Solveeit Logo

Question

Question: There is a hole in the bottom of tank having water. If total pressure at bottom is 3 atm (1 atm= 10<...

There is a hole in the bottom of tank having water. If total pressure at bottom is 3 atm (1 atm= 105N/m2) then the velocity of water flowing from hole is

A

400 m/s\sqrt { 400 } \mathrm {~m} / \mathrm { s }

B

600 m/s\sqrt { 600 } \mathrm {~m} / \mathrm { s }

C

60 m/s\sqrt { 60 } \mathrm {~m} / \mathrm { s }

D

None of these

Answer

600 m/s\sqrt { 600 } \mathrm {~m} / \mathrm { s }

Explanation

Solution

Pressure at the bottom of tank and

velocity of water v=2ghv = \sqrt { 2 g h }

v=2Pρ=2×3×105103=600 m/s\therefore v = \sqrt { \frac { 2 P } { \rho } } = \sqrt { \frac { 2 \times 3 \times 10 ^ { 5 } } { 10 ^ { 3 } } } = \sqrt { 600 } \mathrm {~m} / \mathrm { s }