KCET · Physics · Mechanical Properties of Fluids
Horizontal tube of non-uniform corss-section has radii of \(0.1 \mathrm{~m}\) and \(0.05 \mathrm{~m}\) respectively at \(\mathrm{M}\) and N. For a streamline flow of liquid the rate of liquid flow is

- A changing continuously with time
- B greater at \(M\) than at \(N\)
- C greater at \(N\) than at \(M\)
- D same at \(M\) and \(N\)
Answer & Solution
Correct Answer
(C) greater at \(N\) than at \(M\)
Step-by-step Solution
Detailed explanation
The velocity of flow will increase if cross-section decreases and vice-versa.

\(\text {ie, } \mathrm{A}_{1} \mathrm{v}_{1} =\mathrm{A}_{2} \mathrm{v}_{2}\)
\(\text {or } \mathrm{Av} =\text { constant }\)
Therefore, the rate of liquid flow will be greater at \(N\) than at \(M\).

\(\text {ie, } \mathrm{A}_{1} \mathrm{v}_{1} =\mathrm{A}_{2} \mathrm{v}_{2}\)
\(\text {or } \mathrm{Av} =\text { constant }\)
Therefore, the rate of liquid flow will be greater at \(N\) than at \(M\).
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