Make Q the subject of formula when \(L=\frac{4}{3}M\sqrt{PQ}\)
A
\(\frac{9L^2}{16M^2P}\)
B
\(\frac{3L}{4M\sqrt{P}}\)
C
\(\frac{\sqrt{3L}}{4MP}\)
D
\(\frac{3L^2}{16M^2}P\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(L=\frac{4}{3}M\sqrt{PQ}\\
=\frac{3}{4M} \times L = \sqrt{PQ}\\
=\left(\frac{3L}{4M}\right)^2=(\sqrt{PQ})^2\\
=\frac{9L^2}{16M^2}=PQ\\
=Q=\frac{9L^2}{16M^2 P}\)
Source: Myschool Past Questions Archive (Record #9268)