Question

Given that both liquid A and liquid B exert the same amount of pressure, what would be the height of column A if the density of liquid A is twice the density of liquid B and the height of the column of liquid B is 10cm. a>10 b>5 c>20 d>None of these

Answer 1

Answer: (b) 5

Explanation:

Since pressure is directly proportional to the force (given are of cross section is constant); and since force is directly proportional to mass (given acceleration due to gravity is constant); and since mass is directly proportional to product of density and height; we can deduce that pressure is directly proportional to product of density and height.

Now that pressure is same in both the cases, for product of density and height to remain same, height of liquid in second case shall become 5 cm.

(density of A) x (height of A) = (density of B) x (height of B)

height of A = (height of B) x (density of B)/(density of A) = 10 x (1/2) = 5 cm.

Answer 2

Answer:

5 cm

Explanation:

Liquid pressure depends upon the density of the liquid.