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For the L-shaped vessel shown in the fig...

For the `L`-shaped vessel shown in the figure, determine the value of acceleration a so that pressure at point `A` becomes equal to `p_(0)/2`? (`p_(0)` is the atmospheric pressure)

A

`g`

B

`g/2+(p_(0))/(2rhoH)`

C

`(p_(0))/(2rhoH)`

D

`(rho_(0))/(2rhoH)+g`

Text Solution

Verified by Experts

The correct Answer is:
C
`p_(A)=rhoaH-rhogH=p_(B)`
Here `p_(A)=(p_(0))/2` and `p_(B)=p_(0)`
`:. -(p_(0))/2=rhogH=rhoaH`
`implies pH(a-g)=(p_(0))/2implies a=(p_(0))/(2rhoH)+g`
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