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Equal volumes of two immiscible liquids ...

Equal volumes of two immiscible liquids of densities `rho` and `3rho` are filled in a big vessel. Two small holes are punched at depth `h//3` and `4h//3` from upper surface of lighter liquid. If `v_(1)` and `v_(2)` are velocities of efflux at these two holes, then `v_(1)//v_(2)` is

A

`1/2`

B

`1/(sqrt(2))`

C

`1/(2sqrt(2))`

D

`1/4`

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Knowledge Check

  • Equal volume of two immiscible liquids of densities rho and 2rho are filled in a vessel as shown in the figure. Two small holes are punched at depths h//2 and 3h//2 from the surface of lighter liquid. If v_(1) and v_(2) are the velocities of efflux at these two holes, then v_(1)//v_(2) is

    A
    `1/(2sqrt(2))`
    B
    `1/2`
    C
    `1/4`
    D
    `1/(sqrt(2))`
  • Equal volume of two immissible liquid of densities rho and 2 rho are filled in a vessel as shown in Fig. 7(CF).15. Two small holes are punched at depth (h)/(2) and (3h)/(2) from the surface of lighter liquid. If v_(1) and v_(2) are the velocities of efflux at these two holes, then v_(1)//v_(2) is

    A
    `(1)/(4)`
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    `(1)/(sqrt(2))`
    D
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  • In the arrangement shown two liquids of density rho and 2rho are filled in a container the height of both liquids is h. there are two holes A and B at heights h_(1) and h_(2) from top liquid surface and bottom of the vessel. if V_(1) and V_(2) are the velocities of efflux at the two holes A and B respectively, find the correct graph. Take =alpha((V_(2))/(V_(1)))^(2)

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