A small solid sphere of radius 'r' and density 'ρ' falls under gravity in a viscous fluid of density 'σ' and coefficient of viscosity 'η'. If , and the sphere has attained terminal velocity, which of the following changes would result in a decrease in the terminal velocity, assuming all other factors remain constant?
Increasing the viscosity 'η' of the fluid
Decreasing the radius 'r' of the sphere
Increasing the density 'ρ' of the sphere
Decreasing the density 'σ' of the fluid
Related Questions
In which medium would an object reach a higher terminal velocity, assuming all other factors are equal: air or water?
Air
Water
They would be the same
It depends on the shape of the object
Which of the following factors does NOT affect the terminal velocity of a falling object in a fluid?
Mass of the object
Density of the fluid
Cross-sectional area of the object
Initial velocity of the object
A skydiver opens her parachute. What happens to her terminal velocity?
It decreases
It increases
It remains the same
It becomes zero
A small sphere of radius falls from rest in a viscous liquid. If the rate of heat production due to viscous forces is when the sphere attains terminal velocity , what would be the rate of heat production if the radius was doubled, assuming all other factors remain constant?
2P
4P
32P
8P
Two identical spheres, A and B, are released simultaneously from the same height in two different viscous liquids. Sphere A reaches terminal velocity faster than sphere B. Which of the following conclusions can be drawn about the liquids?
The liquid in which sphere A falls has a lower viscosity.
The liquid in which sphere A falls has a higher viscosity.
Both liquids have the same viscosity.
The information is insufficient to compare the viscosities.
A small sphere of radius falls from rest in a viscous liquid. Heat is produced due to the viscous force. When the sphere attains its terminal velocity, the rate of heat production is proportional to
r
r^2
r^3
r^5
A steel ball is falling through glycerin. Which of the following factors does not directly affect its terminal velocity?
The radius of the steel ball
The viscosity of glycerin
The density of steel
The height from which it is dropped
Two rain drops reach the earth with different terminal velocities having ratio 9:4. Then the ratio of their volume is
A small sphere of radius {\rm{'}}\,{\rm{r}}\,{\rm{'}} falls from rest in a viscous liquid. As a result is produced due to viscous force, The rateof production of heat when the sphere attains its terminal velocity, is proportional to
A parrot sitting on the floor of a wire cage which is being carried by a boy, starts flying. The boy will feel that the cage is now
Heavier
Lighter
Shows no change in weight
Lighter in the beginning and heavier later
