A sphere of brass released in a long liquid column attains a terminal speed v0. If the terminal speed attained by the sphere of marble of the same radius and released in the same liquid is nv0, then the value of n will be. Given: The specific gravities of brass, marble and the liquid are 8.5, 2.5 and 0.8 respectively.

Engineering

Physics

Viscosity

Question

A sphere of brass released in a long liquid column attains a terminal speed v₀. If the terminal speed attained by the sphere of marble of the same radius and released in the same liquid is nv₀, then the value of n will be.
Given: The specific gravities of brass, marble and the liquid are 8.5, 2.5 and 0.8 respectively.

$\frac{11}{31}$

$\frac{17}{5}$

$\frac{17}{77}$

$\frac{5}{17}$

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$y_{0} = \frac{2}{g} r^{2} \frac{(8 .5 - 0 .8) g}{η}$

${nv}_{0} = \frac{2}{g} r^{2} \frac{(2 .5 - 0 .8) g}{η}$

n = 17/77

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