A group of students measures the period of a pendulum for several lengths and plots…

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

A group of students measures the period TT of a pendulum for several lengths ll and plots T2T^2 (vertical axis) versus ll (horizontal axis). The best-fit line has a slope of 4.05 s2 ⁣/ ⁣m4.05\,\text{s}^2\!/\!\text{m}. Based on these data, which value best estimates the gravitational field strength at the experiment site? (a) 4.1 m ⁣/ ⁣s24.1\,\text{m}\!/\!\text{s}^2 (b) 12.7 m ⁣/ ⁣s212.7\,\text{m}\!/\!\text{s}^2 (c) 9.8 m ⁣/ ⁣s29.8\,\text{m}\!/\!\text{s}^2 (d) 8.9 m ⁣/ ⁣s28.9\,\text{m}\!/\!\text{s}^2

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