IP2 Class Test (May 2025) Q8

\(p\) is inversely proportional to the square of \(q\), where \(p\), \(q\) are positive. It is known that \(p={{p}_{0}}\) when \(q={{q}_{0}}\). Find \(q\) in terms of \({{q}_{0}}\), when \(2p=3{{p}_{0}}\). [3]