Two vessels `A` and `B` of different shapes have the same base area and are filled with water up to the same height `h` (see figure). The force exerted by water on the base is `F_(A)` for vessel `A` and `F_(B)` for vessel `B`. The respective weights of the water filled in vessels are `W_(A)` and `W_(B)`. Then

Options

A. `F_(A) gt F_(B), W_(A) gt W_(B)`
B. `F_(A)= F_(B), W_(A) gt W_(B)`
C. `F_(A)-= F_(B), W_(A) lt W_(B)`
D. `F_(A) gt F_(B), W_(A)= W_(B)`

Answer

B

Explanation

`W= mg = rho Vg`
`F= P xx A`
`F_(A) = F_(B)`
`W_(A) gt W_(B)`