Answer:
J. 9
Step-by-step explanation:
t = 2π √(L / 32)
t is directly proportional to √L:
t = k√L
Solving for L:
L = (t / k)²
Let's say t₁ and L₁ are the time and length of Pendulum 1, and t₂ and L₂ are the time and length of Pendulum 2. That means:
L₁ = (t₁ / k)²
L₂ = (t₂ / k)²
Given that t₁ = 3 t₂:
L₁ = (3 t₂ / k)²
L₁ = 9 (t₂ / k)²
L₁ = 9 L₂
Pendulum 1 is 9 times longer than Pendulum 2.
