The height of the water level in a tank of un | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The velocity of efflux $(v)$ from a hole at the bottom of a tank is given by Torricelli's law: $v = \sqrt{2gh}$.Given:Height of water level, $h =

Vedclass · Accepted Answer

$120 	imes 10^{-6} \,m^3$

Vedclass · Answer

(B) The velocity of efflux $(v)$ from a hole at the bottom of a tank is given by Torricelli's law: $v = \sqrt{2gh}$.Given:Height of water level, $h = 5 \,m$.Area of the hole, $A = 2.4 \,mm^2 = 2.4 	imes 10^{-6} \,m^2$.Time, $t = 5 \,s$.Acceleration due to gravity, $g = 10 \,ms^{-2}$.The volume of water leaked $(V)$ is given by the product of the area of the hole, the velocity of efflux, and the time:$V = A 	imes v 	imes t = A \sqrt{2gh} 	imes t$.Substituting the values:$V = (2.4 	imes 10^{-6} \,m^2) 	imes \sqrt{2 	imes 10 \,ms^{-2} 	imes 5 \,m} 	imes 5 \,s$.$V = 2.4 	imes 10^{-6} 	imes \sqrt{100} 	imes 5$.$V = 2.4 	imes 10^{-6} 	imes 10 	imes 5$.$V = 2.4 	imes 50 	imes 10^{-6} \,m^3$.$V = 120 	imes 10^{-6} \,m^3$.

The height of the water level in a tank of uniform cross-section is $5 \,m$. The volume of water leaked in $5 \,s$ through a hole of area $2.4 \,mm^2$ made at the bottom of the tank is (Assume the level of the water in the tank remains constant and acceleration due to gravity $= 10 \,ms^{-2}$).

Similar Questions

Give the meaning of efflux.

Water is filled in a cylindrical vessel of height $H$. $A$ hole is made at height $z$ from the bottom, as shown in the figure. The value of $z$ for which the range $(R)$ of the emerging water through the hole will be maximum is:

$A$ vessel completely filled with water has holes $A$ and $B$ at depths $h$ and $3h$ from the top respectively. The hole $A$ is a square of side $L$ and $B$ is a circle of radius $r$. The water flowing out per second from both the holes is same. Then $L$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module