Correct choice is (a) 1/\(\sqrt[4]{3}\)
The explanation is: At the maximum rate i.e. dv/du=0 the value of u=1/\(\sqrt[4]{3}\) which is the minimum power speed. The rate of climb is given by λ-\(\frac{1}{2}\)[u^3+u^-1]=Emaxv where λ is dimensionless power, u is airspeed and Emax is endurance.