Why not rain drops do not posses greater velocity than some velocity ? Explain.
Why not rain drops do not posses greater velocity than some velocity ? Explain.
Since the rain drop freely falling under the gravitational force. The other force is the air resistance exerted opposite to its motion. As the velocity increases resultant force on it decreases. If a resultant force for certain velocity $\left[\mathrm{F}(v)=\frac{4}{5} \pi r^{3}(\rho-\sigma) g-\sigma \pi \eta r v\right]$ becomes zero, then its velocity becomes constant which is known as terminal velocity. From now velocity of drop does not increases.
Similar Questions
A solid metallic sphere of radius $r$ is allowed to fall freely through air. If the frictional resistance due to air is proportional to the cross-sectional area and to the square of the velocity, then the terminal velocity of the sphere is proportional to which of the following?
A solid metallic sphere of radius $r$ is allowed to fall freely through air. If the frictional resistance due to air is proportional to the cross-sectional area and to the square of the velocity, then the terminal velocity of the sphere is proportional to which of the following?
A small spherical solid ball is dropped in a viscous liquid. Its journey in the liquid is best described in the figure drawn by:-
A small spherical solid ball is dropped in a viscous liquid. Its journey in the liquid is best described in the figure drawn by:-
Which falls faster, big rain drops or small rain drops ?
Which falls faster, big rain drops or small rain drops ?
$Assertion :$ Falling raindrops acquire a terminal velocity.
$Reason :$ A constant force in the direction of motion and a velocity dependent force opposite to the direction of motion, always result in the acquisition of terminal velocity.
$Assertion :$ Falling raindrops acquire a terminal velocity.
$Reason :$ A constant force in the direction of motion and a velocity dependent force opposite to the direction of motion, always result in the acquisition of terminal velocity.
- [AIIMS 2011]
A spherical solid ball of volume $V$ is made of a material of density $\rho_1$ . It is falling through a liquid of density $\rho_2 (\rho_2 < \rho_1 )$. Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed $v$, i.e., $F_{viscous}= -kv^2 (k >0 )$,The terminal speed of the ball is
A spherical solid ball of volume $V$ is made of a material of density $\rho_1$ . It is falling through a liquid of density $\rho_2 (\rho_2 < \rho_1 )$. Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed $v$, i.e., $F_{viscous}= -kv^2 (k >0 )$,The terminal speed of the ball is
- [AIEEE 2008]