A large open tank has two holes in the wall. | vedclass

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

Question

(B) The velocity of efflux for a hole at depth $h$ is given by Torricelli's law: $v = \sqrt{2gh}$.The rate of flow of water (volume per second) is giv

Vedclass · Accepted Answer

$\frac{L}{\sqrt{2\pi}}$

Vedclass · Answer

(B) The velocity of efflux for a hole at depth $h$ is given by Torricelli's law: $v = \sqrt{2gh}$.The rate of flow of water (volume per second) is given by $Q = A \cdot v$,where $A$ is the area of the hole.For the square hole at depth $y$:Area $A_1 = L^2$Velocity $v_1 = \sqrt{2gy}$$Q_1 = L^2 \sqrt{2gy}$For the circular hole at depth $4y$:Area $A_2 = \pi R^2$Velocity $v_2 = \sqrt{2g(4y)} = 2\sqrt{2gy}$$Q_2 = \pi R^2 (2\sqrt{2gy})$Given that $Q_1 = Q_2$:$L^2 \sqrt{2gy} = \pi R^2 (2\sqrt{2gy})$$L^2 = 2\pi R^2$$R^2 = \frac{L^2}{2\pi}$$R = \frac{L}{\sqrt{2\pi}}$

Similar Questions

$A$ conducting bar is pulled with a constant speed $v$ on a smooth conducting rail. The region has a steady magnetic field of induction $B$ as shown in the figure. If the speed of the bar is doubled then the rate of heat dissipation will

$A$ certain prism is found to produce a minimum deviation of $38^{\circ}$. It produces a deviation of $44^{\circ}$ when the angle of incidence is either $42^{\circ}$ or $62^{\circ}$. What is the angle of incidence when it is undergoing minimum deviation? (in degrees)

Which of the following has a dipole moment of zero?

$A$ man standing on a road has to hold his umbrella at $30^{\circ}$ with the vertical to keep the rain away. He throws the umbrella and starts running at $10 ~km/h$. He finds that raindrops are hitting his head vertically. The actual speed of raindrops is:

If $\frac{1}{x^4+x^2+1}=\frac{A x+B}{x^2+x+1}+\frac{C x+D}{x^2-x+1}$, then $C+D$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module