F is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16

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asked Sep 1, 2022 92.3k views

1 Answer

Max Peng · Answer 1 · 2022-09-05T05:32:30+0000

f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16

By question , f is inversely proportional to square root of g. In mathematical form ,

$\implies f \propto (1)/(\sqrt g)$

Let k be constant . So that ,

$\implies f =k (1)/(\sqrt g)$

When f = 8 , g is 25. So that ,

$\implies 8= k\frac{1}{\sqrt {85}}$

$\implies k = 8√(25)$

Hence the value of constant is 8√25.

So that when g is 16 ,

$\implies f = 8√(25) * 1/ √(16)\\\\\implies f = 8*5 / 4 \\\\\implies \boxed{ f = 10 }$

Hence the Value of f is 10 .