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Savitha, a XI standard student, while conducting an experiment to determine the effective length of a simple pendulum L,…

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Savitha, a XI standard student, while conducting an experiment to determine the effective length of a simple pendulum L, notes down the data of time taken to complete 30 oscillations as 60 s and hence calculates the length of the simple pendulum as : (Take π2 = 9.8, and g = 9.8 m/s2)

a

2 m

b

0.75 m

c

1.5 m

d

1 m

✓ Correct answer: d)

1 m

Explanation

\(\text{ Time period is }2\sec\)

\(\mathrm{T}=2\pi \sqrt{\frac{ℓ}{\mathrm{g}}}\)
\(2=2\pi \sqrt{\frac{ℓ}{{\pi }^{2}}}\)
\(ℓ\approx 1\mathrm{m}\)

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