The lift of an air plane is based on

  • [AIIMS 2012]
  • A

    Torricelli's theorem

  • B

    Bernoulli's theorem

  • C

    Law of gravitation

  • D

    Conservation of linear momentum

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An  $L-$ shaped glass tube is just immersed in flowing water towards tube as shown. If speed of water current is $V,$  then the height  $h$  upto which water rises will be

Different heads are in Column - $\mathrm{I}$ and its formulas are given in Column - $\mathrm{II}$. Match them appropriately.

Column - $\mathrm{I}$ Column - $\mathrm{II}$
$(a)$ Velocity head $(i)$ $\frac{P}{{\rho g}}$
$(b)$ Pressure head $(ii)$ $h$
  $(iii)$ $\frac{{{v^2}}}{{2g}}$

Water is flowing through a horizontal tube having cross-sectional areas of its two ends being $A$ and $A'$ such that the ratio $A/A'$ is $5$ છે.જો  If the pressure difference of water between the two ends is $3 \times 10^5\, N\, m^{-2}$, the velocity of water with which it enters the tube will be ......... $m s^{-1}$ (neglect gravity effects)

  • [AIEEE 2012]

Can Bernoulli’s equation be used to describe the flow of water through a rapid in a river? Explain.

In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are $70 \mathrm{~ms}^{-1}$ and $65 \mathrm{~ms}^{-1}$ respectively. If the wing area is $2 \mathrm{~m}^2$ the lift of the wing is__________ $\mathrm{N}$.

(Given density of air $=1.2 \mathrm{~kg} \mathrm{~m}^{-3}$ )

  • [JEE MAIN 2024]