Terminal velocity varies as the square of the radius: spheres or raindrops of different size
This type of question, asked 6 times: 3 May 2023 S2, 11 May 2023 S2, 12 May 2024 S2, 20 Apr 2025 S2, 13 May 2026 S1, 14 May 2026 S1. All 6 questions below, oldest first.
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Question 1
3 May 2023 S2
28A steel ball of radius 6 mm has a terminal speed of in a viscous liquid. What will be the terminal speed of a steel ball of radius 3 mm in the same liquid?Tap an option to check your answer.
Question 2
11 May 2023 S2
35A lead sphere of mass 'm' falls in viscous liquid with terminal velocity . Another lead sphere of mass '8m' but of same material will fall through the same liquid with terminal velocityTap an option to check your answer.
Question 3
12 May 2024 S2
5A spherical metal ball of radius falls through a viscous liquid with terminal velocity . Another metal ball of the same material but of radius falls through the same liquid. Its terminal velocity will beTap an option to check your answer.
Question 4
20 Apr 2025 S2
1Two raindrops reach the earth with different terminal velocities having the ratio 9:4. The ratio of their volumes isTap an option to check your answer.
Question 5
13 May 2026 S1
111Two solid spheres of same material but of mass M and 8M fall simultaneously on a viscous liquid and their terminal velocities are V and nV, then the value of n isTap an option to check your answer.
Question 6
14 May 2026 S1
110Two spherical rain drops reach the surface of the earth with terminal velocities having ratio . The ratio of their surface area isTap an option to check your answer.