Question

Water $\left(\rho=1000\, kg / m ^{3}\right)$ and kerosene $\left(\sigma=800\, kg / m ^{3}\right)$ are filled in two identical cylindrical vessels. Both vessels have small holes at their bottom. The speed of the water and kerosene coming out of their holes are $v_{1}$ and $v_{2}$ respectively. Select the correct alternative

• A. $v_{1}=v_{2}$
• B. $v_{1}=0.8 v_{2}$
• C. $0.8 v_{1}=v_{2}$
• D. $v_{1}=\sqrt{0.8} v_{2}$

Answer 1

Answer: (A)

Velocity of efflux for small holes $=\sqrt{2 g h}$
Which clearly is independent of ' $\rho$ ' (density)
So, $v_{1}=v_{2}$