Question

An open rectangular tank of dimensions `6mxx5mxx4m` contains water upto height of 2m. The vessel is accelerated horizontally with an acceleration of `a m//s^(2)` as shown. Take `rho_("water")=10^(3)kg//m^(3)`
`g=10m//s^(2)` atmospheric pressure `=10^(5)N//m^(2)`. Bese on above information answer the following questions:
Instead of open top if the vessel is closed then absolute pressure at point A would be [take `a=(20)/(3)m//s^(2)` and initially height of water in tank is 2m]
A. `1.33xx10^(5)N//m^(2)`
B. `1.0xx10^(5) N//m^(2)`
C. `3.33xx10^(45) N//m^(2)`
D. none

Answer 1

Correct Answer - A

For `a=(20)/(3)=(2g)/(3)` the situation wuold be as shown in fig.
Pressure `P=p_(0)`
Pressure at `A,P_(A)=p_(0)+rhoaxx5`
`=10^(5)+10^(3)xx(20)/(3)xx5=1.33xx10^(5)N//m^(2)`