Home
Class 12
PHYSICS
Water is being poured in a vessel at a c...

Water is being poured in a vessel at a constant rate `alpha m^(2)//s`. There is a small hole of area a at the bottom of the tank. The maximum level of water in the vessel is proportional to

A

`h=(alpha^(2))/(2ga^(2))`

B

`h=(alpha^(2))/(4ga^(2))`

C

`g=(alpha^(2))/(ga^(2))`

D

`h=(3alpha^(2))/(ga^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 75

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

  • NTA JEE MOCK TEST 77

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

A point source S is placed at a height h from the bottom of a vessel of height H(lt h) . The vessel is polished at the base. Water is polished at the base. Water is gradually filled in the vessel at a constant rate alpha m^(3)//s . The distance d of image of the source after reflection from mirror from the bottom of the vessel varies with time t as

The level of water in a tank is 5 m high . A hole of the area 10 cm^2 is made in the bottom of the tank . The rate of leakage of water from the hole is

Water is being poured on to a cylindrical vessel at the rate of 1(m^(3))/(min) .If the vessel has a circular base of radius 3m ,find the rate at which the level of water is rising in the vessel.

The level of water in a tank is 5m high.A hole of area 1cm^2 is made in the bottom of the tank. The rate of leakage of water from the hole is (g=10ms^(-2)

Water is maintained at a constant level of 4.9 m in a big tank. The tank has a small hole to the wall near the bottom. The bottom of the tank is 2.5 above the ground level. The horizontal distace at which water touches are ground is

A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan ^(-1)((1)/(2)) . Water is poured into it at a constant rate of 5 cu m/min. Then, the rate (in m/min) at which the level of water is rising at the instant when the depth of water in the tank is 10 m is

A tank has a hole at its bottom. The time needed to empty the tank from level h_(1) to h_(2) will be proportional to

A cylindrical vessel of cross section A contains water to a height h. There is a hole in the bottom of radius 'a'. The time in which it will be emptied is:

In the figure shown, water flows into the open vessel through pipe A at a constant rate. The water can flow out of the vessel by pipe B. The maximum flow-rate fo the water in pipe B is slightly more than that in pipe A. Final height of the water level in the vessel would be

A cylindrical vessel contains a liquid of density rho up to height h . The liquid is closed by a piston of mass m and area of cross section A . There is a small hole at the bottom of the vessel. The speed v with which the liquid comes out of the hole is

NTA MOCK TESTS-NTA JEE MOCK TEST 76-PHYSICS
  1. Two particles having masses m and 4m are separated by distance l. The ...

    Text Solution

    |

  2. Two bodies of masses 1 kg and 4 kg are connected to a vertical spring,...

    Text Solution

    |

  3. One mole of gas having gamma = 7//5 is mixed with 1 mole of a gas havi...

    Text Solution

    |

  4. Two identical glass bulbs are interconnected by a thin glass tube. A g...

    Text Solution

    |

  5. Water is being poured in a vessel at a constant rate alpha m^(2)//s. T...

    Text Solution

    |

  6. A star initially has 10^(40) deuterons. It produces energy via the pr...

    Text Solution

    |

  7. The mass M shown in figure ocillates in simple harmonic motion with am...

    Text Solution

    |

  8. The photosensitive surface is receiving the light of wavelength 5000Å ...

    Text Solution

    |

  9. A cone of radius R and height H, is hanging inside a liquid of density...

    Text Solution

    |

  10. Line PQ is parallel to y - axis and moment of inertia of a rigid body ...

    Text Solution

    |

  11. In the following circuits, PN - junction diodes D(1),D(2) and D(3) are...

    Text Solution

    |

  12. The viscosity eta of a gas depends on the long - range attractive part...

    Text Solution

    |

  13. plane waves refracted for air to water using Huygen.s principal a,b,c,...

    Text Solution

    |

  14. 2 loudspeakers are emitting sound waves of wavelength lambda with an i...

    Text Solution

    |

  15. A block of mass m is connected rigidly with a smooth wedge (plank) by ...

    Text Solution

    |

  16. Shown in the figure is a block at rest haivng an inclined smooth groov...

    Text Solution

    |

  17. A particle is suspended by a light vertical inelastic string of length...

    Text Solution

    |

  18. A 1kg block B rests as shown on a bracket A of same mass. Constant for...

    Text Solution

    |

  19. When the gap between two identical concave thin lenses (mu=(3)/(2), f=...

    Text Solution

    |

  20. A block of mass 0.1 kg is attached to a cord passing through a hole in...

    Text Solution

    |