Answer :
Final answer:
The time period of a simple pendulum of length 143 cm is approximately 2.4 seconds, so the closest given answer is 2.3 s (choice b).
Explanation:
The time period (T) of a simple pendulum is calculated using the formula \(T = 2\pi\sqrt{\frac{l}{g}}\), where l is the length of the pendulum and g is the acceleration due to gravity, which is approximately 9.81 m/s² on Earth's surface. The mass of the bob does not affect the period. We can calculate the period of a pendulum with a length of 1.43 meters (143 cm) using the given formula.
\[T = 2\pi\sqrt{\frac{1.43}{9.81}}\]
After calculating, we find that the period (T) is approximately 2.4 seconds, which means the closest answer choice to our calculated period is (b) 2.3 s.
