Question

Determine the height above the dashed line $X{X}^{\prime }$ attained by the water stream coming out through the hole is situated at point $B$ in the given diagram. Given that $h=10m,L=2m$ and $\alpha ={30}^o$.

• A. 10 m
• B. 7.1 m
• C. 5 m
• D. 3.2 m

Answer 1

The correct option is A 10 m

Velocity of water when it comes out of the hole is given by

$V=\sqrt{2gh}$

From the question the value of $h^{\prime }$ is

$=10-2sin30=9$ ; $h^{\prime }$ is the new height above dashed line

Now velocity comes out to be $6\sqrt{5}$

Maximum height attained by a projectile is

$v^2-u^2=2gs$ [$v=0$]

$s=9m$

But $1m$ was already acheived by it inside the pipe so max. height is $9+1=10m$