Question

p is inversely proportional to square root of q. of p=6 then q = 4 . when p=4 then the value of q is​

Answer 1

SOLUTION

GIVEN

• p is inversely proportional to square root of q.

• p=6 then q = 4

TO DETERMINE

when p=4 then the value of q

EVALUATION

Here it is given that p is inversely proportional to square root of q

$\displaystyle \sf{p \propto \: \frac{1}{ \sqrt{q} } }$

$\displaystyle \sf{ \implies \: p \sqrt{q} = constant }$

$\displaystyle \sf{ \implies \: {p}^{2} q = constant }$

Let

$\displaystyle \sf{ \: {p}^{2} q = k } \: \: \: - - (1)$

Where k is a non zero constant

Now p = 6 when q = 4 gives

$\displaystyle \sf{ \implies \: {(6)}^{2} \times 4 = k }$

$\displaystyle \sf{ \implies \: k = 144}$

So Equation 1 becomes

$\displaystyle \sf{ \: {p}^{2} q = 144 }$

When p = 4 we have from above

$\displaystyle \sf{ \: {(4)}^{2} \times q = 144 }$

$\displaystyle \sf{ \implies 16 \times q = 144 }$

$\displaystyle \sf{ \implies q = 9 }$

FINAL ANSWER

The required value of q = 9

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Answer 2

Answer:

9

Step-by-step explanation:

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