time Period, T2=1.99869 s
We know,
T1=2pi*(L/g1)
On squaring both sides,
L=T1^2*g1/4pi^2
Also, T2^2= 4pi^2*L/g2
So, L=(T2^2*g2)/4pi^2
Hence, g2=g1(T1/T2)^2
Substitute values,
We have, g2=9.8*(2/1.99869)^2=9.812 m/s^2 (Ans)
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