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W alpha L2 and W 6 when L 4 If L sqrt 17 find W - JAMB Mathematics 2007 Question

W \(\alpha\) L2 and W = 6 when L = 4. If L = \(\sqrt{17}\), find W.
A
6\(\frac{3}{8}\)
B
\(\frac{7}{8}\)
C
\(\frac{1}{8}\)
D
\(\frac{5}{8}\)
correct option: a

W (\alpha) L2, (\frac{W}{L^2}) = k(constant)

(\frac{6}{42}) = k

(\frac{W}{(\sqrt{17})^2})

W = (\frac{17 \times 6}{16})

= (\frac{51}{8})

= 6(\frac{3}{8})

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