Q

# Answer please! - Properties of Solids and Liquids - JEE Main-3

A solid sphere, of radius R acquires a terminal velocity $\upsilon _{1}$ when falling (due to gravity ) through a viscous fluid having a coefficient of viscosity $\eta$. The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity, $\upsilon _{2}$, when falling through the same fluid, the ratio $(\upsilon _{1}/\upsilon _{2})$ equals :

• Option 1)

9

• Option 2)

1/27

• Option 3)

1/9

• Option 4)

27

Views

$M=\rho \times \frac{4}{3}\pi R^{3}$

$\frac{M}{27}=\rho \times \frac{4}{3}\pi r^{3}$

$r\rightarrow \frac{R}{3}$

$V_{T}\alpha (Radius)^{2}$

$\frac{V_{T}}{V_{new}}=\frac{R^{2}}{(R/3)^{2}}=9$

Option 1)

9

Option 2)

1/27

Option 3)

1/9

Option 4)

27

Exams
Articles
Questions