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The length L of a simple pendulum varies direct... - JAMB Mathematics 2004 Question

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec
A
96 cm
B
324 cm
C
36 cm
D
144 cm
correct option: b
L ∝ T2
L = KT2
K = L/T2 (when T = 4s, L = 64 cm)
K = 64/42
K = 64/16 = 4
∴ ∠ = 4T2
∠ = 4 * 92
= 324 cm
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