Question 315: Properties of Matter

Question

The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerin becomes constant after some time. If the density of glycerin is $${d \over 2}$$, then the viscous force acting on the ball will be :

Accepted Answer

Let F
v
be the viscous force and F
B
be the Bouyant
force acting on the ball.
Then, when body moves with constant velocity
Mg = F
B
+ F
v
[a = 0]
F
v
= Mg Ã¢ÂÂ F
B
= $$dVg - {d \over 2}Vg$$  (Mg = dVg)   V = volume of ball.
= $${d \over 2}Vg$$
$$ \Rightarrow $$ F
v
= $${{Mg} \over 2}$$

Answer

2Mg

Answer

$${{Mg} \over 2}$$

Answer

Mg

Answer

$${{3} \over 2}$$Mg

Properties of Matter

The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerin becomes constant after some time. If the density of glycerin is ${d \over 2}$, then the viscous force acting on the ball will be :

Choose the correct answer: