Question

The terminal velocity $(v_t)$ of the spherical rain drop depends on the radius (r) of the spherical rain drop as

• A. $r^{\frac 12}$
• B. $r$
• C. $r^2$
• D. $r^3$

Answer 1

Answer: (C)

$r^2$

Answer 2

$6πηvtr = \frac 43πr^3(ρ-σ)g$
⇒ $v_t = Cr^2$
where $C$ is a constant
⇒ $v_t ∝ r^2$

So, the correct option is (C): $r^2$