Physics · 2019
JEE Main · 12 April 2019, Shift 2 · Q10
A solid sphere, of radius R acquires a terminal velocity v_1 when falling (due to gravity) through a viscous fluid having a coefficient of viscosity…
A solid sphere, of radius R acquires a terminal velocity $\displaystyle v_1$ when falling (due to gravity) through a viscous fluid having a coefficient of viscosity $\displaystyle \eta$. The sphere is broken into $\displaystyle 27$ identical solid spheres. If each of these spheres acquires a terminal velocity, $\displaystyle v_2$, when falling through the same fluid, the ratio $\displaystyle \left(v_1 / v_2\right)$ equals :
Official answer
(1)
$\displaystyle 9$
More from Surface Tension and Viscosity
- Eight mercury drops, each of radius r, coalesce to form a bigger drop. The surface energy released in this process is ____. (S is the surface tension…2026
- The diameter of an air bubble which was initially 2 mm, rises steadily through a solution of density 1750 kg m^-3 at the rate of 0.35 cms^-1. The…2022
- Pressure inside a soap bubble is greater than the pressure outside by an amount: (given: R= Radius of bubble, S= Surface tension of bubble)2024
- Two spherical soap bubbles of radii r_1 and r_2 in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to:2021
- A small ball of mass M and density ρ is dropped in a viscous liquid of density ρ_o. After some time, the ball falls with a constant velocity. What is…2023
- The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is 20 cm/s. The terminal velocity of another ball of same material and…2026
- A small spherical droplet of density d is floating exactly half immersed in a liquid of density ρ and surface tension T. The radius of the droplet is…2020
- The velocity of upper layer of water in a river is 36 kmh^-1. Shearing stress between horizontal layers of water is 10^-3 Nm^-2. Depth of the river…2022
JEE Main 2019 Physics question, with the answer from NTA’s final answer key. Where our answers come from.