Question

The coefficients of viscosity of two liquids are in the ratio 2 3 What is the ratio of the volumes of liquid collected in the same time
using the same vessel completely filled with liquids of densities in the ratio 4 5? (The capillary tubes used have the same length and
same bore diameter)
(A) 8:15
(B) 6:5
(C) 56
(D) 15.8​

Answer 1

Answer:

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Answer 2

Given info : The coefficients of viscosity of two liquids are in the ratio of 2 : 3.

To find : the ratio of the volumes of liquid collected in the same time using the same vessel completely filled with liquid of densities in the ratio of 4 : 5.

solution : from Poiseullies equation, Q = πρr⁴/8ηL

from question,

L , r are constant

so, Q ∝ ρ/η

⇒Q₁/Q₂ = (ρ₁/ρ₂) × (η₂/η₁)

= (4/5) × (3/2)

= 12/10

= 6/5

Therefore the ratio of the volumes of liquid collected in the same time is 6 : 5.

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