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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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