A fully loaded boeing aircraft has a mass of $$5.4\times10^5$$ 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. ($$\mathrm{g=10~m/s^2}$$)
Surface tension of a soap bubble is $$2.0 \times 10^{-2} \mathrm{Nm}^{-1}$$. Work done to increase the radius of soap bubble from $$3.5 \mathrm{~cm}$$ to $$7 \mathrm{~cm}$$ will be:
Take $$\left[\pi=\frac{22}{7}\right]$$
A bicycle tyre is filled with air having pressure of $$270 ~\mathrm{kPa}$$ at $$27^{\circ} \mathrm{C}$$. The approximate pressure of the air in the tyre when the temperature increases to $$36^{\circ} \mathrm{C}$$ is
Match List I with List II
List I | List II | ||
---|---|---|---|
A. | Surface tension | I. | $$\mathrm{kg~m^{-1}~s^{-1}}$$ |
B. | Pressure | II. | $$\mathrm{kg~ms^{-1}}$$ |
C. | Viscosity | III. | $$\mathrm{kg~m^{-1}~s^{-2}}$$ |
D. | Impulse | IV. | $$\mathrm{kg~s^{-2}}$$ |
Choose the correct answer from the options given below :