Q.

Neglecting the density of air, the terminal velocity obtained by a raindrop of radius 0.3 mm falling through the air of viscosity 1.8 x 10-5 N/m2 will be

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

10.9 m/s

b

8.3 m/s

c

9.2 m/s

d

7.6 m/s

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The terminal velocity of the spherical raindrop of radius r is given byvt=2r2ρ-σg9ηwhere ρ is the density of water and σ the density of air and η is viscosity of air. Substituting r=0.3mm=0.3×10-3m, ρ=103kg/m3g=9.8ms−2 and η=1.8×10−5Ns/m2Compared to water, we can neglect density of air. We get vt=2×(0.3×10-3)2×103×9.89×1.8×10−5=10.9m/s
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon