Home
Class 11
PHYSICS
A U-tube containing a liquid is accelera...

A U-tube containing a liquid is accelerated horizontally with a constant acceleration `a_0`. If the separation between the vertical limbs is l find the difference in the heights of the liquid in the two arms.

Text Solution

Verified by Experts

The correct Answer is:
A

Since the U tube is accelerated horizotaly inertia force will be experience by the horizontal part.
`If P_ararr atm pressure
Ararr area of cross section
`hrarr ` increase in height
`P_aA+AxxLxxPxxa_0`
`=P_a A+hrhogxxA`
`rarr hg=a_0L`
`rarr h=(a_0L)/g`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Figure shows a smasll sphereical bal of mass m rolling down the loop track. Thebasll is released on the linear portion at a verticla height H from the lowest point. The circular part show has a radius R. a. find the kinetic energy of the ball when it is at a point where the radius makes an angle theta with the horizontal. Find the radial and the tangential accelerations of the cente when the ball is at A. c. find the bnormal force and the frictionasl force acting on the ball if H=60 cm, R=10cm theta=0 and m=70 fg.

A simple pendulum is suspended from the ceiling a car accelerating uniformly on a horizontal road. If the acceleration is a_0 and the length of the pendulum is l, find the time period of small oscillations about the mean position.

A particle slides down a smooth inclined plane of elevation theta fixed in an elevator going up with an acceleration a_0 . The base of the incline has a length L. Find the time taken by the particle to reach the bottom.

Two charged particle A and B repel each other by a force k/r^2 where is a constant and r is th separation between them. The particle A is clamped to a fixed point in the lab and the particle B which has a mass m, is released from rest with asn initial separartion r_0 form A. Find the change in the potential energyof hte wo particle system as the separation increases to a large value. What will be the speed o the particle b in this situation?

Two particles, each having a mass of 5 g and charge. 1.0 xx 10^(-7) C, stay in limiting quilibrium on a horizontal. table with a separation of 10 cm between them. The coefficient of friction between each partcle and the table. is the same. Find the value of this coefficient.

A car is speeding up on a horizontal road with an acceleration a. Consider the following situations in the car. i. A ball is suspended from the ceiling through a string and is maintaining a constant angel with the vertical. Find this angle. Ii. A block is kept on a smooth incline and does not slip on the incline. Find the angle of the incline with a horizontal.

Shows a metallic wire of resistance 0.20 Omega sliding on a horizontal, U shaped metallic rail The separation between the parallel arms is 20 cm. jAn electric current of 2.0 mu A passes through the wire when it is slid at a rate of 20cm s ^(-1) . If the horizontal component of the earth's magnetic field is 3.0 X 10^(-5) T, calculate the dip at the place.

Two large glass plates are placed vertically and parallel to each other inside a tank of water with separation between the plates equal to 1 mm. Find the rise of water in the space between the plates. Surface tension of water =0.075Nm^-1 .

One end of a U-tube containing mercury is connected to a suction pump and the other end to atmosphere. A small pressure difference is maintained between the two columns. Show that, when the suction pump is removed, the column of mercury in the U-tube executes simple harmonic motion.

HC VERMA-FLUID MECHANICS-All Questions
  1. A cubical block of wood weighing 200 g has a lead piece fastened under...

    Text Solution

    |

  2. Solve the prievious problem if the lead piece is fastened on the top s...

    Text Solution

    |

  3. A cubical metal block of edge 12 cm floats in mercry with one fifth of...

    Text Solution

    |

  4. A hollow spherical body of inner and outer radii 6 cm, and 8 cm respec...

    Text Solution

    |

  5. A solid sphere of radius 5 cm floats in water. If a maximum load of 0....

    Text Solution

    |

  6. Find the ratio of the weights, as measured by a spring balance, of a 1...

    Text Solution

    |

  7. A cylindrical object of outer diameter 20 cm and mass 2 kg floats in w...

    Text Solution

    |

  8. A cylindrical object of outer diameter 10 cm, height 20 cm and density...

    Text Solution

    |

  9. A wooden block of mass 0.5 kg and density 800 kgm^-3 is fastened to th...

    Text Solution

    |

  10. An ice cube of edge a is placed in an empty cylindrical vessel of radi...

    Text Solution

    |

  11. A U-tube containing a liquid is accelerated horizontally with a consta...

    Text Solution

    |

  12. At Deoprayag (Garhwal, UP) river Alaknanda mixes with the river Bhagi...

    Text Solution

    |

  13. Water flows through a horizontal tube of variable cross-section. The a...

    Text Solution

    |

  14. Suppose the tube in the previous problem is kep vertical with A upward...

    Text Solution

    |

  15. Suppose the tube in the previous problem is kept verticla with B upwar...

    Text Solution

    |

  16. Water flows through a tube shown in figure. The areas of cross section...

    Text Solution

    |

  17. Water flows through a horizontal tube as shown in figure. If the diffe...

    Text Solution

    |

  18. Water flows through the tube shown in figure. The areas of cross secti...

    Text Solution

    |

  19. Water leaks out from an open tank through a hole of area 2mm^2 in the ...

    Text Solution

    |

  20. Water level is maintained ina cylindrical vessel up to a fixed height ...

    Text Solution

    |