Question

Pressure at a bottom in pond is $6$ atm. The greatest integer less than or equal to the depth of the pond (in meters) is $(60+x)$. Find x.

Answer 1

Pressure at buttom of pond is 6 atm $=P$

$P=hg\rho$ formula we know,

Height of Pond $h=\frac{P}{g\rho }$

$\rho =$ Density of water $=997Kg/m^3$

$g=9.80m{S}^{-2}$

$h=\frac{6\times 1.013\times {10}^{5}Pa}{\left(9.8m{s}^{-2}\right)\left(997Kg/m^3\right)}=62.1$ moles

Gives $60+x\approx 62$

$x=2$