Question

If a liquid enters a section of tube of radius 5 cm with a velocity 16 $m{s}^{-1}$, the velocity with which it leaves another section of the tube of radius 4 cm (assuming the tube horizontal)

• A. 25 $m{s}^{-1}$
• B. 50 $m{s}^{-1}$
• C. 12.5 $m{s}^{-1}$
• D. 75 $m{s}^{-1}$

Answer 1

The correct option is A 25 $m{s}^{-1}$

We know,

According to equation of continuity,

$Av=constant$

$\pi R_1^{2}16=\pi R_2^{2}v$

$v={\frac{R_1}{R_2}}^2\times 16=25m/s$

Option $\text{A}$ is the correct answer