Question

A tank is filled with water and two holes A and B are made in it. For getting same ranges, ratio of $\frac{h}{h^{\prime }}$ is

• A. $2$
• B. $\frac{1}{2}$
• C. $\frac{1}{3}$
• D. $1$

Answer 1

The correct option is D $1$

$Range\left(A\right)=\sqrt{\frac{2h}{g}\times 2g(x+h^{\prime })}Range\left(B\right)=\sqrt{\frac{2(h+x)}{g}\times 2g{h}^{\prime }}h(x+h^{\prime })=h^{\prime }(x+h)hx+h{h}^{\prime }=h{h}^{\prime }+h^{\prime }xh=h^{\prime }\frac{h}{h^{\prime }}=1$