The terminal velocity of small-sized spherical body of radius r falling vertically in a viscous liquid is given by the following proportionality

Question

The terminal velocity of small-sized spherical body of radius r falling vertically in a viscous liquid is given by the following proportionality (A) 1/r2 (B) 1/r (C) r (D) r2

Tardigrade Admin · Accepted Answer

According to formula v=(2r2(ρ - σ)g/9η) So, v propto r2

Q. The terminal velocity of small-sized spherical body of radius r falling vertically in a viscous liquid is given by the following proportionality

$1/ r^{2}$

1/r

r

$r^{2}$

According to formula
$v = \frac{2 r ^{2} ( ρ - σ ) g}{9 η}$
So, $v \propto r^{2}$

Q. The terminal velocity of small-sized spherical body of radius r falling vertically in a viscous liquid is given by the following proportionality

1/r2

1/r

r

r2

According to formula v=9η2r2(ρ−σ)g​ So, v∝r2

$1/ r^{2}$

$r^{2}$

According to formula
$v = \frac{2 r ^{2} ( ρ - σ ) g}{9 η}$
So, $v \propto r^{2}$