MHT CET · Physics · Mechanical Properties of Fluids
Water (of density 'o') flows steadily through a horizontal pipe of variable cross-section. If the pressure of water is 'P' at a point where the flow speed is ' \(V\) ', then the pressure at another point where the flow speed becomes 3 V is
- A \(\mathrm{P}+\frac{3}{2} \mathrm{QV}^2\)
- B \(\mathrm{P}-4 \varrho \mathrm{~V}^2\)
- C \(\mathrm{P}+\frac{5}{2} \mathrm{QV}^2\)
- D \(\mathrm{P}-8 \varrho \mathrm{~V}^2\)
Answer & Solution
Correct Answer
(B) \(\mathrm{P}-4 \varrho \mathrm{~V}^2\)
Step-by-step Solution
Detailed explanation
\(P_1 + \frac{1}{2}\rho V_1^2 = P_2 + \frac{1}{2}\rho V_2^2\) \(P + \frac{1}{2}\rho V^2 = P_2 + \frac{1}{2}\rho (3V)^2\)
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