A small spherical ball of radius $r$, falling through a viscous medium of negligible density has terminal velocity ' $v$ '. Another ball of the same mass but of radius $2 r$, falling through the same viscous medium will have terminal velocity:
JEE MAIN 2024, Diffcult
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1An incompressible fluid flows steadily through a cylindrical pipe which has radius $2r$ at point $A $ and radius $r $ at $B $ further along the flow direction. If the velocity at point $A$ is $v, $ its velocity at point $B$ isView Solution
- 2There is a hole in the bottom of tank having water. If total pressure at bottom is $ 3 atm$ ($1 atm = 10^5N/m^2$) then the velocity of water flowing from hole isView Solution
- 3$Assertion :$ In a pressure cooker the water is brought to boil. The cooker is then remove from the stove. Now on removing the lid of the pressure cooker, the water starts boiling against.View Solution
$Reason :$ The impurities in water bring down its boiling point - 4A hydraulic automobile lift is designed to lift cars with a maximum mass of $3000\, kg$. The area of cross section a of piston carrying the load is $425\, cm ^{2}$. What is the maximum pressure () would smaller piston have to bear ?View Solution
- 5A heavy hollow cone of radius $R$ and height $h$ is placed on a horizontal table surface, with its flat base on the table. The whole volume inside the cone is filled with water of density $\rho$ . The circular rim of the cone’s base has a watertight seal with the table’s surface and the top apex of the cone has a small hole. Neglecting atmospheric pressure find the total upward force exerted by water on the cone isView Solution
- 6A tank $5\, m$ high is half-filled with water and then is filled to the top with oil of density $0.85\, g/cm^3$. The pressure at the bottom of the tank, due to these liquids is ....... $g\, dyne/cm^2$View Solution
- 7A tube is bent into $L$ shape and kept in a vertical plane. If these three liquids are kept in equilibrium by the piston of area $A$ , the value of $\frac {F}{A}$ isView Solution
- 8The density $\rho $ of water of bulk modulus $B $ at a depth y in the ocean is related to the density at surface ${\rho _0}$ by the relationView Solution
- 9View SolutionA cork is submerged in water by a spring attached to the bottom of a bowl. When the bowl is kept in an elevator moving with acceleration downwards, the length of spring
- 10Two drops of the same radius are falling through air with a steady velocity of $5 cm per sec.$ If the two drops coalesce, the terminal velocity would beView Solution