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A hole of area 1 mm\(^2\) opens in the pipe near the lower end of a large water storage tank, and a stream of water shoots from it. If the top of the water in the tank is 20 m above the point of the leak, the amount of water escapes in 1 s is:
  • OJEE - 2024
  • OJEE
  • Physics
  • mechanical properties of fluid
The volume of an air bubble is doubled as it rises from the bottom of a lake to its surface. The atmospheric pressure is 75 cm of mercury and the ratio of the density of mercury to that of lake water is 40/3. The depth of the lake is:
  • OJEE - 2024
  • OJEE
  • Physics
  • mechanical properties of fluid
Water is flowing through a tube of radius \( r \) with a speed \( v \). If this tube is joined to another tube of radius \( r/2 \), the speed of water in the second tube is:
  • OJEE - 2024
  • OJEE
  • Physics
  • mechanical properties of fluid
The increase in pressure required to decrease the volume of 200 L of water by 0.004 percent is (Bulk modulus of water is \( 2.1 \times 10^9 \) N/m\(^2\)):
  • OJEE - 2024
  • OJEE
  • Physics
  • mechanical properties of fluid
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