A spherical solid body is dropped inside a vast expanse of viscous liquid of large depth and of coefficient of viscocity.the density of the solid is greater than that of the liquid.the time taken by the body to attain the 90% of the steady state velocity is dependent on?
Answers
Answered by
2
The velocity is dependent on diameter of sphere, density of the solid, and coefficient of viscosity.
Options B, C and D are correct.
Explanation:
Given option are
(A) Density of the liquid (B) Diameter of the sphere (C) Density of the solid (D) Coefficient of viscosity
Solution:
According to Stokes law:
6 π η r v = Fv [ Here v = velosity]
Fb = σ V'g ( Density of liquid )
F = ma
Now
m dv / dt = V'g ( ρ - σ )
V = Vt [ 1 - e ^ -t / t ]
VT = terminal velocity
-t = time
t = time cost
t = 2 ρ r^2 / 9 η ( density of solid)
VT x 90 / 100 = Vt [ 1 - e ^ -t / t ]
e ^ -t / t = 1 / 10
-t / t = ln (1 / 10)
t = t ln 10 [ whne v = 90 % of terminal velocity ]
Answered by
2
Answer:
The velocity is dependent
on diameter of sphere,
density of the solid, and
coefficient of viscosity.
Options B, C and D are
Correct.
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