A cylinder of height 20 m is completely filled with water. The velocity of efflux of water through a hole on the side wall of the cylinder near its bottom is (Take g= 10 m s-2 )

Question

A cylinder of height 20 m is completely filled with water. The velocity of efflux of water through a hole on the side wall of the cylinder near its bottom is (Take g= 10 m s-2 ) (A)  10 m s-1  (B)  20 m s-1  (C)  25.5 m s-1  (D)  5 m s-1

Tardigrade Admin · Accepted Answer

According to Torricelli’s law, Velocity of efflux, v = √2gh Here, h = 20 m , g = 10 m s-2 ∴ v=√2×10 m s-2×20 m = 20 m s-1

Q. A cylinder of height $20 m$ is completely filled with water. The velocity of efflux of water through a hole on the side wall of the cylinder near its bottom is (Take $g = 10 m s^{- 2}$ )

$10 m s^{- 1}$

$20 m s^{- 1}$

$25.5 m s^{- 1}$

$5 m s^{- 1}$

According to Torricelli’s law,
Velocity of efflux, $v = 2 g h$
Here, $h = 20 m$ , $g = 10 m s^{- 2}$
$∴ v = 2 \times 10 m s^{- 2} \times 20 m$
$= 20 m s^{- 1}$

Q. A cylinder of height 20m is completely filled with water. The velocity of efflux of water through a hole on the side wall of the cylinder near its bottom is (Take g=10ms−2 )

10ms−1

20ms−1

25.5ms−1

5ms−1