As we know,
T = 2 \pi \sqrt{l\over g}
Given,
g = 10 ms-2
π = 3.14
T = 2 s
Substituting the values in the formula above we get,
2 = 2 × 2 × 3.14 2 \pi \sqrt{l\over 10}
⇒ ({2\over 2 \times 3.14}) = \sqrt{l\over g}
⇒ ({2\over2 \times 3.14})^2 = l\over 10
⇒ (0.318)2 = l\over 10
⇒ 0.10142 = l\over 10
⇒ l = 1.0142
Hence, length of a seconds’ pendulum = 1.0142 m