A tank is filled with water upto height H. When hole is made at a distance h below the level of water. What will be the horizontal range of water jet?

Question

A tank is filled with water upto height H. When hole is made at a distance h below the level of water. What will be the horizontal range of water jet? (A)  2√h(H-h)  (B)  4√h(H+h)  (C)  4√h(H-h)  (D)  2√h(H+h)

Tardigrade Admin · Accepted Answer

Applying Bernoulli's theorem,
the velocity of water at point

v = 2 g h

Time taken to reach point

C

is

t

So,

H - h = \frac{1}{2} g t^{2}

t = \frac{2 ( H - h )}{g} .. (1)

Now, horizontal range

R = v t

= 2 g h \times \frac{2 ( H - h )}{g}

= 2 (H - h) h

Q. A tank is filled with water upto height $H$ . When hole is made at a distance $h$ below the level of water. What will be the horizontal range of water jet?

$2 h (H - h)$

$4 h (H + h)$

$4 h (H - h)$

$2 h (H + h)$

Applying Bernoulli's theorem,
the velocity of water at point
$v = 2 g h$
Time taken to reach point $C$ is $t$
So, $H - h = \frac{1}{2} g t^{2}$
$t = \frac{2 ( H - h )}{g} .. (1)$
Now, horizontal range $R = v t$
$= 2 g h \times \frac{2 ( H - h )}{g}$
$= 2 (H - h) h$

Q. A tank is filled with water upto height H. When hole is made at a distance h below the level of water. What will be the horizontal range of water jet?

2h(H−h)​

4h(H+h)​

4h(H−h)​

2h(H+h)​