A fully loaded boeing aircraft has a mass of $5.4 \times 10^5\,kg$. Its total wing area is $500\,m ^2$. It is in level flight with a speed of $1080\,km / h$. If the density of air $\rho$ is $1.2\,kg\,m ^{-3}$, the fractional increase in the speed of the air on the upper surface of the wing relative to the lower surface in percentage will be $\left( g =10\,m / s ^2\right)$
  • A$16$
  • B$6$
  • C$8$
  • D$10$
JEE MAIN 2023, Diffcult
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A cork is submerged in water by a spring attached to the bottom of a bowl. When the bowl is kept in an elevator moving with acceleration downwards, the length of spring
    View Solution
  • 2
    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:
    View Solution
  • 3
    A silver ingot weighing $2.1 kg$  is held by a string so as to be completely immersed in a liquid of relative density $0.8$. The relative density of silver is $10.5$ . The tension in the string in $kg-wt$ is
    View Solution
  • 4
    A cubical block of wood of edge $10$ $cm$ and mass $0.92$ $kg$ floats on a tank of water with oil of rel. density $0.6$ to a depth of $4$ $cm$ above water. When the block attains equilibrium with four of its sides edges vertical
    View Solution
  • 5
    In an experiment to verify Stokes law, a small spherical ball of radius $r$ and density $\rho$ falls under gravity through a distance $h$ in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of $h$ is proportional to :

    (ignore viscosity of air)

    View Solution
  • 6
    A table tennis ball has radius $(3 / 2) \times 10^{-2} m$ and mass $(22 / 7) \times 10^{-3} kg$. It is slowly pushed down into a swimming pool to a depth of $d=0.7 m$ below the water surface and then released from rest. It emerges from the water surface at speed $v$, without getting wet, and rises up to a height $H$. Which of the following option(s) is (are) correct?

    [Given: $\pi=22 / 7, g=10 ms ^{-2}$, density of water $=1 \times 10^3 kg m ^{-3}$, viscosity of water $=1 \times 10^{-3} Pa$-s.]

    $(A)$ The work done in pushing the ball to the depth $d$ is $0.077 J$.

    $(B)$ If we neglect the viscous force in water, then the speed $v=7 m / s$.

    $(C)$ If we neglect the viscous force in water, then the height $H=1.4 m$.

    $(D)$ The ratio of the magnitudes of the net force excluding the viscous force to the maximum viscous force in water is $500 / 9$.

    View Solution
  • 7
    Pressure head in Bernoulli's equation is
    View Solution
  • 8
    The velocity of kerosene oil in a horizontal pipe is $5 m/s.$  If $g = 10m/{s^2}$ then the velocity head of oil will be ....... $m$
    View Solution
  • 9
    Force in Column - $\mathrm{I}$ and its use is in Column - $\mathrm{II}$ are given. Match them appropriately.
    Column - $\mathrm{I}$ Column - $\mathrm{II}$
    $(a)$ Cohesive force $(i)$ Useful for writing by chalk on blackboard.
    $(b)$ Adhesive force $(ii)$ Useful in soldering.
      $(iii)$Useful for formation of spherical drops of liquid.
    View Solution
  • 10
    A rectangular block is $10 \,cm \times 10 \,cm \times 15 \,cm$ in size is floating in water with $10 \,cm$ side vertical. If it floats with $15 \,cm$ side vertical, then the level of water will ..........
    View Solution