Fully filled open water tank has two holes on either sides of its walls. One is a square hole of side $x…

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
  1. 1.73 cm
  2. 12 cm
  3. 6.92 cm
  4. 3.46 cm

Solution


Volume flow rate, $R_v$ $\mathrm{R}_{\mathrm{v}}=$ area $\times$ velocity
Equating ( $i) \&(i i)$ and solving, we get $ x=2 \sqrt{3} \Rightarrow x=3.46 \mathrm{~cm} $

Asked in: AP EAMCET 2017 (26 Apr Shift 1)

Practice more Mechanical Properties of Fluids questions on Aicharya