JEE Mains · Physics · STD 11 - Fluid mechanics
- JEE Mains 2020
- Medium
- MCQ
An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are \(6.4 \;\mathrm{cm}\) and \(4.8 \;\mathrm{cm},\) respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is:
Pick an option to check your answer.
Answer & Solution
Correct Answer
(D) \(\frac{{9}}{16}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{A}_{1} \mathrm{v}_{1}=\mathrm{A}_{2} \mathrm{v}_{2}\)
\(\frac{V_{\min }}{V_{\max }}=\frac{A_{\min }}{A_{\max }}\)
\(\frac{v_{\min }}{v_{\max }}=\left(\frac{4.8}{6.4}\right)^{2}\)
\(\frac{V_{\min }}{V_{\max }}=\frac{9}{16}\)
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