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If V1 is the jet velocity and V0 is the vehicle velocity, then the propulsive efficiency of a rocket is given by

A. $$\frac{{2\left( {\frac{{{{\text{V}}_0}}}{{{{\text{V}}_1}}}} \right)}}{{1 + {{\left( {\frac{{{{\text{V}}_0}}}{{{{\text{V}}_1}}}} \right)}^2}}}$$

B. $$\frac{{\frac{{{{\text{V}}_0}}}{{{{\text{V}}_1}}}}}{{1 + {{\left( {\frac{{{{\text{V}}_0}}}{{{{\text{V}}_1}}}} \right)}^2}}}$$

C. $$\frac{{{{\text{V}}_0}}}{{{{\text{V}}_0} + {{\text{V}}_1}}}$$

D. $$\frac{{{{\text{V}}_1}}}{{{{\text{V}}_0} + {{\text{V}}_1}}}$$

Answer: Option A

Solution(By Examveda Team)

If V1 is the jet velocity and V0 is the vehicle velocity, then the propulsive efficiency of a rocket is given by $$\frac{{2\left( {\frac{{{{\text{V}}_0}}}{{{{\text{V}}_1}}}} \right)}}{{1 + {{\left( {\frac{{{{\text{V}}_0}}}{{{{\text{V}}_1}}}} \right)}^2}}}$$

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