Question

A liquid flows in the tube from left to right as shown in figure. $A_{1}$ and $A_{2}$ are the cross-sections of the portions of the tube as shown. The ratio of speed $\frac{v_{1}}{v_{2}}$ will be

• A. $\frac{A_{1}}{A_{2}}$
• B. $\frac{A_{2}}{A_{1}}$
• C. $\sqrt{\frac{A_{2}}{A_{1}}}$
• D. $\sqrt{\frac{A_{1}}{A_{2}}}$

Answer 1

Answer: (B)

By equation of continuity
$v_{1} A_{1}=v_{2} A_{2}$
So, $\frac{v_{1}}{v_{2}}=\frac{A_{2}}{A_{1}}$