A rocket of initial mass m, moving with a velocity of v, discharges a jet of gases of mean density `rho`and effective area A. The minimum value of v of fuel gas which enables the rocket to rise vertically above is nearly :

Options

A. `((rhog)/(M_(0)A))^(1//2)`
B. `((rhogA)/(M_(0)))^(1//2)`
C. `((m_(0)g)/(rhoA))^(1//2)`
D. `((2m_(0)g)/(rho))^(1//2)`

Answer

A