AP EAMCET · PHYSICS · Mechanical Properties of Fluids
Fully filled open water tank has two holes on either sides of its walls. One is a square hole of side \(x \mathrm{~cm}\) at a depth of \(2 \mathrm{~m}\) from the top, and the other hole is equilateral triangle of side \(4 \mathrm{~cm}\) at a depth of \(6 \mathrm{~m}\) from the top. If the rate of flow of water is same from both the holes, then ' \(x\) ' is
- A 1.73 cm
- B 12 cm
- C 6.92 cm
- D 3.46 cm
Answer & Solution
Correct Answer
(D) 3.46 cm
Step-by-step Solution
Detailed explanation
Volume flow rate, \(R_v\) \(\mathrm{R}_{\mathrm{v}}=\) area \(\times\) velocity \(R_{v_1}=x^2 \times \sqrt{2 \times g \times 2} \ldots\) square hole ...(i) \(R_{v_2}=\frac{\sqrt{3}}{4} \times 4^2 \times \sqrt{2 \times g \times 6}\) triangle hole ...(ii) Equating ( \(i) \&(i i)\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from PHYSICS
- The gravitational field in a region is given by \(\mathbf{E}=(5 \hat{\mathbf{i}}+12 \hat{\mathbf{j}}) \mathrm{Nkg}^{-1}\). If a particle of mass \(2 \mathrm{~kg}\) is moved from the origin to the point \((12 \mathrm{~m}\), \(15 \mathrm{~m}\) ) in this region, the change in gravitational potential energy isAP EAMCET 2019 Medium
- In a potentiometer experiment, when a cell in the secondary circuit is shunted by a resistance ' \(R\) ', balancing length is ' \(L_1\) '. On doubling the shunt resistance, balancing length increases to ' \(L_2\) '. Internal resistance of the cell isAP EAMCET 2017 Medium
- A small sphere is hung by a string fixed to a wall as shown in the figure. The sphere is pushed from the wall by a stick. The forces acting on the sphere are as shown. Then, identify the incorrect expression.
AP EAMCET 2021 Medium - The half-life of a radioactive element is \(10 \mathrm{~h}\). The fraction of initial radioactivity of the element that will remain after \(40 \mathrm{~h}\) isAP EAMCET 2012 Easy
- An ideal gas is found to obey \(\mathrm{Pv}^{\frac{3}{2}}=\) constant during an adiabatic process. If such a gas initially at a temperature T is aḍiabatically compressed to \(\frac{1}{4}\) th of its volume, then its final temperature isAP EAMCET 2024 Medium
- Two points charges are kept in air with a separation between them. The force between them is \(F_1\), if half of the space between the charges is filled with a dielectric constant 4 and the force between them is \(F_2\). If \(\frac{1}{3} \mathrm{rd}\) of the space between the charges is filled with dielectric of dielectric constant 9. Then \(\frac{F_1}{F_2}\) isAP EAMCET 2018 Medium
More PYQs from AP EAMCET
- If the area of a square is 575 square units, then the approximate value of its side isAP EAMCET 2025 Easy
- If \(A\) is the areal velocity of a planet of mass \(M\), its angular momentum isAP EAMCET 2002 Easy
- An object takes \(n\) times as much time as to slide down a \(45^{\circ}\) rough inclined plane as it takes to slide down a perfectly smooth inclined plane of the same inclination. The coefficient of kinetic friction between the object and the rough incline is given byAP EAMCET 2010 Easy
- The angle between the lines whose direction cosines are \(\left(\frac{\sqrt{3}}{4}, \frac{1}{4}, \frac{\sqrt{3}}{2}\right)\) and \(\left(\frac{\sqrt{3}}{4}, \frac{1}{4}, \frac{-\sqrt{3}}{2}\right)\), isAP EAMCET 2008 Easy
- The general solution of \(4 \cos 2 x-4 \sqrt{3} \sin 2 x+\cos 3 x-\) \(\sqrt{\sin 3 x+\cos x-\sqrt{3} \sin x}=0\)AP EAMCET 2024 Medium
- A coordinate complex contains \(\mathrm{Co}^{3+}, \mathrm{Cl}^{-}\)and \(\mathrm{NH}_3\). When dissolved in water, one mole of this complex gave a total of 3 moles of ions. The complex isAP EAMCET 2012 Easy