Final answer:
The length of a pendulum with a period of 0.500 s is approximately 0.250 m.
Step-by-step explanation:
To find the length of a pendulum with a period of 0.500 s, we can use the equation for the period of a simple pendulum:
T = 2π √(L/g)
Where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
Rearranging the equation, we have:
L = (T^2 * g) / (4π^2)
Substituting the given values, we get:
L = (0.500^2 * 9.8) / (4 * 3.14^2)
L ≈ 0.25 m
Therefore, the correct answer is option b) (0.250 m).