Question:medium
A spherical ball of diameter 1 cm and density \( 5 \times 10^3 \, \text{kg m}^{-3} \) is dropped gently in a large tank containing viscous liquid of density \( 3 \times 10^3 \, \text{kg m}^{-3} \) and coefficient of viscosity \( 0.1 \, \text{Ns m}^{-2} \). The distance the ball moves in 1 s after attaining terminal velocity is (\( g = 10 \, \text{m s}^{-2} \))
A spherical ball of diameter 1 cm and density \( 5 \times 10^3 \, \text{kg m}^{-3} \) is dropped gently in a large tank containing viscous liquid of density \( 3 \times 10^3 \, \text{kg m}^{-3} \) and coefficient of viscosity \( 0.1 \, \text{Ns m}^{-2} \). The distance the ball moves in 1 s after attaining terminal velocity is (\( g = 10 \, \text{m s}^{-2} \))
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Always use Stokes’ law for small spheres moving in viscous fluids.
Updated On: May 2, 2026
- $\frac{10}{9}$ m
- $\frac{2}{3}$ m
- $\frac{4}{9}$ m
- $\frac{4}{5}$ m
- $\frac{9}{10}$ m
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The Correct Option is A
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