passpadi

2004

Mathematics

JAMB

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 Answer: 324 cm

Explanation

L∝T 2 L=kT 2 k=L/T 2 when T = 4, L = 64. k=64/4 2=4 L=4T 2 when T = 9, L=4×9 2=324cm

L∝T 2 L=kT 2 k=L/T 2 when T = 4, L = 64. k=64/4 2=4 L=4T 2 when T = 9, L=4×9 2=324cm
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