Question

Liquid A and liquid B exerts the same amount of pressure and density of liquid A is twice the density of liquid B. What would be the height of the column of liquid A if the height of the column of liquid B is 10cm?

• A. 5 cm
• B. 15 cm
• C. 10 cm
• D. 20 cm

Answer 1

The correct option is A 5 cm

$p=h\rho g...............\left(1\right)$
Condition 1 :
Both liquid A and liquid B exert same amount of pressure
$p_A=p_B...............\left(2\right)$
Condition 2 :
If density of liquid A is twice the density of liquid B
${\rho }_A=2{\rho }_B...............\left(3\right)$
Condition 3 :
$h_B=10cm$
Substitute (2) and (3) in (1)
$h_A\times 2{\rho }_B\times g=h_B\times {\rho }_B\times g$
$2h_A=h_B$
$h_A=5cm$
Height of column A is 5 cm.