Physics · 2021
JEE Main · 27 July 2021, Shift 2 · Q8
A raindrop with radius R =0.2 mm falls from a cloud at a height h=2000 m above the ground. Assume that the drop is spherical throughout its fall and…
A raindrop with radius $\displaystyle \mathrm{R}=0.2 \mathrm{~mm}$ falls from a cloud at a height $\displaystyle h=2000 \mathrm{~m}$ above the ground. Assume that the drop is spherical throughout its fall and the force of buoyance may be neglected, then the terminal speed attained by the raindrop is :
[Density of water $\displaystyle f_{\mathrm{w}}=1000 \mathrm{~kg} \mathrm{~m}^{-3}$
and Density of air $\displaystyle f_{\mathrm{a}}=1.2 \mathrm{~kg} \mathrm{~m}^{-3}$,
$$\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2
$$
Coefficient of viscosity of air $\displaystyle \left.=1.8 \times 10^{-5} \mathrm{Nsm}^{-2}\right]$
Official answer
(2)
$\displaystyle 4.94 \mathrm{~ms}^{-1}$
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 2021 Physics question, with the answer from NTA’s final answer key. Where our answers come from.