Question

The range of water flowing out of a small hole made at a depth of 10m below the water surface in a large tank is R.The extra pressure applied on water surface so that the range becomes 2R is ______(Take 1 atm = 10m of water)

• A. 3 atm
• B. 4 atm
• C. 2 atm
• D. 8 atm

Answer 1

The correct option is A 3 atm

$R=2\sqrt{h(H-h)}$
Since $R^1=2R=2\sqrt{h^1(H-h)}$
$\frac{R^1}{R}=\frac{2R}{R}=\sqrt{\frac{h^1}{h}}\Rightarrow h^1=4h\Rightarrow$ Extra pressure must be 3 atm