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A tube of length 'L' is filled completel...

A tube of length 'L' is filled completely with an in compressiblem liquid of mass 'M' and closed at both ends. The tube is then rotated in a horizontal plane about one of it's ends with a uniform angular velocity `'omega'`. Then which of following statements are true :

A

The force exerted by liquid at the other end is `(1)/(2)M omega^(2)L`

B

Ratio of force at middle and point of the tube will be `4:1`

C

The force between liquid layers linearly with the distance along the lenghth of tube

D

Force is constant

Text Solution

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The correct Answer is:
a,b
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A tube of length L is filled completely with an incompressible liquid of mass M and closed at both ends. The tube is then roted in a horizontal plane about one of its ends with a uniform angular velocity omega The force exerted by the liquid at the other end is

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Knowledge Check

  • A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity omega . The force exerted by the liquid at the other end is

    A
    `(Momega^(2)L)/2`
    B
    `Momega^(2)L`
    C
    `(Momega^(2)L)/4`
    D
    `(Momega^(2)L^(2))/2`

  • A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with, a uniform angular velocity co. The force exerted by the liquid at the other end is

    A
    `Momega^2l//2`
    B
    `Momega^2l`
    C
    `Momega^2l//4`
    D
    `Momega^2l^2//2`

  • A uniform chain of mass M and length L is rotated in a horizontal circle about its one end at an angular frequency omega . The tension at its axis is

    A
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    `(Momega^(2)L)/(8)`
    C
    `(Momega^(2)L)/(4)`
    D
    `(Momega^(2)L)/(2)`

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