NEET Physics Question - Solid and Fluids - Surface Tension and Viscosity

Two objects A & B of equal density and radius rA = 1 mm and rB = 2 mm are moving in same medium then find the ratio of their terminal velocity $ \frac{v_{B}}{v_{A}}$ in the medium.

1/4

1/2

Solution:

The terminal velocity $v$ of a spherical object moving through a viscous medium is directly proportional to the square of its radius, expressed as $v \propto r^2$

$v \propto r^2$ , when the density and the medium remain constant.

$\frac{v_B}{v_A} = \left(\frac{r_B}{r_A}\right)^2 = \left(\frac{2}{1}\right)^2 = 4$

Thus, the required ratio \( $\frac{v_B}{v_A}$ is 4 (Option 3).

Rankers Physics

Solution:

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