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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Mechanical Properties of Fluids

NEET 2024 · Physics · Mechanical Properties of Fluids

An ideal fluid is flowing in a non-uniform cross-sectional tube X Y...

An ideal fluid is flowing in a non-uniform cross-sectional tube XYX Y (as shown in the figure) from end XX to end YY. If K1K_1 and K2K_2 are the kinetic energy per unit volume of the fluid at XX and YY respectively, then the correct option is : An ideal fluid is flowing in a non-uniform cross-sectional tube X Y (as shown in the figure) from end X to end Y . If

Options

  1. AK1=K2K_1=K_2
  2. B2K1=K22 K_1=K_2
  3. CK1\gtK2K_1\gtK_2
  4. DK1<K2K_1 \lt K_2

Correct answer

C. K1\gtK2K_1\gtK_2

Step-by-step solution

According to Bernoulli's principle, Kinetic energy per unit volume + Potential energy per unit volume + Pressure = Constant 12ρV2+ρgh+P=\frac{1}{2} \rho V^2+\rho g h+P= constant Apply Bernoulli's principle at point XX and YY, P+K1+ρg(0)=P+K2+ρg( h)P+K_1+\rho g(0)=P+K_2+\rho g(\mathrm{~h}) K1=K2+ρghK_1=K_2+\rho g h K1\gtK2K_1\gtK_2
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