Question

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

Answer 1

QUESTION :-

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

ANSWER :

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

$\implies f \propto \dfrac{1}{\sqrt g}$

Let k be constant . So that ,

$\implies f =k \dfrac{1}{\sqrt g}$

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

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

$\implies k = 8\sqrt{25}$

Hence the value of constant is 8√25.

So that when g is 16 ,

$\implies f = 8\sqrt{25} \times 1/ \sqrt{16}\\\\\implies f = 8*5 / 4 \\\\\implies \boxed{ f = 10 }$

Hence the Value of f is 10 .