Question

What is the vertical height of mercury will exert a pressure of 99960 Pa?[Density of mercury = 13600 kg/cu.m., g = 9.8 m/sq.s ]

Answer 1

Given:

Pressure exerted by mercury = 99960 Pa

Density of mercury = 13600 kg/m³

And g = 9.8 m/s²

Solution:

We have the relation,

$P={\rho}gh$

where,

P=pressure    $\rho$=density   $g$ = acceleration    $h$ = height

Now substitute the values in above relation

$99960 = (13600)(9.8)(h)$

$99960 = (133280)h$

$h=\frac{99960}{133280}$

$h=0.75m$

∴ The vertical height of mercury = 0.75 metres